Black Hole Membrane Paradigm from Boundary Scalar Field

TL;DR

This paper demonstrates that the black hole membrane can be effectively modeled by a boundary scalar field, reproducing its energy-momentum tensor and providing a new perspective on the membrane paradigm.

Contribution

It introduces an action for a scalar field on the horizon that reproduces the membrane's energy-momentum tensor, offering a novel effective description.

Findings

Scalar field action reproduces membrane energy-momentum tensor

Provides a new effective description of the black hole horizon

Connects boundary scalar fields with membrane paradigm

Abstract

Black hole membrane paradigm suggests to consider the black hole horizon as a fluid membrane. The membrane has a particular energy-momentum tensor which characterizes the interactions with the falling matter. In this paper, we show that we can construct an action from the scalar field on the horizon which can give the same energy-momentum tensor for the membrane. That is, the membrane can be described effectively by the scalar field on it.