Radiation and Potential Barriers of a 5D Black String Solution
arXiv:gr-qc/0611137 · doi:10.1142/S0217732306022341
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.
9 pages, 3 figures, accepted for publication on MPLA
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Cited by in corpus (6)
- Quasi-Normal Modes of Massless Scalar Field around the 5D Ricci-flat Black String
- Statefinder Parameters for Five-Dimensional Cosmology
- The Real Solution to Scalar Field Equation in 5D Black String Space
- Primordial SdS universe from a 5D vacuum: scalar field fluctuations on Schwarzschild and Hubble horizons
- Real Scalar Field Scattering with Polynomial Approximation around Schwarzschild-de Sitter Black-hole
- Scattering of scalar perturbations with cosmological constant in low-energy and high-energy regimes