Bulk emission by higher-dimensional black holes: almost perfect blackbody radiation

Abstract

We study the Hawking radiation emitted into the bulk by $(D+1)$-dimensional Schwarzschild black holes. It is well-known that the black-hole spectrum departs from exact blackbody form due to the frequency dependence of the `greybody' factors. For intermediate values of $D$ ($3\le D\lesssim 10$), these frequency-dependent factors may significantly modify the spectrum of the emitted radiation. However, we point out that for $D\gg 1$, the typical wavelengths in the black-hole spectrum are much {\it shorter} than the size of the black hole. In this regime, the greybody factors are well described by the geometric-optics approximation according to which they are almost frequency-independent. Following this observation, we argue that for higher-dimensional black holes with $D\gg 1$, the total power emitted into the bulk should be well approximated by the analytical formula for perfect blackbody radiation. We test the validity of this analytical prediction with numerical computations.

5 pages

References in corpus (1)

• Simulations of Cold Electroweak Baryogenesis: Dependence on Higgs mass and strength of CP-violation

Cited by in corpus (20)

• The large D limit of General Relativity
• Large D gravity and low D strings
• Decoupling and non-decoupling dynamics of large D black holes
• Hawking emission from quantum gravity black holes
• The Large D Limit of Einstein's Equations
• Quasinormal frequencies of black hole in the braneworld
• Holographic superconductivity in the large D expansion
• Scalar perturbations and quasi-normal modes of a non-linear magnetic-charged black hole surrounded by quintessence
• Hawking radiation and the Stefan-Boltzmann law: The effective radius of the black-hole quantum atmosphere
• The Hawking cascades of gravitons from higher-dimensional Schwarzschild black holes
• Quantum tunneling from scalar fields in rotating black strings
• Black hole evaporation and semiclassicality at large D
• Interior volume of ($1+D$) dimensional Schwarzschild black hole
• The state of Hawking radiation is non-classical
• Hyperentropic systems and the generalized second law of thermodynamics
• Holographic non-computers
• Natural broadening in the quantum emission spectra of higher-dimensional Schwarzschild black holes
• The Hawking paradox and the Bekenstein resolution in higher-dimensional spacetimes
• Classical and Quantum Thermodynamic Systems in Curved Spacetime
• Small black holes in the large D limit