Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2009-05-08
Phys.Rev.D79:124042,2009
Physics
High Energy Physics
High Energy Physics - Theory
25 pages, 4 figures; v2: minor improvements and extensions, references added; v3: version to appear in PRD
Scientific paper
10.1103/PhysRevD.79.124042
We explore the space of static solutions of the recently discovered three-dimensional `New Massive Gravity' (NMG), allowing for either sign of the Einstein-Hilbert term and a cosmological term parametrized by a dimensionless constant $\lambda$. For $\lambda=-1$ we find black hole solutions asymptotic (but not isometric) to the unique (anti) de Sitter vacuum, including extremal black holes that interpolate between this vacuum and (a)dS$_2 \times S^1$. We also investigate unitarity of linearized NMG in (a)dS vacua. We find unitary theories for some dS vacua, but (bulk) unitarity in adS implies negative central charge of the dual CFT, except for $\lambda=3$ where the central charge vanishes and the bulk gravitons are replaced by `massive photons'. A similar phenomenon is found in the massless limit of NMG, for which the linearized equations become equivalent to Maxwell's equations.
Bergshoeff Eric A.
Hohm Olaf
Townsend Paul K.
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