| Notation |
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xvi | |
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Part I: Gravitational-wave theory |
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1 | (332) |
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The geometric approach to GWs |
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3 | (49) |
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Expansion around flat space |
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4 | (3) |
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The transverse-traceless gauge |
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7 | (6) |
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Interaction of GWs with test masses |
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13 | (13) |
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Geodesic equation and geodesic deviation |
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13 | (2) |
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Local inertial frames and freely falling frames |
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15 | (2) |
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TT frame and proper detector frame |
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17 | (9) |
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26 | (14) |
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Separation of GWs from the background |
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27 | (2) |
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How GWs curve the background |
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29 | (6) |
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The energy-momentum tensor of GWs |
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35 | (5) |
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Propagation in curved space-time |
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40 | (8) |
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Geometric optics in curved space |
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42 | (4) |
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Absorption and scattering of GWs |
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46 | (2) |
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48 | (4) |
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Linearization of the Riemann tensor in curved space |
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48 | (1) |
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Gauge transformation of hμ and Rμ ρσ(1) |
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49 | (2) |
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51 | (1) |
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The field-theoretical approach to GWs |
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52 | (49) |
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Linearized gravity as a classical field theory |
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53 | (13) |
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53 | (5) |
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The energy-momentum tensor of GWs |
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58 | (3) |
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The angular momentum of GWs |
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61 | (5) |
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66 | (15) |
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66 | (4) |
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70 | (4) |
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From gravitons to gravity |
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74 | (5) |
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Effective field theories and the Planck scale |
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79 | (2) |
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81 | (14) |
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82 | (2) |
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Field theory of massive gravitons |
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84 | (11) |
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95 | (6) |
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The helicity of gravitons |
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95 | (3) |
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Angular momentum and parity of graviton states |
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98 | (2) |
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100 | (1) |
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Generation of GWs in linearized theory |
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101 | (66) |
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Weak-field sources with arbitrary velocity |
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102 | (3) |
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105 | (4) |
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Mass quadrupole radiation |
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109 | (16) |
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Amplitude and angular distribution |
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109 | (4) |
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113 | (1) |
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Radiated angular momentum |
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114 | (2) |
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Radiation reaction on non-relativistic sources |
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116 | (5) |
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Radiation from a closed system of point masses |
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121 | (4) |
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Mass octupole and current quadrupole |
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125 | (6) |
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Systematic multipole expansion |
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131 | (25) |
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Symmetric-trace-free (STF) form |
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134 | (5) |
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139 | (17) |
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156 | (11) |
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Quadrupole radiation from an oscillating mass |
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156 | (2) |
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Quadrupole radiation from a mass in circular orbit |
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158 | (3) |
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Mass octupole and current quadrupole radiation from a mass in circular orbit |
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161 | (2) |
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Decomposition of Skl, m into irreducible representations of SO(3) |
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163 | (2) |
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Computation of ι dΩ (TlmE2, B2)*ijni1 ...niα |
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165 | (1) |
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166 | (1) |
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167 | (69) |
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Inspiral of compact binaries |
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167 | (33) |
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Circular orbits. The chirp amplitude |
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169 | (7) |
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Elliptic orbits. (I) Total power and frequency spectrum of the radiation emitted |
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176 | (8) |
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Elliptic orbits. (II) Evolution of the orbit under back-reaction |
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184 | (6) |
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Binaries at cosmological distances |
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190 | (10) |
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Radiation from rotating rigid bodies |
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200 | (15) |
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GWs from rotation around a principal axis |
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201 | (3) |
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GWs from freely precessing rigid bodies |
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204 | (11) |
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Radial infall into a black hole |
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215 | (9) |
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Radiation from an infalling point-like mass |
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215 | (4) |
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Tidal disruption of a real star falling into a black hole. Coherent and incoherent radiation |
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219 | (5) |
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Radiation from accelerated masses |
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224 | (6) |
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GWs produced in elastic collisions |
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224 | (3) |
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Lack of beaming of GWs from accelerated masses |
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227 | (3) |
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230 | (6) |
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Fourier transform of the chirp signal |
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230 | (3) |
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Fourier decomposition of elliptic Keplerian motion |
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233 | (2) |
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235 | (1) |
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GW generation by post-Newtonian sources |
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236 | (66) |
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The post-Newtonian expansion |
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237 | (13) |
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Slowly moving, weakly self-gravitating sources |
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237 | (2) |
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PN expansion of Einstein equations |
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239 | (1) |
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240 | (2) |
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242 | (3) |
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Motion of test particles in the PN metric |
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245 | (2) |
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Difficulties of the PN expansion |
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247 | (2) |
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The effect of back-reaction |
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249 | (1) |
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The relaxed Einstein equations |
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250 | (3) |
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The Blanchet-Damour approach |
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253 | (26) |
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Post-Minkowskian expansion outside the source |
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253 | (6) |
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PN expansion in the near region |
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259 | (4) |
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Matching of the solutions |
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263 | (3) |
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Radiative fields at infinity |
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266 | (9) |
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275 | (4) |
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279 | (3) |
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Strong-field sources and the effacement principle |
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282 | (7) |
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Radiation from inspiraling compact binaries |
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289 | (13) |
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The need for a very high-order computation |
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290 | (2) |
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The 3.5PN equations of motion |
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292 | (2) |
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Energy flux and orbital phase to 3.5PN order |
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294 | (2) |
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296 | (3) |
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299 | (3) |
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Experimental observation of GW emission in compact binaries |
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302 | (31) |
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The Hulse-Taylor binary pulsar |
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302 | (3) |
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The pulsar timing formula |
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305 | (21) |
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305 | (1) |
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Roemer, Shapiro and Einstein time delays |
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306 | (8) |
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Relativistic corrections for binary pulsars |
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314 | (12) |
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The double pulsar, and more compact binaries |
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326 | (7) |
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331 | (2) |
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Part II: Gravitational-wave experiments |
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333 | (204) |
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335 | (80) |
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The noise spectral density |
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335 | (4) |
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Pattern functions and angular sensitivity |
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339 | (4) |
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343 | (3) |
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Probability and statistics |
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346 | (15) |
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Frequentist and Bayesian approaches |
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346 | (4) |
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350 | (6) |
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Matched filtering statistics |
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356 | (5) |
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361 | (10) |
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Optimal signal-to-noise ratio |
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361 | (4) |
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365 | (4) |
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369 | (2) |
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371 | (16) |
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373 | (2) |
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Doppler shift and phase modulation |
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375 | (6) |
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Efficient search algorithms |
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381 | (6) |
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Coalescence of compact binaries |
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387 | (5) |
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Elimination of extrinsic variables |
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388 | (2) |
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The sight distance to coalescing binaries |
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390 | (2) |
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392 | (23) |
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Characterization of stochastic backgrounds |
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393 | (4) |
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397 | (3) |
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400 | (13) |
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413 | (2) |
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415 | (55) |
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The interaction of GWs with an elastic body |
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415 | (12) |
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415 | (5) |
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The response to periodic signals |
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420 | (1) |
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The absorption cross-section |
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421 | (6) |
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The read-out system: how to measure extremely small displacements |
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427 | (9) |
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428 | (4) |
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432 | (4) |
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436 | (23) |
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437 | (6) |
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Read-out noise and effective temperature |
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443 | (3) |
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Back-action noise and the quantum limit |
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446 | (3) |
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Quantum non-demolition measurements |
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449 | (4) |
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Experimental sensitivities |
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453 | (6) |
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459 | (11) |
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The interaction of a sphere with GWs |
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459 | (7) |
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Spheres as malti-mode detectors |
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466 | (3) |
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469 | (1) |
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470 | (67) |
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A simple Michelson interferometer |
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470 | (10) |
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The interaction with GWs in the TT gauge |
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471 | (5) |
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The interaction in the proper detector frame |
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476 | (4) |
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Interferometers with Fabry-Perot cavities |
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480 | (17) |
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Electromagnetic fields in a FP cavity |
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480 | (9) |
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Interaction of a FP cavity with GWs |
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489 | (5) |
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Angular sensitivity and pattern functions |
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494 | (3) |
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Toward a real GW interferometer |
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497 | (18) |
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Diffraction and Gaussian beams |
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497 | (7) |
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Detection at the dark fringe |
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504 | (6) |
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510 | (1) |
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511 | (4) |
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515 | (13) |
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516 | (3) |
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519 | (3) |
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The standard quantum limit |
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522 | (2) |
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524 | (4) |
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Existing and planned detectors |
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528 | (9) |
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528 | (4) |
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532 | (3) |
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535 | (2) |
| Bibliography |
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537 | (12) |
| Index |
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549 | |
