Black hole in a radially slant warped braneworld scenario

TL;DR

This paper explores how a small slant between two warped 3-branes influences the formation of extremal Reissner-Nordstrom black holes, with the brane intersection point and matter effects affecting the solution.

Contribution

It introduces a radion-induced spherically symmetric solution in a slant warped braneworld scenario, extending previous work to include brane slanting and matter effects.

Findings

Black hole is extremal Reissner-Nordstrom with mass proportional to brane slant.

Inter-brane separation reduces to zero at a specific radial coordinate, indicating brane intersection.

Adding traceless matter prevents brane intersection, maintaining a stable configuration.

Abstract

As a follow-up to our previous paper arxiv: 1309.4244[hep-th], we determine radion induced spherically symmetric solution using the gradient approximation scheme, when two warped $3$-branes are slant with respect to each other such that the radion field in this case is a radial co-ordinate varying function. The slanting between the branes is assumed to be small. In the absence of any on-brane matter except that induced effects of radion field, the resulting black hole is found to be extremal Reissner-Nordstrom whose mass is proportional to the slanting between the $3$-branes. It is however seen that the inter-brane separation diminishes to zero for a particular value of radial co-ordinate which can be mimicked as intersection of the branes. This situation can be circumvented by adding traceless on-brane matter on the negative tension brane.