Thermal Mass limit of Neutron Cores

Abstract

Static thermal equilibrium of a quantum self-gravitating ideal gas in general relativity is studied at any temperature, taking into account the Tolman-Ehrenfest effect. Thermal contribution to the gravitational stability of static neutron cores is quantified. The curve of maximum mass with respect to temperature is reported. At low temperatures the Oppenheimer-Volkoff calculation is recovered, while at high temperatures the recently reported classical gas calculation is recovered. An ultimate upper mass limit $M=2.43M_{\odot }$ of all maximum values is found to occur at Tolman temperature $T=1.27m{c}^2$ with radius $R=15.2km$.

arXiv comment8 pages, 8 figures, minor changes to match published version

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• Relativistic Gravothermal Instabilities
• Thermodynamics of Hot Neutron Stars and Universal Relations
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