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Radiation and Potential Barriers of a 5D Black String Solution
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.Comment: 9 pages, 3 figures, accepted for publication on MPL
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