Minimal geometric deformation in a Reissner–Nordström background

Ángel Rincón; Luciano Gabbanelli; Ernesto Contreras; Francisco Tello-Ortiz

doi:10.1140/epjc/s10052-019-7397-9

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2024 Impact factor 4.8

Particles and Fields

Open Access

Eur. Phys. J. C (2019) 79: 873
https://doi.org/10.1140/epjc/s10052-019-7397-9

Regular Article - Theoretical Physics

Minimal geometric deformation in a Reissner–Nordström background

Ángel Rincón¹^*, Luciano Gabbanelli², Ernesto Contreras³ and Francisco Tello-Ortiz⁴

¹ Instituto de Física, Pontificia Universidad Católica de Valparaíso, Avenida Brasil 2950, Casilla 4059, Valparaiso, Chile
² Deptartament de Física Quàntica i Astrofísica, Institut de Ciències del Cosmos (ICCUB), Universitat de Barcelona, Martí i Franquès 1, 08028, Barcelona, Spain
³ School of Physical Sciences and Nanotechnology, Yachay Tech University, 100119, Urcuquí, Ecuador
⁴ Departamento de Física, Facultad de ciencias básicas, Universidad de Antofagasta, Casilla 170, Antofagasta, Chile

^* e-mail: angel.rincon@pucv.cl

Received: 18 September 2019
Accepted: 12 October 2019
Published online: 23 October 2019

Abstract

This article is devoted to the study of new exact analytical solutions in the background of Reissner–Nordström space-time by using gravitational decoupling via minimal geometric deformation approach. To do so, we impose the most general equation of state, relating the components of the $\theta$ -sector in order to obtain the new material contributions and the decoupler function f(r). Besides, we obtain the bounds on the free parameters of the extended solution to avoid new singularities. Furthermore, we show the finitude of all thermodynamic parameters of the solution such as the effective density ${\tilde{\rho }}$ , radial ${\tilde{p}}_{r}$ and tangential ${\tilde{p}}_{t}$ pressure for different values of parameter $\alpha$ and the total electric charge Q. Finally, the behavior of some scalar invariants, namely the Ricci R and Kretshmann $R_{\mu \nu \omega \epsilon }R^{\mu \nu \omega \epsilon }$ scalars are analyzed. It is also remarkable that, after an appropriate limit, the deformed Schwarzschild black hole solution always can be recovered.