Hawking radiation by Kerr black holes and conformal symmetry

Details Hawking radiation by Kerr black holes and conformal symmetry Hawking radiation by Kerr black holes and conformal symmetry

2010-06-23

arxiv.org/abs/1006.4404v2

Phys.Rev.Lett.105:211305,2010

Physics

High Energy Physics

High Energy Physics - Theory

Version published in Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.105.211305

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.

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