The self-consistent general relativistic solution for a system of degenerate neutrons, protons and electrons in beta-equilibrium

Дата и время публикации : 2011-06-24T08:54:15Z

Авторы публикации и институты :
M. Rotondo
Jorge A. Rueda
R. Ruffini
S. -S. Xue

Ссылка на журнал-издание: Physics Letters B, Volume 701, Issue 5, p. 667-671 (2011)
Коментарии к cтатье: Letter in press, Physics Letters B (2011)
Первичная категория: gr-qc

Все категории : gr-qc, astro-ph.SR, nucl-th

Краткий обзор статьи: We present the self-consistent treatment of the simplest, nontrivial, self-gravitating system of degenerate neutrons, protons and electrons in $beta$-equilibrium within relativistic quantum statistics and the Einstein-Maxwell equations. The impossibility of imposing the condition of local charge neutrality on such systems is proved, consequently overcoming the traditional Tolman-Oppenheimer-Volkoff treatment. We emphasize the crucial role of imposing the constancy of the generalized Fermi energies. A new approach based on the coupled system of the general relativistic Thomas-Fermi-Einstein-Maxwell equations is presented and solved. We obtain an explicit solution fulfilling global and not local charge neutrality by solving a sophisticated eigenvalue problem of the general relativistic Thomas-Fermi equation. The value of the Coulomb potential at the center of the configuration is $eV(0)simeq m_pi c^2$ and the system is intrinsically stable against Coulomb repulsion in the proton component. This approach is necessary, but not sufficient, when strong interactions are introduced.

Category: Physics