2009/03/31 by Yan Liu, Ya-Wen Sun · 2 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Boundary (topology) #Boundary value problem #Classical mechanics #Cosmology and Gravitation Theories #Critical point (mathematics) #Gravitation #Graviton #Massive gravity #Mathematical analysis #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Quantum mechanics #Spacetime #hep-th
paper · pdf · doi:10.1088/1126-6708/2009/05/039
published as JHEP 0905:039,2009 · 18pages, no figure, version to appear in JHEP
arxiv created 2009/05/02 · openalex publication_date 2009/05/12 · arxiv updated 2010/12/17 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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 provides further evidence that the theory may be trivial at the critical point under Brown-Henneaux boundary conditions. The log boundary conditions are also examined and we find that we can have three kinds of log boundary conditions for this new massive gravity theory, each of which could be consistent at the critical point, while for other value of the mass parameter, the log gravity boundary condition is not consistent.