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arXiv · 1810.08780

Charged black holes in higher-dimensional Eddington-inspired Born-Infeld gravity

Byon N. Jayawiguna·Handhika S. Ramadhan
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Abstract

We study static (electrically)-charged solutions of Eddington-inspired Born-Infeld (EiBI) theory of gravity in general $D$-dimensional spacetime. We consider both linear (Maxwell) as well as nonlinear electrodynamics for the matter fields. In this particular work, the nonlinear theory we specifically consider is the Born-Infeld electrodynamics. The solutions describe higher-dimensional black holes in EiBI gravity. For the linear Maxwell field, we show that the electric field is still singular for $D>4$. This singularity is cured when EiBI is coupled to the BI electrodynamics. We obtain EiBI-BI black hole solutions in the limit of ${\tildeα}\equiv4κb^2/λ=1$ and $2$. We also investigate their thermodynamical property. It is found that $κ$ imposes a charge screening that makes the corresponding Hawking temperature experiences some sudden jump from charged-type to the Schwarzschild-type at some critical value of $κ$. Thermodynamical stability reveals that the EiBI-BI black holes can exist with smaller horizon than the RN.

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Byon N. Jayawiguna, Handhika S. Ramadhan. 2019-04-05. Charged black holes in higher-dimensional Eddington-inspired Born-Infeld gravity. https://doi.org/10.1016/j.nuclphysb.2019.114615

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