Matter ouside a Static Higher-dimensional Black Hole

TL;DR

This paper proves that perfect fluid matter cannot exist outside a static higher-dimensional black hole under certain conditions, highlighting constraints on matter configurations in such spacetimes.

Contribution

It provides a proof of nonexistence of perfect fluid matter outside static higher-dimensional black holes under a specific auxiliary condition.

Findings

Perfect fluid matter cannot exist outside the black hole under the given condition.

The auxiliary condition relates stellar mass and black hole mass.

The result constrains matter configurations in higher-dimensional black hole spacetimes.

Abstract

We considered matter fields composed of a perfect fluid in the static higher-dimensional spherically symmetric asymptotically flat black hole spacetime. The proof of the nonexistence of perfect fluid matter in such a background was provided under the auxiliary condition, which can be interpreted as a relation connecting the stellar mass and the black hole mass in question.