Charged Black Hole Solutions in Einstein-Born-Infeld gravity with a Cosmological constant

TL;DR

This paper constructs and analyzes charged black hole solutions in Einstein-Born-Infeld gravity with a cosmological constant, revealing unique horizon structures and causal properties distinct from Einstein-Maxwell solutions.

Contribution

It introduces new charged black hole solutions in Einstein-Born-Infeld gravity with a cosmological constant, highlighting their unique horizon structures and causal differences.

Findings

Charged de-Sitter black holes can have up to three horizons.

Charged anti-de Sitter black holes can have one or two horizons.

Solutions involve elliptic functions and require numerical construction.

Abstract

We construct black hole solutions to Einstein-Born-Infeld gravity with a cosmological constant. Since an elliptic function appears in the solutions for the metric, we construct horizons numerically. The causal structure of these solutions differ drastically from their counterparts in Einstein-Maxwell gravity with a cosmological constant. The charged de-Sitter black holes can have up to three horizons and the charged anti-de Sitter black hole can have one or two depending on the parameters chosen.