Relativistic kinetic gases as direct sources of gravity

authored by: Manuel Hohmann, Christian Pfeifer, Nicoleta Voicu
Abstract: We propose a new model for the description of a gravitating multiparticle system, viewed as a kinetic gas. The properties of the (colliding or noncolliding) particles are encoded into a so-called one-particle distribution function, which is a density on the space of allowed particle positions and velocities, i.e., on the tangent bundle of the spacetime manifold. We argue that an appropriate theory of gravity, describing the gravitational field generated by a kinetic gas, must also be modeled on the tangent bundle. The most natural mathematical framework for this task is Finsler spacetime geometry. Following this line of argumentation, we construct a coupling between the kinetic gas and a recently proposed Finsler geometric extension of general relativity. Additionally, we explicitly show how the general covariance of the action of the kinetic gas on the tangent bundle leads to a novel formulation of its energy-momentum conservation in terms of its energy-momentum distribution tensor.
External Organisation(s): University of Tartu
Transilvania University of Brasov
Type: Article
Journal: Physical Review D
Volume: 101
ISSN: 2470-0010
Publication date: 15.01.2020
Publication status: Published
Peer reviewed: Yes
ASJC Scopus subject areas: Physics and Astronomy (miscellaneous)
Electronic version(s): https://doi.org/10.1103/PhysRevD.101.024062 (Access: Unknown)

BibTeX

@article{b1faefc648944c66b7f01bbd229fd2dd,
title = "Relativistic kinetic gases as direct sources of gravity",
abstract = "We propose a new model for the description of a gravitating multiparticle system, viewed as a kinetic gas. The properties of the (colliding or noncolliding) particles are encoded into a so-called one-particle distribution function, which is a density on the space of allowed particle positions and velocities, i.e., on the tangent bundle of the spacetime manifold. We argue that an appropriate theory of gravity, describing the gravitational field generated by a kinetic gas, must also be modeled on the tangent bundle. The most natural mathematical framework for this task is Finsler spacetime geometry. Following this line of argumentation, we construct a coupling between the kinetic gas and a recently proposed Finsler geometric extension of general relativity. Additionally, we explicitly show how the general covariance of the action of the kinetic gas on the tangent bundle leads to a novel formulation of its energy-momentum conservation in terms of its energy-momentum distribution tensor.",
author = "Manuel Hohmann and Christian Pfeifer and Nicoleta Voicu",
note = "Funding information: M. H. and C. P. were supported by the Estonian Ministry for Education and Science through the Personal Research Funding Grant No. PRG356, as well as the European Regional Development Fund through the Center of Excellence TK133 “The Dark Side of the Universe.” The authors would like to acknowledge networking support by the COST Actions Cosmology and Astrophysics Network for Theoretical Advances and Training Actions (CANTATA) (CA15117) and Quantum Gravity Phenomenology in the Multi-Messenger Approach (QGMM) (CA18108), supported by COST (European Cooperation in Science and Technology).",
year = "2020",
month = jan,
day = "15",
doi = "10.1103/PhysRevD.101.024062",
language = "English",
volume = "101",
journal = "Physical Review D",
issn = "2470-0010",
publisher = "American Institute of Physics",
number = "2",
}