Oscillatory Models in General Relativity

Language: English

Published by De Gruyter, DE, 2017

3110514958 / 9783110514957

Series: Book 39 of 53 - De Gruyter Studies in Mathematical Physics

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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 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.…

Seller Inventory # LU-9783110514957

Title
Oscillatory Models in General Relativity
Author
Esra Russell, Oktay K. Pashaev
Publisher
De Gruyter, DE
Publication year
2017
Condition
New
Binding
Hardback
Language
English
ISBN 10
3110514958
ISBN 13
9783110514957
Item weight
397 grams
Series
Book 39 of 53: De Gruyter Studies in Mathematical Physics

Rarewaves USA

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