Radiation and Potential Barriers of a 5D Black String Solution

TL;DR

This paper investigates how an extra spatial dimension influences black hole radiation, revealing that the fifth dimension affects the radiation spectrum and potential barriers, with implications for detecting higher dimensions.

Contribution

It demonstrates that the structure of the fifth dimension impacts black hole radiation and potential barriers, providing a potential observational probe for higher-dimensional theories.

Findings

The fifth dimension affects the nature of black hole radiation.

Potential barriers have both quantized and continuous spectra.

Hawking radiation could serve as a probe for extra dimensions.

Abstract

By using a massless scalar field we examine the effect of an extra dimension on black hole radiation. Because the equations are coupled, we find that the structure of the fifth dimension (as for membrane and induced-matter theory) affects the nature of the radiation observed in four-dimensional spacetime. In the case of the Schwarzschild-de Sitter solution embedded in a Randall-Sundrum brane model, the extension of the black hole along the fifth dimension looks like a black string. Then it is shown that, on the brane, the potential barrier surrounding the black hole has a quantized as well as a continuous spectrum. In principle, Hawking radiation may thus provide a probe for higher dimensions.