Null Surface Thermodynamics in Topologically Massive Gravity
arXiv:2205.10909 · doi:10.1140/epjc/s10052-023-11309-0
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.
arXiv comment26 pages
References in corpus (45)
- Quantum Gravity at a Lifshitz Point
- Black Hole Entropy is Noether Charge
- Some Properties of Noether Charge and a Proposal for Dynamical Black Hole Entropy
- The holographic principle
- A Covariant Entropy Conjecture
- Soft Hair on Black Holes
- BMS charge algebra
- Warped AdS_3 Black Holes
- Supertranslations and Superrotations at the Black Hole Horizon
- Microscopic Black Hole Entropy in Theories with Higher Derivatives
- Holographic Gravitational Anomalies
- Black hole mass and angular momentum in topologically massive gravity
- Superboost transitions, refraction memory and super-Lorentz charge algebra
- The black holes of topologically massive gravity
- Soft Heisenberg hair on black holes in three dimensions
- Extended Symmetries at the Black Hole Horizon
- Black Hole Entropy in the presence of Chern-Simons Terms
- Topologically Massive AdS Gravity
- Spacetime structure near generic horizons and soft hair
- Holography with Gravitational Chern-Simons Term
- Black Hole Entropy and Soft Hair
- Boundary conditions for spacelike and timelike warped AdS_3 spaces in topologically massive gravity
- The Weyl BMS group and Einstein's equations
- Symmetries and charges of general relativity at null boundaries
- Symplectic and Killing Symmetries of AdS Gravity: Holographic vs Boundary Gravitons
- Null boundary phase space: slicings, news and memory
- Soft hairy horizons in three spacetime dimensions
- Inner Mechanics of 3d Black Holes
- Symmetries at Null Boundaries: Two and Three Dimensional Gravity Cases
- Anomalies in gravitational charge algebras of null boundaries and black hole entropy
- Black Hole Horizon Fluffs: Near Horizon Soft Hairs as Microstates of Three Dimensional Black Holes
- Black hole memory effect
- Gravity Degrees of Freedom on a Null Surface
- Null Conservation Laws for Gravity
- Asymptotically AdS_3 Solutions to Topologically Massive Gravity at Special Values of the Coupling Constants
- T-Witts from the horizon
- Gravitational Chern-Simons Lagrangians and black hole entropy
- On Black Hole Temperature in Horndeski Gravity
- Phase Transitions in Warped AdS Gravity
- Horizons 2020
- Residual Diffeomorphisms and Symplectic Softs Hairs: The Need to Refine Strict Statement of Equivalence Principle
- All stationary axi-symmetric local solutions of topologically massive gravity
- Spinor formulation of topologically massive gravity
- Circular Symmetry in Topologically Massive Gravity
- Formation of Black Holes in Topologically Massive Gravity