Regular Article - Theoretical Physics
Thermodynamical and dynamical stability of a self-gravitating charged thin shell
Centro Internacional de Ciencias, Apartado postal 6-101, C.P.62132, Cuernavaca, Morelos, Mexico
2 Instituto de Ciencias Físicas, University of Mexico (UNAM), C.P.62132, Cuernavaca, Morelos, Mexico
3 Departamento de Física Teórica, Instituto de Física, Universidade do Estado do Rio de Janeiro, Rua São Francisco Xavier 524, Maracanã, CEP 20550-900, Rio de Janeiro, Brazil
4 Departamento de Ciencias Computacionales, CUCEI, Universidad de Guadalajara, Av. Revolución 1500, 44430, Guadalajara, Jalisco, México
Accepted: 5 February 2022
Published online: 17 February 2022
A study of the thermodynamical and dynamical stability of self-gravitating charged shells is presented. The matter on the shell is described by a barotropic equation of state, and the charge is assumed to be proportional to the mass. For a given form of the entropy of the matter on the shell, it is shown that strong restrictions on the states of the shell follow from the imposition of both types of stability plus the condition that the speed of sound is less than one, in some cases leading to the absence of stable states.
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