Massive gravity from Dirichlet boundary conditions

Consistent Boundary Conditions for New Massive Gravity in AdS 3

In this note we study the boundary conditions for the new massive gravity theory in asymptotically AdS3 spacetime. We find that the Brown-Henneaux boundary conditions are consistent with the new massive gravity for all any value of the mass parameter. At the critical point where the central charge vanishes, the conserved charges vanish, too. This confirms that the theory is trivial at the criti...

Absorption semigroups and dirichlet boundary conditions

TECHNISCHE UNIVERSITÄT BERLIN Moving Dirichlet Boundary Conditions

This paper develops a framework to include Dirichlet boundary conditions on a subset of the boundary which depends on time. In this model, the boundary conditions are weakly enforced with the help of a Lagrange multiplier method. In order to avoid that the ansatz space of the Lagrange multiplier depends on time, a bi-Lipschitz transformation, which maps a fixed interval onto the Dirichlet bound...

Boundary conditions for spacelike and timelike warped AdS3 spaces in topologically massive gravity

We propose a set of consistent boundary conditions containing the spacelike warped black holes solutions of Topologically Massive Gravity. We prove that the corresponding asymptotic charges whose algebra consists in a Virasoro algebra and a current algebra are finite, integrable and conserved. A similar analysis is performed for the timelike warped AdS3 spaces which contain a family of regular ...

Dirichlet boundary-value problem for Chern-Simons modified gravity

Daniel Grumiller,* Robert Mann, and Robert McNees Center for Theoretical Physics, Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge, Massachusetts 02139, USA Department of Physics & Astronomy, University of Waterloo, Waterloo, Ontario N2L 3G1, Canada Perimeter Institute, 31 Caroline Street North, Waterloo, Ontario N2L 2Y5, Canada (Received 13 March 2008; published 8 Octo...