Low energy effective action on a self-gravitating D-brane

TL;DR

This paper derives a low energy effective action for a self-gravitating D-brane that reproduces the gravitational equations on the brane, highlighting that matter does not source gravity at leading order, consistent with previous holographic and geometric approaches.

Contribution

It introduces a low energy effective action on a self-gravitating D-brane that aligns with existing holographic and geometric results, emphasizing the non-sourcing of gravity by matter at leading order.

Findings

Effective action reproduces brane gravity equations

Matter does not source gravity at leading order

Consistent with holographic and geometric methods

Abstract

Recently the study of braneworld on the self-gravitating D-brane has been initiated and derived the gravitational equation on the brane by holographic and geometrical projection methods. Surprisingly, in common with these two methods, the matter on the brane cannot be the source of the gravity on the brane at leading order. In this paper we will propose the low energy effective action on the D-brane coupled with gravity which derives the same results.