Warped $$AdS_3$$ Black Holes

 dc.contributor.author Anninos, Dionysios dc.contributor.author Li, Wei dc.contributor.author Padi, Megha dc.contributor.author Song, Wei dc.contributor.author Strominger, Andrew E. dc.date.accessioned 2012-02-03T23:59:45Z dc.date.issued 2009 dc.identifier.citation Anninos, Dionysios, Wei Li, Megha Padi, Wei Song, and Andrew E. Strominger. 2009. Warped $$AdS_3$$ black holes. Journal of High Energy Physics 2009(3): 130. en_US dc.identifier.issn 1029-8479 en_US dc.identifier.uri http://nrs.harvard.edu/urn-3:HUL.InstRepos:8123167 dc.description.abstract Three dimensional topologically massive gravity (TMG) with a negative cosmological constant $$-\ell^{-2}$$ and positive Newton constant $$G$$ admits an $$AdS_3$$ vacuum solution for any value of the graviton mass $$\mu$$. These are all known to be perturbatively unstable except at the recently explored chiral point $$\mu\ell = 1$$. However we show herein that for every value of $$\mu\ell \not= 3$$ there are two other (potentially stable) vacuum solutions given by $$SL(2,\Re) \times U(1)$$-invariant warped $$AdS_3$$ geometries, with a timelike or spacelike $$U(1)$$ isometry. Critical behavior occurs at $$\mu\ell = 3$$, where the warping transitions from a stretching to a squashing, and there are a pair of warped solutions with a null $$U(1)$$ isometry. For $$\mu\ell > 3$$, there are known warped black hole solutions which are asymptotic to warped $$AdS_3$$. We show that these black holes are discrete quotients of warped $$AdS_3$$ just as BTZ black holes are discrete quotients of ordinary $$AdS_3$$. Moreover new solutions of this type, relevant to any theory with warped $$AdS_3$$ solutions, are exhibited. Finally we note that the black hole thermodynamics is consistent with the hypothesis that, for $$\mu\ell > 3$$, the warped $$AdS_3$$ ground state of TMG is holographically dual to a 2D boundary CFT with central charges $$c_R = \frac{15(\mu\ell)^2 + 81}{G\mu((\mu\ell)^2 + 27)}$$ and $$c_L = \frac{12\mu\ell^2}{G((\mu\ell)^2 + 27)}$$. en_US dc.description.sponsorship Physics en_US dc.language.iso en_US en_US dc.publisher Institute of Physics en_US dc.relation.isversionof doi:10.1088/1126-6708/2009/03/130 en_US dc.relation.hasversion http://arxiv.org/abs/0807.3040 en_US dash.license OAP dc.subject gravitation en_US dc.subject cosmology en_US dc.subject particle physics en_US dc.subject astrophysics en_US dc.subject astroparticles en_US dc.subject high energy physics en_US dc.title Warped $$AdS_3$$ Black Holes en_US dc.type Journal Article en_US dc.description.version Author's Original en_US dc.relation.journal Journal of High Energy Physics en_US dash.depositing.author Strominger, Andrew E. dc.date.available 2012-02-03T23:59:45Z

Files in this item

Files Size Format View
0807.3040v1.pdf 273.8Kb PDF View/Open

This item appears in the following Collection(s)

• FAS Scholarly Articles [7594]
Peer reviewed scholarly articles from the Faculty of Arts and Sciences of Harvard University