The effect of spacetime curvature on statistical distributions

DOI10.1088/1361-6382/ac11a9zbMath1482.83021arXiv2104.09019OpenAlexW3152669150MaRDI QIDQ5162930

Naoki Sato

Publication date: 8 November 2021

Published in: Classical and Quantum Gravity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.09019

zbMATH Keywords

Liouville theoremgeodesic equationsSchwarzschild solutionstatistical mechanicsHamiltonian mechanicsKerr-Newman solutionspacetime curvature

Mathematics Subject Classification ID

Hamilton's equations (70H05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Ergodic theorems, spectral theory, Markov operators (37A30) Geodesics in global differential geometry (53C22) Constrained dynamics, Dirac's theory of constraints (70H45) Exact solutions to problems in general relativity and gravitational theory (83C15) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Statistical mechanics of gases (82D05) Statistical thermodynamics (82B30) Boltzmann equations (35Q20)

Related Items

Study of ideal gases in curved spacetimes

Cites Work

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• Republication of: New mechanics of material systems. Translation from [Acta Phys. Polon. 6, 163--200 (1937)]
• Statistical origin of quantum mechanics
• Dissipative brackets for the Fokker-Planck equation in Hamiltonian systems and characterization of metriplectic manifolds
• Self-organization in foliated phase space: Construction of a scale hierarchy by adiabatic invariants of magnetized particles
• Ergodic theorem, ergodic theory, and statistical mechanics
• Thermal time and Tolman–Ehrenfest effect: ‘temperature as the speed of time’
• Information Theory and Statistical Mechanics
• Hamiltonians and canonical coordinates for spinning particles in curved space-time
• NON-NEWTONIAN BEHAVIOR IN WEAK FIELD GENERAL RELATIVITY FOR EXTENDED ROTATING SOURCES
• Gravitational Field of a Spinning Mass as an Example of Algebraically Special Metrics
• Statistical mechanics of gravity and the thermodynamical origin of time
• Thermodynamics of Spacetime: The Einstein Equation of State
• Diffusion in curved spacetimes
• Statistical mechanics with non-integrable topological constraints: Self-organization in knotted phase space
• The Kerr metric
• Maximal Analytic Extension of the Kerr Metric
• Global Structure of the Kerr Family of Gravitational Fields
• Spinning test-particles in general relativity. I
• General Relativity