Brane World Gravity in an AdS Black Hole

TL;DR

This paper explores a brane world gravity model within an AdS black hole background, introducing a UV cutoff via a Randall-Sundrum brane, leading to an effective Einstein-Hilbert gravity with small corrections but encountering radion instability.

Contribution

It modifies the strong coupling glueball spectrum solution by adding a Planck brane, resulting in a normalizable zero mass tensor state and an effective gravity theory.

Findings

Discovery of a normalizable zero mass tensor state.

Exponential suppression of corrections due to the glueball spectrum.

Identification of radion mode instability in the microscopic theory.

Abstract

We consider a model of brane world gravity in the context of non-conformal non-SUSY matter. In particular we modify the earlier strong coupling solution to the glueball spectrum in an $AdS^7$ Black Hole by introducing a Randall-Sundrum Planck brane as a UV cut-off. The consequence is a new normalizable zero mass tensor state, which gives rise to an effective Einstein-Hilbert theory of gravity, with exponentially small corrections set by the mass gap to the discrete glueball spectrum. However the simplest microscopic theory for the Planck brane is found to have a tachyonic instability in the radion mode.