Dynamics of diffeomorphism degrees of freedom at a horizon

Hyeyoun Chung
Phys. Rev. D 83, 084017 – Published 12 April 2011

Abstract

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 neighborhood of the horizon. The action is similar to that of the Liouville theory, and the equation of motion of the gravitational degrees of freedom approaches that of a free two-dimensional conformal field in the near-horizon region.

  • Received 3 November 2010

DOI:https://doi.org/10.1103/PhysRevD.83.084017

© 2011 American Physical Society

Authors & Affiliations

Hyeyoun Chung*

  • Jefferson Physical Laboratory,Harvard University, 17 Oxford Street, Cambridge, Massachusetts 02138, USA

  • *hyeyoun@physics.harvard.edu.

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Issue

Vol. 83, Iss. 8 — 15 April 2011

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