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Books > Science & Mathematics > Physics > Relativity physics
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Oscillatory Models in General Relativity (Hardcover)
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Oscillatory Models in General Relativity (Hardcover)
Series: De Gruyter Studies in Mathematical Physics
Expected to ship within 12 - 17 working days
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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. 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
General
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