Dynamics of Diffeomorphism Degrees of Freedom at a Horizon

Details Dynamics of Diffeomorphism Degrees of Freedom at a Horizon Dynamics of Diffeomorphism Degrees of Freedom at a Horizon

2010-11-02

arxiv.org/abs/1011.0623v3

Phys.Rev.D83:084017,2011

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

12 pages. Final version accepted for publication in Physical Review D

Scientific paper

10.1103/PhysRevD.83.084017

We define a set of boundary conditions that ensure the presence of a null hypersurface with the essential characteristics of a horizon, using the formalism of weakly isolated horizons as a guide. We then determine the diffeomorphisms that preserve these boundary conditions, and derive a dynamical action for these diffeomorphisms in a neighbourhood of the horizon. The action is similar to that of Liouville theory, and the equation of motion of the gravitational degrees of freedom approaches that of a free two-dimensional conformal field theory in the near-horizon region.

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