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      Gravity Waves from Kerr/CFT

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          Abstract

          Dynamics at large redshift near the horizon of an extreme Kerr black hole are governed by an infinite-dimensional conformal symmetry. This symmetry may be exploited to analytically, rather than numerically, compute a variety of potentially observable processes. In this paper we compute and study the conformal transformation properties of the gravitational radiation emitted by an orbiting mass in the large-redshift near-horizon region.

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          Rotating Black Holes: Separable Wave Equations for Gravitational and Electromagnetic Perturbations

          Saul A. Teukolsky (1972)
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            The Extreme Kerr Throat Geometry: A Vacuum Analog of AdS_2 x S^2

            , (2009)
            We study the near horizon limit of a four dimensional extreme rotating black hole. The limiting metric is a completely nonsingular vacuum solution, with an enhanced symmetry group SL(2,R) x U(1). We show that many of the properties of this solution are similar to the AdS_2 x S^2 geometry arising in the near horizon limit of extreme charged black holes. In particular, the boundary at infinity is a timelike surface. This suggests the possibility of a dual quantum mechanical description. A five dimensional generalization is also discussed.
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              The Kerr/CFT Correspondence

              , , … (2013)
              Quantum gravity in the region very near the horizon of an extreme Kerr black hole (whose angular momentum and mass are related by J=GM^2) is considered. It is shown that consistent boundary conditions exist, for which the asymptotic symmetry generators form one copy of the Virasoro algebra with central charge c_L=12J / \hbar. This implies that the near-horizon quantum states can be identified with those of (a chiral half of) a two-dimensional conformal field theory (CFT). Moreover, in the extreme limit, the Frolov-Thorne vacuum state reduces to a thermal density matrix with dimensionless temperature T_L=1/2\pi and conjugate energy given by the zero mode generator, L_0, of the Virasoro algebra. Assuming unitarity, the Cardy formula then gives a microscopic entropy S_{micro}=2\pi J / \hbar for the CFT, which reproduces the macroscopic Bekenstein-Hawking entropy S_{macro}=Area / 4\hbar G. The results apply to any consistent unitary quantum theory of gravity with a Kerr solution. We accordingly conjecture that extreme Kerr black holes are holographically dual to a chiral two-dimensional conformal field theory with central charge c_L=12J / \hbar, and in particular that the near-extreme black hole GRS 1915+105 is approximately dual to a CFT with c_L \sim 2 \times 10^{79}.
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                Author and article information

                Journal
                Publication date Created: 2014-01-15
                Publication date Updated: 2015-05-30
                Article
                DOI: 10.1103/PhysRevD.90.044038
                ArXiV ID: 1401.3746
                SO-VID: d36dd97a-e2ff-40da-bb46-d988feebf08a
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                http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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                Journal reference Phys. Rev. D 90, 044038 (2014)
                Comments 23 pages, v2: reference added, minor changes, matches published version, v3: typos corrected
                Categories hep-th astro-ph.HE gr-qc

                ScienceOpen disciplines: General relativity & Quantum cosmology,High energy & Particle physics,High energy astrophysical phenomena
                Data availability:
                ScienceOpen disciplines: General relativity & Quantum cosmology, High energy & Particle physics, High energy astrophysical phenomena

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