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General Relativity and Cosmology: A First Encounter 2021 ed. [Kietas viršelis]

  • Formatas: Hardback, 313 pages, aukštis x plotis: 235x155 mm, weight: 664 g, 7 Illustrations, color; 81 Illustrations, black and white; XIV, 313 p. 88 illus., 7 illus. in color., 1 Hardback
  • Serija: Graduate Texts in Physics
  • Išleidimo metai: 23-Jan-2021
  • Leidėjas: Springer Nature Switzerland AG
  • ISBN-10: 3030615731
  • ISBN-13: 9783030615734
Kitos knygos pagal šią temą:
General Relativity and Cosmology: A First Encounter 2021 ed.Didesnis paveikslėlis
  • Formatas: Hardback, 313 pages, aukštis x plotis: 235x155 mm, weight: 664 g, 7 Illustrations, color; 81 Illustrations, black and white; XIV, 313 p. 88 illus., 7 illus. in color., 1 Hardback
  • Serija: Graduate Texts in Physics
  • Išleidimo metai: 23-Jan-2021
  • Leidėjas: Springer Nature Switzerland AG
  • ISBN-10: 3030615731
  • ISBN-13: 9783030615734
Kitos knygos pagal šią temą:
Pastovi nuoroda: https://www.kriso.lt/db/9783030615734.html
Gravitational physics has now become a mainstream topic in physics and physics teaching. In particular cosmology and gravitational wave physics are at the focus of a great deal of current research. Thus it is important to introduce students to General Relativity as soon as reasonable. This textbook offers a brief but comprehensive treatment accessible to advanced undergraduate students, graduate students, and any physicist or mathematician interested in understanding the material in a short time. The author, an experienced teacher of the subject, has included numerous examples and exercises to help students consolidate the ideas they have learned. Solutions to the exercises are provided as supplementary material in the online chapters.
Part I Special Relativity in Review
1 A Brief Stroll in Special Relativity
3(10)
1.1 The Trouble with Absolute Time
3(2)
1.2 The Simplest Lorentz Transformation
5(3)
1.3 Some Elementary Properties and Applications
8(5)
2 Lorentz Transformations
13(6)
2.1 The Lorentz Group
13(2)
2.2 Four-Vectors and Tensors
15(4)
3 The Motion of Particles
19(14)
3.1 Energy and Momentum
19(4)
3.2 Acceleration
23(2)
3.3 Accelerated Motion
25(2)
3.4 Curves and Arc Lengths
27(6)
Part II Vectors and Tensors
4 Riemann Spaces and Tensors
33(26)
4.1 Riemann Spaces
33(5)
4.2 Vectors, Component View
38(2)
4.3 Vectors and 1-Forms, Abstract View
40(4)
4.4 Tensors, Component View
44(4)
4.5 Tensors, Abstract View
48(1)
4.6 Tetrads and n-Trads
49(3)
4.7 Volume Elements
52(7)
5 Affine Connections and Geodesies
59(22)
5.1 Affine Connections, Component View
59(2)
5.2 Transformation of the Affine Connections
61(3)
5.3 Parallel Displacement
64(3)
5.4 Geodesies as Self-parallel Curves
67(2)
5.5 Geodesies as Extremum Curves
69(4)
5.6 Affine Connections, Abstract View
73(8)
6 Tensor Analysis
81(14)
6.1 Covariant Derivatives, Component View
81(4)
6.2 Covariant Derivatives, Abstract View
85(2)
6.3 The Divergence and Laplacian
87(8)
Part III General Relativity
7 Classical Gravity and Geometry
95(14)
7.1 Newtonian Gravity
95(3)
7.2 The Equivalence Principle
98(4)
7.3 Gravity as a Geometric Phenomenon
102(7)
8 Curved Space and Gravity
109(16)
8.1 Curved Space and the Riemann Tensor
109(4)
8.2 Symmetries of the Riemann Tensor
113(2)
8.3 The Einstein Equations for the Gravitational Field in Vacuum
115(2)
8.4 The Non-vacuum Field Equations
117(4)
8.5 The Intrinsic Signature of Gravity
121(4)
9 Spherically Symmetric Gravitational Fields
125(16)
9.1 The Schwarzschild Solution
125(4)
9.2 Orbit of a Planet
129(5)
9.3 Deflection of Light
134(3)
9.4 Observational Tests of General Relativity
137(4)
10 Black Holes and Gravitational Collapse
141(18)
10.1 Schwarzschild Black Hole
141(4)
10.2 Null Surfaces
145(3)
10.3 Stellar Evolution, Very Briefly
148(1)
10.4 Collapse of a Dust Star
149(1)
10.5 Spinning Black Holes and the Kerr Metric
150(2)
10.6 Black Holes in the Real Universe
152(1)
10.7 Hawking Radiation from a Black Hole
153(6)
11 Linearized General Relativity and Gravitational Waves
159(34)
11.1 The Field Equations of the Linearized Theory
159(4)
11.2 The Classical Limit
163(1)
11.3 Gravitational Plane Waves
164(4)
11.4 Motion of Test Bodies in Gravitational Waves
168(3)
11.5 Gravitational Wave Sources
171(8)
11.6 Detection of Gravitational Waves
179(14)
Part IV Cosmology
12 The Einstein Field Equations for Cosmology
193(10)
12.1 The Field Equations and Energy-Momentum Conservation
193(2)
12.2 Field Equations and the Cosmic Fluid Source
195(3)
12.3 The Cosmological Constant as Vacuum or Dark Energy
198(2)
12.4 Summary
200(3)
13 Cosmological Preliminaries
203(20)
13.1 Basic Observations and Assumptions
203(4)
13.2 The Cosmological FLRW Metric
207(4)
13.3 Consequences of the Metric
211(6)
13.4 De Sitter Space
217(6)
14 The Dynamical Equations of Cosmology
223(10)
14.1 The Einstein Field Equations for Cosmology
223(2)
14.2 Critical Density and the Shape of the Universe
225(1)
14.3 Observed Dark Matter and Dark Energy Densities
226(1)
14.4 Evolution of Cosmic Fluid Constituents
227(3)
14.5 The Friedmann Master Equation
230(3)
15 Solutions for the Present Universe
233(14)
15.1 The Positive Cosmological Constant
233(1)
15.2 Complete Solution of the Friedmann Master Equation
234(1)
15.3 Cosmological Constant Dominance
234(2)
15.4 Matter Dominance
236(2)
15.5 The LCDM Universe
238(9)
16 Some Properties of the LCDM Universe
247(16)
16.1 Diverse Cosmological Observations
247(4)
16.2 Cosmological Parameter Values
251(1)
16.3 The Hubble Function and the Age of the Universe
252(1)
16.4 Transition Time for Matter to Dark Energy Dominance
253(1)
16.5 Density Ratios and the Shape of the Universe
254(3)
16.6 Horizons and the Size of the Observable Universe
257(2)
16.7 Conformal Time
259(4)
17 Earlier Times and Radiation
263(12)
17.1 Radiation and Temperature in Earlier Times
263(4)
17.2 The Scale Factor and Basic Properties of the Radiation Era
267(2)
17.3 The Isotropic CMB and the Horizon Puzzle
269(1)
17.4 The Anisotropics of the CMB
270(5)
18 A Brief Historical Overview of the Universe
275(6)
18.1 Overview
275(2)
18.2 Condensation of Stars and Galaxies
277(1)
18.3 Condensation of Atoms
277(1)
18.4 Condensation of Nuclei
278(1)
18.5 Condensation of Nucleons
278(1)
18.6 Inflation
279(1)
18.7 Planck Era
279(2)
19 Inflation and Some Questions
281(22)
19.1 Basic Ideas of Inflation
281(3)
19.2 Inflation Via Scalar Fields
284(2)
19.3 Origin of Structure
286(4)
19.4 The Physical Nature of Dark Energy
290(1)
19.5 The Physical Nature of Dark Matter
291(1)
19.6 The Planck Era and Quantum Physics
292(11)
References 303(6)
Index 309
Ronald Adler has worked mainly in theoretical particle physics and general relativity. His experience also includes work in experimental particle physics, experimental general relativity, experiments in high temperature superconductivity, satellite and orbital launch systems, and digital image analysis. He is the co-author of a classic textbook on general relativity and has devoted over half a century to teaching physics students at a number of universities. He is also the author of many research publications, and is currently working on fundamental physics problems including the nature of dark matter and dark energy, properties of black holes and gravitational waves, the birth of the universe, and physics at the Planck scale. In his free time he enjoys mountaineering and hiking.