Rotating AdS black hole stealth solution in D=3

Abstract

We show that the rotating asymptotically anti de Sitter black hole solution of new massive gravity in three dimensions can support a static stealth configuration given by a conformally coupled scalar field. By static stealth configuration, we mean a nontrivial time independent scalar field whose energy-momentum tensor vanishes identically on the rotating black hole metric solution of new massive gravity. The existence of this configuration is rendered possible because of the presence of a gravitational hair in the black hole metric that prevents the scalar field to be trivial. In the extremal case, the stealth scalar field diverges at the horizon as it occurs for the conformal scalar field of the Bocharova-Bronnikov-Melnikov-Bekenstein solution in four dimensions.

5 pages in 2 columns

References in corpus (5)

• Massive Gravity in Three Dimensions
• Three-dimensional black holes, gravitational solitons, kinks and wormholes for BHT massive gravity
• Warped AdS_3 black holes in new massive gravity
• Gravitational Cheshire effect: Nonminimally coupled scalar fields may not curve spacetime
• Gravitational solitons, hairy black holes and phase transitions in BHT massive gravity

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• Stealths on $(1+1)$-dimensional dilatonic gravity
• To stealth or not to stealth: Thermodynamics of stealth black holes
• Mimicking the LCDM model with Stealths
• Massive stealth scalar fields from field redefinition method
• Stealth's cosmologies
• A new rotating axionic AdS${}_4$ black hole dressed with a scalar field
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• A new approach to the thermodynamics of scalar-tensor gravity