Boundary conditions in first order gravity: Hamiltonian and Ensemble

Abstract

In this work two different boundary conditions for first order gravity, corresponding to a null and a negative cosmological constant respectively, are studied. Both boundary conditions allows to obtain the standard black hole thermodynamics. Furthermore both boundary conditions define a canonical ensemble. Additionally the quasilocal energy definition is obtained for the null cosmological constant case.

To be published in Phys, Rev. D

References in corpus (4)

• Lecture Notes on Holographic Renormalization
• Boundary charges in gauge theories: using Stokes theorem in the bulk
• Path integral measure for first order and metric gravities
• The horizon and its charges in the first order gravity

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• Gravity Asymptotics with Topological Parameters
• Immirzi parameter and Noether charges in first order gravity
• Physics-to-gauge conversion at black hole horizons
• Deformed BF theory as a theory of gravity and supergravity
• An alternative study about the geometry and the first law of thermodynamics for AdS Lovelock gravity, using the definition of conserved charges
• The entropy of Taub-Bolt-AdS from an improved action principle