https://doi.org/10.1140/epjc/s10052-018-6122-4
Regular Article - Theoretical Physics
Regular black holes in f(G) gravity
1
Faculdade de Física, Programa de Pós-Graduação em Física, Universidade Federal do Pará, Belém, Pará, 66075-110, Brazil
2
Faculdade de Ciências Exatas e Tecnologia, Universidade Federal do Pará Campus Universitário de Abaetetuba, Abaetetuba, Pará, 68440-000, Brazil
* e-mail: esialg@gmail.com
Received:
13
June
2018
Accepted:
31
July
2018
Published online:
10
August
2018
In this work, we study the possibility of generalizing solutions of regular black holes with an electric charge, constructed in general relativity, for the f(G) theory, where G is the Gauss–Bonnet invariant. This type of solution arises due to the coupling between gravitational theory and nonlinear electrodynamics. We construct the formalism in terms of a mass function and it results in different gravitational and electromagnetic theories for which mass function. The electric field of these solutions are always regular and the strong energy condition is violated in some region inside the event horizon. For some solutions, we get an analytical form for the f(G) function. Imposing the limit of some constant going to zero in the f(G) function we recovered the linear case, making the general relativity a particular case.
© The Author(s), 2018
