Collective classical motion on hyperbolic spacetimes of any dimensions
Abstract
The geodesics equations on de Sitter (dS) and anti-de Sitter (AdS) spacetimes of any dimensions, are the starting point for deriving the general form of the Boltzmann equation in terms of conserved quantities. The simple equation for the non-equilibrium Marle and Anderson-Witting models are derived and the distributions of the Boltzmann-Marle model on these manifolds are written down first in terms of conserved quantities and then as functions of canonical variables.
- Publication:
-
Modern Physics Letters A
- Pub Date:
- July 2019
- DOI:
- arXiv:
- arXiv:1802.01959
- Bibcode:
- 2019MPLA...3450165C
- Keywords:
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- Hyperbolic spacetimes;
- conserved quantities;
- geodesics;
- Boltzmann equation;
- Marle model;
- Anderson–Witting model;
- analytic solution;
- 04.20.Cv;
- Fundamental problems and general formalism;
- General Relativity and Quantum Cosmology
- E-Print:
- 13 pages, no figures