The stress energy tensor of neutral blackfold and dual theory

TL;DR

This paper analyzes the stress-energy tensor of neutral and charged blackfolds, showing the neutral case is Ricci-flat and supports a dual conformal field theory with a traceless, conserved stress tensor.

Contribution

It demonstrates the Ricci-flatness of neutral blackfolds and constructs the dual boundary stress tensor using AAdS spacetime in Fefferman-Graham coordinates.

Findings

Neutral blackfold spacetime is Ricci-flat.

The boundary stress tensor is traceless and conserved.

A dual conformal field theory exists for the neutral blackfold.

Abstract

In this paper we consider charged and neutral blackfold and extract the Brown-York stress energy tensor. Also, we show that the neutral blackfold spacetime is Ricci- flat and the other spacetime is not. This Ricci-flat condition gives us opportunity to calculate the AAdS spacetime. In order to have dual theory one can consider the AAdS in Fefferman- Graham coordinates. This frame gives correct form of stress tensor in the boundary. The corresponding tensor with using this frame will be traceless and conserved. Such stress tensor is same as perfect fluid and it proves the dual renormalized theory exists for the neutral blackfold .