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El. knyga: General Relativistic Effects and Elliptic Functions

  • Formatas: 160 pages
  • Išleidimo metai: 19-Mar-2024
  • Leidėjas: Cambridge Scholars Publishing
  • ISBN-13: 9781036402365
  • Formatas: 160 pages
  • Išleidimo metai: 19-Mar-2024
  • Leidėjas: Cambridge Scholars Publishing
  • ISBN-13: 9781036402365

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This collection of articles highlights all possible trajectories of particles and light under the influence of a gravitational field of all possible strengths that may exist in our universe, including that of a black hole; and it also highlights the beautiful mathematical formulas that can express all these trajectories, according to Einstein's theory of general relativity. For this to be possible, the authors use mathematical functions called elliptic functions that can describe orbits, including the familiar circular, elliptical, parabolic and hyperbolic orbits. Some readers can put aside technical terms such as "Schwarzschild metric" which simply specifies a certain condition that excludes cases such as a spinning black hole, and "Parameter Space" which simply specifies all possible energy, momentum of an object or light and the character of the massive body (black hole included), and go directly to see the mathematical expressions that describe the trajectories, and the relevant graphs.
F.T. Hioe is Professor Emeritus of Physics at St John Fisher College (New York, USA) and Senior Research Associate Emeritus at the University of Rochester (New York, USA). He received his BSc (Hons) in Physics and ARCS from Imperial College London, and his PhD (Theoretical Physics) from King's College London. His research interests are in statistical mechanics, quantum optics, nonlinear dynamics, and mathematical physics. He has published over 100 research articles.David J. Kuebel was Assistant Professor of Physics at St John Fisher College (New York, USA). He obtained his BS at St John Fisher College (summa cum laude) and his Master's and PhD (Particle Physics) from the University of Chicago (USA). He completed his doctoral studies at Argonne National Laboratory (Illinois, USA). He has also coauthored several articles with Dr Emil Wolf focusing on theories of coherence and polarization and inverse scattering.