Abstract
In this paper we present a new set of asymptotic boundary conditions for Einstein gravity in -dimensions with a vanishing cosmological constant that are a generalization of the Barnich-Compère boundary conditions [G. Barnich and G. Compere, Classical Quantum Gravity 24, F15 (2007)]. These new boundary conditions lead to an asymptotic symmetry algebra that is generated by a algebra and two affine current algebras. We then apply these boundary conditions to topologically massive gravity (TMG) and determine how the presence of the gravitational Chern-Simons term affects the central extensions of the asymptotic symmetry algebra. We furthermore determine the thermal entropy of solutions obeying our new boundary conditions for both Einstein gravity and TMG.
- Received 20 December 2016
DOI:https://doi.org/10.1103/PhysRevD.95.046008
© 2017 American Physical Society