Extreme Black Holes: Anabasis and Accidental Symmetry

Abstract: The near-horizon region of black holes near extremality is universally AdS2-like. In this talk I will first explain the SL(2) transformation properties of the spherically symmetric linear perturbations of AdS2 x S2 and show how their backreaction leads to the Reissner-Nordstrom black hole. This backreaction with boundary condition change is called an anabasis. I will then show that the linear Einstein equation near AdS2 x S2, with or without additional matter, enjoys an accidental symmetry that may be thought of as an on-shell large diffeomorphism of AdS2. These symmetries are able to map different physical solutions onto each other by acting as a linearized diffeomorphisms on perturbative solutions around AdS2.

general relativity and quantum cosmologyHEP - experimentHEP - latticeHEP - phenomenologyHEP - theory

Audience: researchers in the topic

NKUA HEP Seminars

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