Null Surface Thermodynamics in Topologically Massive Gravity

Abstract

We study three dimensional topologically massive gravity (TMG) in presence of a generic codimension one null boundary. The existence of the boundary is accounted for by enlarging the Hilbert space of the theory by degrees of freedom which only reside at the boundary, the boundary degrees of freedom. The solution phase space of this theory in addition to bulk massive chiral gravitons of the TMG, involves boundary modes which are labeled by surface charges associated with large diffeomorphisms. We show boundary degrees of freedom obey a local thermodynamic description over the solution phase space, null surface thermodynamics, described by a local version of the first law, a local Gibbs-Duhem equation, and local zeroth law. Due to the expansion of the boundary and also the passage of the bulk mode through the boundary, our null surface thermodynamics describes an open boundary system that is generically out of thermal equilibrium.

26 pages

References in corpus (12)

• Quantum Gravity at a Lifshitz Point
• Warped AdS_3 Black Holes
• Black hole mass and angular momentum in topologically massive gravity
• Black Hole Entropy in the presence of Chern-Simons Terms
• Boundary conditions for spacelike and timelike warped AdS_3 spaces in topologically massive gravity
• The Weyl BMS group and Einstein's equations
• Null boundary phase space: slicings, news and memory
• Symmetries at Null Boundaries: Two and Three Dimensional Gravity Cases
• Anomalies in gravitational charge algebras of null boundaries and black hole entropy
• Asymptotically AdS_3 Solutions to Topologically Massive Gravity at Special Values of the Coupling Constants
• Phase Transitions in Warped AdS${}_3$ Gravity
• All stationary axi-symmetric local solutions of topologically massive gravity

Cited by in corpus (2)

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