The kinetic gas universe

Abstract

A description of many-particle systems, which is more fundamental than the fluid approach, is to consider them as a kinetic gas. In this approach the dynamical variable in which the properties of the system are encoded, is the distribution of the gas particles in position and velocity space, called 1-particle distribution function (1PDF). However, when the gravitational field of a kinetic gas is derived via the Einstein-Vlasov equations, the information about the velocity distribution of the gas particles is averaged out and therefore lost. We propose to derive the gravitational field of a kinetic gas directly from its 1PDF, taking the velocity distribution fully into account. We conjecture that this refined approach could possibly account for the observed dark energy phenomenology.

arXiv comment4 pages, Essay written for the Gravity Research Foundation competition 2020, Journal references updated

References in corpus (9)

• Finsler geometric extension of Einstein gravity
• The Einstein-Vlasov System/Kinetic Theory
• Finsler gravity action from variational completion
• On the definition and examples of cones and Finsler spacetimes
• The geometry of the tangent bundle and the relativistic kinetic theory of gases
• Cosmological Finsler Spacetimes
• Berwald spacetimes and very special relativity
• Relativistic kinetic gases as direct sources of gravity
• Relativistic Kinetic Theory: An Introduction

Cited by in corpus (17)

• The CosmoVerse White Paper: Addressing observational tensions in cosmology with systematics and fundamental physics
• Cosmological evolution and dark energy in osculating Barthel-Randers geometry
• Mathematical foundations for field theories on Finsler spacetimes
• Cosmological tests of the osculating Barthel-Kropina dark energy model
• Dark energy and accelerating cosmological evolution from osculating Barthel-Kropina geometry
• Randers pp-waves
• A Cosmological Unicorn Solution to Finsler Gravity
• Four-dimensional SO(3)-spherically symmetric Berwald Finsler spaces
• Relativistic deformed kinematics: from flat to curved spacetimes
• Cosmological Landsberg Finsler spacetimes
• From Barthel Randers Kropina Geometries to the Accelerating Universe: A Brief Review of Recent Advances in Finslerian Cosmology
• Multimetric Finsler Geometry
• Birkhoff Theorem for Berwald Finsler spacetimes
• Weak equivalence principle and nonrelativistic limit of general dispersion relations
• From kinetic gases to an exponentially expanding universe - The Finsler-Friedmann equation
• Metrizability of SO(3)-invariant connections: Riemann versus Finsler
• Kinetic gases in static spherically symmetric modified dispersion relations