Oscillatory models in general relativity

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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Main Author: Russell, Esra
Other Authors: Pashaev, Oktay K.
Format: eBook
Published: Berlin ; Boston De Gruyter 2017, ©2018
Series:De Gruyter studies in mathematical physics
Online Access:
Collection: DeGruyter MPG Collection - Collection details see MPG.ReNa
Table of Contents:
  • Part I: Dissipative geometry and general relativity theory
  • Pseudo-Riemannian geometry and general relativity
  • Dynamics of universe models
  • Anisotropic and homogeneous universe models
  • Metric waves in a nonstationary universe and dissipative oscillator
  • Bosonic and fermionic models of a Friedman–Robertson–Walker universe
  • Time dependent constants in an oscillatory universe
  • Part II: Variational principle for time dependent oscillations and dissipations
  • Lagrangian and Hamilton descriptions
  • Damped oscillator: classical and quantum theory
  • Sturm–Liouville problem as a damped oscillator with time dependent damping and frequency
  • Riccati representation of time dependent damped oscillators
  • Quantization of the harmonic oscillator with time dependent parameters