Extreme charged black holes in braneworld with cosmological constant

TL;DR

This paper explores how a cosmological constant influences extremal black holes localized on a brane within braneworld models, revealing size restrictions and modifications to gravitational constants due to higher-dimensional effects.

Contribution

It investigates the impact of cosmological constants on extremal brane-localized black holes, highlighting differences from four-dimensional general relativity and implications for the Newton constant.

Findings

Positive cosmological constant restricts black hole size on the brane.

Maximum black hole size differs from 4D GR due to non-linear effects.

Negative cosmological constant affects the Newton constant in the Karch-Randall model.

Abstract

Application of the adS/CFT correspondence to the RS models may predict that there is no static solution for black holes with a radius larger than the bulk curvature scale. When the black hole has an extremal horizon, however, the correspondence suggests that the black hole can stay static. We focus on the effects of cosmological constant on the brane on such extremal brane-localized black holes. We observe that the positive cosmological constant restrict the black hole size on the brane as in ordinary four-dimensional general relativity. The maximum black hole size differs from that in four-dimensional general relativity case due to the non-linear term in the effective Einstein equation. In the negative cosmological constant case, we obtain an implication on the Newton constant in the Karch-Randall model.