Quasilocal conserved charges in a covariant theory of gravity.

Phys Rev Lett

Center for Quantum Spacetime (CQUeST), Sogang University, Seoul 121-742, Korea and Department of Physics, Sogang University, Seoul 121-742, Korea and Research Institute for Basic Science, Sogang University, Seoul 121-742, Korea.

Published: August 2013


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Article Abstract

In any generally covariant theory of gravity, we show the relationship between the linearized asymptotically conserved current and its nonlinear completion through the identically conserved current. Our formulation for conserved charges is based on the Lagrangian description, and so completely covariant. By using this result, we give a prescription to define quasilocal conserved charges in any higher derivative gravity. As applications of our approach, we demonstrate the angular momentum invariance along the radial direction of black holes and reproduce more efficiently the linearized potential on the asymptotic anti-de Sitter space.

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http://dx.doi.org/10.1103/PhysRevLett.111.081101DOI Listing

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