TY  - GEN
T1  - Oscillatory Models in General Relativity.
T2  - De Gruyter Studies in Mathematical Physics
A1  - Russell, Esra
LA  - English
PB  - De Gruyter
YR  - 2017
UL  - https://ebooks.jgu.edu.in/Record/ebsco_acadsubs_on1013740517
AB  - 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 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. ContentsPart I: Dissipative geometry and general relativity theoryPseudo-Riemannian geometry and general relativityDynamics of universe modelsAnisotropic and homogeneous universe modelsMetric waves in a nonstationary universe and dissipative oscillatorBosonic and fermionic models of a Friedman-Robertson-Walker universeTime dependent constants in an oscillatory universe Part II: Variational principle for time dependent oscillations and dissipationsLagrangian and Hamilton descriptionsDamped oscillator: classical and quantum theorySturm-Liouville problem as a damped oscillator with time dependent damping and frequencyRiccati representation of time dependent damped oscillatorsQuantization of the harmonic oscillator with time dependent parameters.
CN  - QC806
SN  - 3110515369
SN  - 9783110515367
SN  - 9783110515374
SN  - 3110515377
SN  - 3110514958
SN  - 9783110515220
SN  - 3110515229
KW  - Cosmic physics.
KW  - Oscillations.
KW  - Stellar oscillations.
KW  - General relativity (Physics)
KW  - Physique spatiale.
KW  - Oscillations stellaires.
KW  - Relativité générale (Physique)
KW  - oscillation.
KW  - SCIENCE : Energy.
KW  - SCIENCE : Mechanics : General.
KW  - SCIENCE : Physics : General.
KW  - Cosmic physics
KW  - Oscillations
KW  - Stellar oscillations
ER  -