Hawking radiation inside a rotating black hole

Abstract

In semiclassical gravity, the vacuum expectation value $⟨\hat{N}⟩$ of the particle number operator for a quantum field gives rise to the perception of thermal radiation in the vicinity of a black hole. This Hawking effect has been examined only for observers asymptotically far from a Kerr black hole; here we generalize the analysis to various classes of freely falling observers both outside and inside the Kerr event horizon. Of note, we find that the effective temperature of the $⟨\hat{N}⟩$ distribution remains regular for observers at the event horizon but becomes negative and divergent for observers reaching the inner Cauchy horizon. Furthermore, the perception of Hawking radiation varies greatly for different classes of observers, though the spectrum is generally a graybody that decreases in intensity with black hole spin and increases in temperature when looking toward the edges of the black hole shadow.

arXiv comment29 pages, 12 figures, 2 appendices

References in corpus (20)

• Analytic black hole perturbation approach to gravitational radiation
• Perturbative Approach to an orbital evolution around a Supermassive black hole
• Eigenvalues and eigenfunctions of spin-weighted spheroidal harmonics in four and higher dimensions
• Analytic Solutions of the Teukolsky Equation and their Low Frequency Expansions
• Minimal conditions for the existence of a Hawking-like flux
• Analytic Solutions of the Teukolsky Equation and their Properties
• Hawking-like radiation from evolving black holes and compact horizonless objects
• The physics of the relativistic counter-streaming instability that drives mass inflation inside black holes
• Hawking radiation as seen by an infalling observer
• Hawking radiation as perceived by different observers
• Two-point function of a quantum scalar field in the interior region of a Reissner-Nordstrom black hole
• Black hole inner horizon evaporation in semiclassical gravity
• Semiclassical instability of inner-extremal regular black holes
• Hawking radiation inside a charged black hole
• Avoidance of singularities in spherically symmetric charged dust
• Two-point function of a quantum scalar field in the interior region of a Kerr black hole
• Geometry near the inner horizon of a rotating, accreting black hole
• Hawking radiation inside a Schwarzschild black hole
• Hawking-like radiation and the density matrix for an infalling observer during gravitational collapse
• Wave equations in conformally separable, accreting, rotating black holes

Cited by in corpus (8)

• Violations of the null convergence condition in kinematical transitions between singular and regular black holes, horizonless compact objects, and bounces
• Backreaction from quantum fluxes at the Kerr inner horizon
• Visions in Quantum Gravity
• Fully extremal black holes: a black hole graveyard?
• Axisymmetric black hole in a non-commutative gauge theory: classical and quantum gravity effects
• Hawking radiation inside a charged, cosmological black hole
• Black hole singularity is a surface not a point
• Dynamical Casimir effect in the worldline formulation