More on Massive 3D Gravity

By Eric Bergshoeff, O. Hohm, P. Townsend. 2009

322 citations recorded by the source corpus.

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 [(A)dS] vacuum, including extremal black holes that interpolate between this vacuum and (A)dS{sub 2}xS{sup 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 conformal field theories (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.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/6ef0eb2d6b6411201a6c611154ca20b9313f4400

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

1. Aninda Sinha
2. Claudia de Rham
3. Eric Bergshoeff
4. O. Hohm
5. P. Townsend
6. D. Lust
7. G. Giribet
8. M. Hassaine

In Nuclear and High Energy Physics

1. Aninda Sinha
2. O. Hohm
3. D. Lust
4. Claudia de Rham
5. Eric Bergshoeff
6. P. Townsend
7. G. Giribet
8. M. Hassaine

In Statistical and Nonlinear Physics

1. Aninda Sinha
2. O. Hohm
3. Claudia de Rham
4. Eric Bergshoeff
5. D. Lust
6. P. Townsend
7. G. Giribet
8. M. Hassaine

Citations in the corpus

• Minimal massive 3D gravity (2014, methodology): “[6], where the conventions used are the same as those used here.”
• Massive 3D supergravity (2009, background): “Apart from this one special vacuum, there is no obvious way to compare results with those found in [10] for the purely bosonic theory (without the S field).”
• Massive Gravity (2014, background): “Applying this argument for new massive gravity we obtain [67]”
• On the new massive gravity and AdS/CFT (2010, methodology): “If f∞ 6= 1, for the massive modes, to be compatible8 with the analysis for unitarity in the NMG in [6], c ≤ 0 should be chosen.”
• Lifshitz black hole in three dimensions (2009, background): “Also for y = −1/2, the theory admits interesting black hole solutions [20, 21] that generalize the static BTZ black hole [22, 23].”
• Aspects of quadratic gravity (2015, background): “The absence of propagating spin 2 modes around flat backgrounds was also encountered in studies of three-dimensional massive gravity [22, 23].”