Thermodynamics of Asymptotically Locally AdS

@inproceedings{Papadimitriou2005ThermodynamicsOA,
  title={Thermodynamics of Asymptotically Locally AdS},
  author={Spacetimes Ioannis Papadimitriou and Kostas Skenderis},
  year={2005}
}
We formulate the variational problem for AdS gravity with Dirichlet boundary conditions and demonstrate that the covariant counterterms are necessary to make the variational problem well-posed. The holographic charges associated with asymptotic symmetries are then rederived via Noether’s theorem and ‘covariant phase space’ techniques. This allows us to prove the first law of black hole mechanics for general asymptotically locally AdS black hole spacetimes. We illustrate our discussion by… CONTINUE READING
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