Relativistic kinetic gases as direct sources of gravity

verfasst von
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.

Externe Organisation(en)
University of Tartu
Transilvania University of Brasov
Typ
Artikel
Journal
Physical Review D
Band
101
ISSN
2470-0010
Publikationsdatum
15.01.2020
Publikationsstatus
Veröffentlicht
Peer-reviewed
Ja
ASJC Scopus Sachgebiete
Physik und Astronomie (sonstige)
Elektronische Version(en)
https://doi.org/10.1103/PhysRevD.101.024062 (Zugang: Unbekannt)