Ideal gas sources for the Lemaitre-Tolman-Bondi metrics
Roberto A. Sussman
TL;DR
This paper introduces new exact solutions to Lemaitre-Tolman-Bondi metrics by replacing dust with a viscous gas, providing a thermodynamically consistent model that aligns with Maxwell-Boltzmann gas properties.
Contribution
It presents novel solutions using a viscous fluid with a monatomic gas equation of state in LTB metrics, satisfying extended irreversible thermodynamics.
Findings
Solutions have a consistent thermodynamical interpretation
Transport equations match Maxwell-Boltzmann gas coefficients
Provides a new approach to modeling LTB metrics with viscous fluids
Abstract
New exact solutions emerge by replacing the dust source of the Lem\^aitre-Tolman-Bondi metrics with a viscous fluid satisfying the monatomic gas equation of state. The solutions have a consistent thermodynamical interpretation. The most general transport equation of Extended Irreversible Thermodynamics is satisfied, with phenomenological coefficients bearing a close resemblance to those characterizing a non relativistic Maxwell-Bolzmann gas.
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