Minimal Geometric Deformation in a Reissner-Nordström background

2019/09/02 by Rincon, Angel, Gabbanelli, Luciano, Contreras, Ernesto +1 · 2 citations
#FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc)

paper · doi:10.48550/arxiv.1909.00500

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 θ-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 ρ, radial p_r and tangential p_t pressure for different values of parameter α and the total electric charge Q. Finally, the behavior of some scalar invariants, namely the Ricci R and Kretshmann R_μνωεR^μνωε scalars are analyzed. It is also remarkable that, after an appropriate limit, the deformed Schwarzschild black hole solution always can be recovered.

Cited by

• Gravitational decoupling and regular hairy black holes: Geodesic stability, quasinormal modes, and thermodynamic properties
• Energy transfer between the sources in gravitational decoupling

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