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.

Version published in Phys. Rev. Lett

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• Robustness of entanglement in Hawking radiation for optical systems immersed in thermal baths
• Quantum aspects of spacetime: A quantum optics view of acceleration radiation and black holes
• Thermal behavior of a radially deformed black hole spacetime
• Axisymmetric black hole in a non-commutative gauge theory: classical and quantum gravity effects