Free fall temperature of Schwarzschild-Tangherlini-AdS black hole

TL;DR

This paper constructs a higher-dimensional flat embedding of a five-dimensional Schwarzschild-Tangherlini-AdS black hole to evaluate its free fall temperature from the horizon to infinity.

Contribution

It introduces a (6+2)-dimensional flat embedding for this black hole and calculates the free fall temperature using this manifold, providing new insights into black hole thermodynamics.

Findings

Derived the flat embedding structure for the black hole.

Calculated the free fall temperature across the spacetime.

Enhanced understanding of black hole thermodynamics in higher dimensions.

Abstract

Investigating five-dimensional Schwarzschild-Tangherlini-AdS black hole, we construct a (6+2)-dimensional flat embedding structure. Exploiting this flat manifold, we evaluate a free fall temperature of the black hole in manifold ranging from outer event horizon to the infinity.