Black hole solutions coupled to Born-Infeld electrodynamics with derivative corrections

TL;DR

This paper explores black hole solutions in Einstein-Born-Infeld theory with derivative corrections, revealing significant differences from the standard case, such as the absence of particlelike solutions and altered horizon properties.

Contribution

It clarifies the effects of derivative corrections on black hole solutions in Einstein-Born-Infeld theory, highlighting qualitative differences from the non-corrected case.

Findings

No particlelike solutions exist with derivative corrections.

Inner horizons are limited to near-extreme solutions.

Born-Infeld parameter affects mass and temperature oppositely.

Abstract

We investigate black hole solutions in the Einstein-Born-Infeld system. We clarify the role played by derivative corrections to the Born-Infeld (BI) action. The qulitative differences from the case without derivative corrections are: (i) there is no particlelike solution. (ii) the existence of the inner horizon is restricted to the near extreme solutions. (iii) contribution of the BI parameter $b$ to the gravitational mass and the Hawking temperature works in the opposite direction.