Hawking radiation by Kerr black holes and conformal symmetry

Abstract

The exponential blueshift associated with the event horizon of a black hole makes conformal symmetry play a fundamental role in accounting for its thermal properties. Using a derivation based on two-point functions, we show that the spectrum of thermal radiation of scalar particles by Kerr (and Schwarzschild) black holes can be explicitly derived on the basis of a $2$-dimensional conformal symmetry arising in the wave equation near the horizon. This result reinforces the recently conjectured relation between Kerr geometry and a $2$-dimensional conformal field theory.

arXiv commentVersion published in Phys. Rev. Lett

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• Analogue gravity by an optical vortex. Resonance enhancement of Hawking radiation
• On the duality of Schwarzschild-de Sitter spacetime and moving mirror
• Non-equilibrium Landauer Transport Model for Hawking radiation from a Black Hole
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• Near horizon approximation and beyond for a two-level atom falling into a Kerr-Newman black hole
• Consistent derivation of the Hawking effect for both non-extremal and extremal Kerr black holes
• Coherent States of Accelerated Relativistic Quantum Particles, Vacuum Radiation and the Spontaneous Breakdown of the Conformal SU(2,2) Symmetry
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• Quantum aspects of spacetime: A quantum optics view of acceleration radiation and black holes
• Robustness of entanglement in Hawking radiation for optical systems immersed in thermal baths
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