New attractor mechanism for spherically symmetric extremal black holes

Abstract

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 (2D) dilaton gravity with the dilaton potential $V(\varphi )$. The condition of an attractor is given by ${\nabla }^2\varphi =V({\varphi }_0)$ and ${\bar{R}}_2=-V^{\prime }({\varphi }_0)$ and for a constant dilaton $\varphi ={\varphi }_0$, these are also used to find the location of the degenerate horizon $r=r_e$ 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.

20 pages, 4 figures, Accepted for publication in Physical Review D. This version includes revisions suggested by the referee

References in corpus (16)

• Near-horizon symmetries of extremal black holes
• Noncommutative geometry inspired charged black holes
• Spacetime Structure of an Evaporating Black Hole in Quantum Gravity
• Regular black holes in quadratic gravity
• Noncommutative Inspired Black Holes in Extra Dimensions
• BTZ Black Hole with Chern-Simons and Higher Derivative Terms
• Stationary black holes and attractor mechanism
• Non-Supersymmetric Attractors and Entropy Function
• Quantum Cooling Evaporation Process in Regular Black Holes
• Non-Supersymmetric Attractors in $R^2$ Gravities
• Exactly Soluble BPS Black Holes in Higher Curvature N=2 Supergravity
• Entropy of an extremal regular black hole
• Entropy Function for 4-Charge Extremal Black Holes in Type IIA Superstring Theory
• On Entropy Function for Supersymmetric Black Rings
• On the Entropy Function and the Attractor Mechanism for Spherically Symmetric Extremal Black Holes
• New type scalar fields for cosmic acceleration

Cited by in corpus (17)

• Regular black holes with a nonlinear electrodynamics source
• Thermodynamics of regular black hole
• Erice Lectures on Black Holes and Attractors
• d=4 Attractors, Effective Horizon Radius and Fake Supergravity
• d=4 Black Hole Attractors in N=2 Supergravity with Fayet-Iliopoulos Terms
• Extremal Black Hole and Flux Vacua Attractors
• Non-BPS Attractors in 5d and 6d Extended Supergravity
• Thermodynamics of Einstein-Born-Infeld black holes in three dimensions
• Attractors in Black
• Ruppeiner geometry and 2D dilaton gravity in the thermodynamics of black holes
• Shadows, rings and optical appearance of a magnetically charged regular black hole illuminated by various accretion disks
• Separation of Attractors in 1-modulus Quantum Corrected Special Geometry
• Thermodynamic duality between RN black hole and 2D dilaton gravity
• The Entropy Function for the Black Holes of Nariai Class
• Quasinormal frequencies using the hidden conformal symmetry of the Schwarzschild black hole
• Intersecting Black Attractors in 8D N=1 Supergravity
• A note on non-linear electrodynamics, regular black holes and the entropy function