On topological charged braneworld black holes

TL;DR

This paper investigates topological black holes in the Randall-Sundrum II braneworld scenario, focusing on how localized charges influence bulk geometry, thermodynamics, and the properties of the black holes.

Contribution

It introduces a class of charged topological black hole solutions in RSII braneworlds with localized gauge fields, analyzing their geometric and thermodynamic properties.

Findings

Localized charge modifies bulk geometry and Weyl tensor.

Bulk geometry is independent of horizon topology.

Derived temperature, entropy, and mass expressions for the black holes.

Abstract

We study a class of topological black hole solutions in RSII braneworld scenario in the presence of a localized Maxwell field on the brane. Such a black hole can carry two types of charge, one arising from the extra dimension, the tidal charge, and the other one from a localized gauge field confined to the brane. We find that the localized charge on the brane modifies the bulk geometry and in particular the bulk Weyl tensor. The bulk geometry does not depend on different topologies of the horizons. We present the temperature and entropy expressions associated with the event horizon of the braneworld black hole and by using the first law of black hole thermodynamics we calculate the mass of the black hole.