On the equilibrium of self-gravitating neutrons, protons and electrons in β-equilibrium

2011/07/14 by Michael F. Rotondo, Michael Rotondo, J. A. Rueda +8
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Nuclear Theory (nucl-th) #Solar and Stellar Astrophysics (astro-ph.SR) #Statistical Mechanics and Entropy #astro-ph.SR #gr-qc #nucl-th

paper · pdf · doi:10.48550/arxiv.1107.2777

Version submitted to Physical Review D

arxiv created 2011/07/14 · openalex publication_date 2011/07/14 · arxiv updated 2011/07/15 · openalex created_date 2024/04/11 · openalex updated_date 2026/07/28

Abstract

We have recently proved the impossibility of imposing the condition of local charge neutrality in a self-gravitating system of degenerate neutrons, protons and electrons in β-equilibrium. The coupled system of the general relativistic Thomas-Fermi equations and the Einstein-Maxwell equations have been shown to supersede the traditional Tolman-Oppenheimer-Volkoff equations. Here we present the Newtonian limit of the new equilibrium equations. We also extend the treatment to the case of finite temperatures and finally we give the explicit demonstration of the constancy of the Klein potentials in the case of finite temperatures generalizing the condition of constancy of the general relativistic Fermi energies in the case of zero temperatures.

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