Near horizon dynamics of three dimensional black holes
Daniel Grumiller, Wout Merbis
SciPost Phys. 8, 010 (2020) · published 23 January 2020
- doi: 10.21468/SciPostPhys.8.1.010
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Abstract
We perform the Hamiltonian reduction of three dimensional Einstein gravity with negative cosmological constant under constraints imposed by near horizon boundary conditions. The theory reduces to a Floreanini-Jackiw type scalar field theory on the horizon, where the scalar zero modes capture the global black hole charges. The near horizon Hamiltonian is a total derivative term, which explains the softness of all oscillator modes of the scalar field. We find also a (Korteweg-de Vries) hierarchy of modified boundary conditions that we use to lift the degeneracy of the soft hair excitations on the horizon.
Cited by 23
Authors / Affiliations: mappings to Contributors and Organizations
See all Organizations.- 1 Daniel Grumiller,
- 2 3 Wout Merbis
- 1 Technische Universität Wien / Vienna University of Technology [TUW]
- 2 Université Libre de Bruxelles [ULB]
- 3 International Solvay Institutes
Funders for the research work leading to this publication
- Austrian Science Fund (FWF) (through Organization: Fonds zur Förderung der wissenschaftlichen Forschung / FWF Austrian Science Fund [FWF])
- European Research Council [ERC]
- Fonds De La Recherche Scientifique - FNRS (FNRS) (through Organization: Fonds National de la Recherche Scientifique [FNRS])