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arXiv · 1902.04854

Gravitational phase transition of self-gravitating systems of fermions in General Relativity

Giuseppe Alberti·Pierre-Henri Chavanis
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Abstract

The Thomas-Fermi model is extended at finite temperature, to describe the gravitational phase transition occurring in massive fermionic systems in a general-relativistic framework. It is shown that, when a nondegenerate fermionic gas (for $N < N_{OV}$, where $N_{OV}$ is the Oppenheimer-Volkoff limit) is cooled down below a critical temperature, a condensed phase emerges and the gravitational collapse is prevented by quantum mechanics. If $N > N_{OV}$, by contrast, the system is destined to collapse towards a Black Hole because no equilibrium states exist.

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Giuseppe Alberti, Pierre-Henri Chavanis. 2019-02-13. Gravitational phase transition of self-gravitating systems of fermions in General Relativity. https://doi.org/10.1142/9789811258251_0186

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