Dynamical and thermodynamical stability of a charged thin-shell wormhole

Ernesto F. Eiroa; Griselda Figueroa-Aguirre; Miguel L. Peñafiel; Santiago Esteban Perez Bergliaffa

doi:10.1140/epjc/s10052-024-13465-3

2024 Impact factor 4.8

Particles and Fields

Open Access

Eur. Phys. J. C (2024) 84: 1160
https://doi.org/10.1140/epjc/s10052-024-13465-3

Regular Article

Dynamical and thermodynamical stability of a charged thin-shell wormhole

Ernesto F. Eiroa¹, Griselda Figueroa-Aguirre¹, Miguel L. Peñafiel²^,3 and Santiago Esteban Perez Bergliaffa²^a

¹ Instituto de Astronomía y Física del Espacio (IAFE, CONICET-UBA), Ciudad Universitaria, 1428, Buenos Aires, Argentina
² UERJ-Universidade do Estado do Rio de Janeiro 150, CEP 20550-013, Rio de Janeiro, RJ, Brazil
³ FIA-Facultad de Ingeniería y Arquitectura, Universidad Privada Boliviana, Camino Achocalla Km 3.5, La Paz, Bolivia

^a santiagobergliaffa@uerj.br

Received: 1 September 2024
Accepted: 6 October 2024
Published online: 18 November 2024

Abstract

A study of the dynamical and thermodynamical stability of a charged thin-shell wormhole built by gluing two Reissner–Nordström geometries is presented. The charge on the shell is linearly related to the matter content. For the dynamical stability, a concise inequality is obtained, valid for any barotropic equation of state that relates the pressure with the energy density at the throat. A thermodynamical description of the system is introduced, which leads to the temperature and the electric potentials. Adopting a linear equation of state for the pressure and a definite form for the entropy function, the set of equilibrium configurations that are both dynamically and thermodynamically stable is found.

© The Author(s) 2024

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