Details
| Original language | English |
|---|---|
| Article number | 024062 |
| Journal | Physical Review D |
| Volume | 101 |
| Issue number | 2 |
| Publication status | Published - 15 Jan 2020 |
| Externally published | Yes |
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.
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Physics and Astronomy (miscellaneous)
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In: Physical Review D, Vol. 101, No. 2, 024062, 15.01.2020.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Relativistic kinetic gases as direct sources of gravity
AU - Hohmann, Manuel
AU - Pfeifer, Christian
AU - Voicu, Nicoleta
N1 - 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).
PY - 2020/1/15
Y1 - 2020/1/15
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85079757418&partnerID=8YFLogxK
U2 - 10.1103/PhysRevD.101.024062
DO - 10.1103/PhysRevD.101.024062
M3 - Article
AN - SCOPUS:85079757418
VL - 101
JO - Physical Review D
JF - Physical Review D
SN - 2470-0010
IS - 2
M1 - 024062
ER -