000			01976 a2200217 4500
020			_a9783110514957
040			_cIIT Kanpur
041			_aeng
082			_a530.11 _bR911o
100			_aRussell, Esra
245			_aOscillatory models in general relativity _cEsra Russell and Oktay K. Pashaev
260			_bWalter De Gruyter _c2018 _aBerlin
300			_axii,140p.
440			_aStudies in mathematical physics; v.41
440			_aedited by Michael Efroimsky
520			_aThe 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 oscillators. The wide class of exactly solvable damped oscillator models with variable parameters is associated with classical special functions of mathematical physics. Combining principles with observations in an easy to follow way, it inspires further thinking for mathematicians and physicists. 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
650			_aCosmic physics
650			_aOscillations
700			_aPashaev, Oktay K.
942			_cBK
999			_c558944 _d558944