The kinetic gas universe
Manuel Hohmann, Christian Pfeifer, Nicoleta Voicu

TL;DR
This paper proposes a new method to derive the gravitational field of a kinetic gas directly from its 1-particle distribution function, potentially explaining dark energy phenomena by preserving velocity distribution details.
Contribution
It introduces a refined approach to derive gravitational fields from kinetic gases that retains velocity distribution information, unlike traditional Einstein-Vlasov methods.
Findings
Potential to account for dark energy phenomenology
Preserves velocity distribution in gravitational calculations
Offers a new perspective on kinetic gas modeling
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.
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