New attractor mechanism for spherically symmetric extremal black holes

Journal Article · Thu Nov 15 04:00:00 EST 2007 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.76.104045· OSTI ID:21027871

Myung, Yun Soo; Kim, Yong-Wan ^[1]; Park, Young-Jai ^[2]

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1. Institute of Mathematical Science and School of Computer Aided Science, Inje University, Gimhae 621-749 (Korea, Republic of)
2. Department of Physics and Center for Quantum Spacetime, Sogang University, Seoul 121-742 (Korea, Republic of)

We introduce a new attractor mechanism to find the entropy for spherically symmetric extremal black holes. The key ingredient is to find a two-dimensional dilaton gravity with the dilaton potential V({phi}). The condition of an attractor is given by {nabla}{sup 2}{phi}=V({phi}{sub 0}) and R{sub 2}=-V{sup '}({phi}{sub 0}), and for a constant dilaton {phi}={phi}{sub 0}, these are also used to find the location of the degenerate horizon r=r{sub e} of an extremal black hole. As a nontrivial example, we consider an extremal regular black hole obtained from the coupled system of Einstein gravity and nonlinear electrodynamics. The desired Bekenstein-Hawking entropy is successfully recovered from the generalized entropy formula combined with the 2D dilaton gravity, while the entropy function approach does not work for obtaining this entropy.

• OSTI ID: 21027871
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 10 Vol. 76; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ATTRACTORS
BLACK HOLES
COSMOLOGY
ELECTRODYNAMICS
ENTROPY
GRAVITATION
NONLINEAR PROBLEMS
POTENTIALS
TWO-DIMENSIONAL CALCULATIONS