Universal features of the holographic duality: conformal anomaly and brane gravity trapping from 5d AdS Black Hole

TL;DR

This paper investigates the holographic conformal anomaly and gravity trapping in a 5-dimensional AdS black hole bulk, revealing metric-independent features of the anomaly and confirming gravity localization despite potential differences.

Contribution

It demonstrates that the holographic conformal anomaly is metric-independent and confirms gravity trapping in brane systems within a 5d AdS black hole background.

Findings

Conformal anomaly matches pure AdS case, independent of bulk metric.

Gravity trapping occurs even with different Newton potentials.

Gravity localization is metric-independent.

Abstract

We calculate the holographic conformal anomaly and brane Newton potential when bulk is 5d AdS BH. It is shown that such anomaly is the same as in the case of pure AdS or (asymptotically) dS bulk spaces, i.e. it is (bulk) metric independent one. While Newton potential on the static brane in AdS BH is different from the one in pure AdS space, the gravity trapping still occurs for two branes system. This indicates to metric independence of gravity localization.