Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 3, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP03(2013)042
Keywords
Black Holes; Supergravity Models; AdS-CFT Correspondence
Categories
Funding
- National Research Foundation(NRF) of Korea
- Korea government(MEST) through the Center for Quantum Space-time( CQUeST) of Sogang University [2005-0049409]
- Korea government( MEST) [2012046278]
- Basic Science Research Program through the NRF of Korea [2012R1A1A2004410]
- National Research Foundation of Korea [2012R1A1A2004410] Funding Source: Korea Institute of Science & Technology Information (KISTI), National Science & Technology Information Service (NTIS)
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We derive the BPS type of first order differential equations for the rotating black hole solutions in the three-dimensional Einstein gravity coupled minimally with a self-interacting scalar field, using fake supersymmetry formalism. It turns out that the formalism is not complete and should be augmented by an additional equation to imply the full equations of motion. We identify this additional equation as a constraint by using an effective action method. By computing the renormalized boundary stress tensor, we obtain the mass and angular momentum of the black hole solutions of these first order equations and confirm that they saturate the BPS bound.
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