Oscillatory Models in General Relativity / / Esra Russell, Oktay K. Pashaev.
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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Superior document: | Title is part of eBook package: De Gruyter DG Plus DeG Package 2018 Part 1 |
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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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100 | 1 | |a Russell, Esra, |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
245 | 1 | 0 | |a Oscillatory Models in General Relativity / |c Esra Russell, Oktay K. Pashaev. |
264 | 1 | |a Berlin ; |a Boston : |b De Gruyter, |c [2017] | |
264 | 4 | |c ©2018 | |
300 | |a 1 online resource (XII, 140 p.) | ||
336 | |a text |b txt |2 rdacontent | ||
337 | |a computer |b c |2 rdamedia | ||
338 | |a online resource |b cr |2 rdacarrier | ||
347 | |a text file |b PDF |2 rda | ||
490 | 0 | |a De Gruyter Studies in Mathematical Physics , |x 2194-3532 ; |v 41 | |
505 | 0 | 0 | |t Frontmatter -- |t Contents -- |t Introduction -- |t Part I: Dissipative geometry and general relativity theory -- |t 1. Pseudo-Riemannian geometry and general relativity -- |t 2. Dynamics of universe models -- |t 3. Anisotropic and homogeneous universe models -- |t 4. Metric waves in a nonstationary universe and dissipative oscillator -- |t 5. Bosonic and fermionic models of a Friedman–Robertson–Walker universe -- |t 6. Time dependent constants in an oscillatory universe -- |t Part II: Variational principle for time dependent oscillations and dissipations -- |t 7. Lagrangian and Hamilton descriptions -- |t 8. Damped oscillator: classical and quantum theory -- |t 9. Sturm–Liouville problem as a damped oscillator with time dependent damping and frequency -- |t 10. Riccati representation of time dependent damped oscillators -- |t 11. Quantization of the harmonic oscillator with time dependent parameters -- |t Bibliography -- |t Index |
506 | 0 | |a restricted access |u http://purl.org/coar/access_right/c_16ec |f online access with authorization |2 star | |
520 | |a 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 | ||
530 | |a Issued also in print. | ||
538 | |a Mode of access: Internet via World Wide Web. | ||
546 | |a In English. | ||
588 | 0 | |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 28. Feb 2023) | |
650 | 0 | |a Cosmic physics. | |
650 | 0 | |a General relativity (Physics). | |
650 | 0 | |a Oscillations. | |
650 | 0 | |a Stellar oscillations. | |
650 | 7 | |a SCIENCE / Physics / Relativity. |2 bisacsh | |
700 | 1 | |a Pashaev, Oktay K., |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t DG Plus DeG Package 2018 Part 1 |z 9783110762488 |
773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t DG Plus eBook-Package 2018 |z 9783110719550 |
773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t DG Studies in Mathematical Physics eBook-Package |z 9783110645309 |
773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t EBOOK PACKAGE COMPLETE 2017 |z 9783110540550 |o ZDB-23-DGG |
773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t EBOOK PACKAGE COMPLETE ENGLISH 2017 |z 9783110625264 |
773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t EBOOK PACKAGE Physics, Chemistry, Materials Sc, Geosc 2017 |z 9783110548235 |o ZDB-23-DPC |
776 | 0 | |c EPUB |z 9783110515220 | |
776 | 0 | |c print |z 9783110514957 | |
856 | 4 | 0 | |u https://doi.org/10.1515/9783110515367 |
856 | 4 | 0 | |u https://www.degruyter.com/isbn/9783110515367 |
856 | 4 | 2 | |3 Cover |u https://www.degruyter.com/document/cover/isbn/9783110515367/original |
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