Oscillatory Models in General Relativity /

Oscillatory Models in General Relativity / / Esra Russell, Oktay K. Pashaev.

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The book employs oscillatory dynamical systems to represent the Universe mathematically via constructing classical and quantum theory of damped oscillators. It further discusses isotropic and homogeneous metrics in the Friedman-Robertson-Walker Universe and shows their equivalence to non-stationary...

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Bibliographic Details
Superior document:Title is part of eBook package: De Gruyter DG Plus DeG Package 2018 Part 1
VerfasserIn:
Russell, Esra,
Pashaev, Oktay K.,
Place / Publishing House:Berlin ;, Boston : : De Gruyter, , [2017]
©2018
Year of Publication:2017
Language:English
Series:De Gruyter Studies in Mathematical Physics , 41
Online Access:
Physical Description:1 online resource (XII, 140 p.)
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Table of Contents:
  • Frontmatter
  • Contents
  • Introduction
  • Part I: Dissipative geometry and general relativity theory
  • 1. Pseudo-Riemannian geometry and general relativity
  • 2. Dynamics of universe models
  • 3. Anisotropic and homogeneous universe models
  • 4. Metric waves in a nonstationary universe and dissipative oscillator
  • 5. Bosonic and fermionic models of a Friedman–Robertson–Walker universe
  • 6. Time dependent constants in an oscillatory universe
  • Part II: Variational principle for time dependent oscillations and dissipations
  • 7. Lagrangian and Hamilton descriptions
  • 8. Damped oscillator: classical and quantum theory
  • 9. Sturm–Liouville problem as a damped oscillator with time dependent damping and frequency
  • 10. Riccati representation of time dependent damped oscillators
  • 11. Quantization of the harmonic oscillator with time dependent parameters
  • Bibliography
  • Index

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