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The attractor mechanism in five dimensions
"... We give a pedagogical introduction to the attractor mechanism. We begin by developing the formalism for the simplest example of spherically symmetric black holes in five dimensions which preserve supersymmetry. We then discuss the refinements needed when spherical symmetry is relaxed. This is motiva ..."
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We give a pedagogical introduction to the attractor mechanism. We begin by developing the formalism for the simplest example of spherically symmetric black holes in five dimensions which preserve supersymmetry. We then discuss the refinements needed when spherical symmetry is relaxed
On Attractor Mechanism and Entropy Function for
, 2007
"... We examine in details the entropy function formalism for nonextremal D3, M2, and M5branes that their throat approximation is given by Schwarzschild black hole in AdSp+2 ×S D−(p+2). We show that even though there is no attractor mechanism in the nonextremal black holes/branes, the entropy function ..."
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We examine in details the entropy function formalism for nonextremal D3, M2, and M5branes that their throat approximation is given by Schwarzschild black hole in AdSp+2 ×S D−(p+2). We show that even though there is no attractor mechanism in the nonextremal black holes/branes, the entropy
The Attractor mechanism in GaussBonnet gravity
"... We study extremal black hole solutions of D = 5 GaussBonnet gravity coupled to a system of gauge and scalar fields. As in Einstein gravity, we find that the values of the scalar fields on the horizon must extremize a certain effective potential that depends on the black hole charges. If the matrix ..."
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Cited by 13 (0 self)
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of second derivatives of the effective potential at this extremum has positive eigenvalues, we give evidence, based on a near horizon perturbative expansion, that the attractor mechanism continues to hold in this general class of theories. We numerically construct solutions to a particular simple single
hepth/yymmnnn On Attractor Mechanism and Entropy Function for
, 2007
"... We examine in details the entropy function formalism for nonextremal D3, M2, and M5branes that their throat approximation is given by Schwarzschild black hole in AdSp+2 ×S D−(p+2). We show that even though there is no attractor mechanism in the nonextremal black holes/branes, the entropy function ..."
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We examine in details the entropy function formalism for nonextremal D3, M2, and M5branes that their throat approximation is given by Schwarzschild black hole in AdSp+2 ×S D−(p+2). We show that even though there is no attractor mechanism in the nonextremal black holes/branes, the entropy
Stationary black holes and attractor mechanism, Nucl. Phys. B794
, 2008
"... We investigate the symmetries of the near horizon geometry of extremal stationary black hole in four dimensional Einstein gravity coupled to abelian gauge fields and neutral scalars. Careful consideration of the equations of motion and the boundary conditions at the horizon imply that the near horiz ..."
A Note on Exact Solutions and Attractor Mechanism
, 712
"... We obtain two extremal, spherically symmetric, nonBPS black hole solutions to 4D supergravity, one of which carries D2D6 charges and the other carries D0D2D4 charges. For the D2D6 case, rather than solving the equations of motion directly, we assume the form of the solution and then find that t ..."
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We obtain two extremal, spherically symmetric, nonBPS black hole solutions to 4D supergravity, one of which carries D2D6 charges and the other carries D0D2D4 charges. For the D2D6 case, rather than solving the equations of motion directly, we assume the form of the solution and then find that the assumption satisfies the equations of motion and the constraint. Our D2D6 solution is manifestly dual to the solution presented in 0710.4967. The D0D2D4 solution is obtained by performing certain [SL(2,Z)] 3 duality transformations on the D0D4 solution in 0710.4967. Contents
KIASP07013 Stationary black holes and attractor mechanism
, 706
"... We investigate the symmetries of the near horizon geometry of extremal stationary black hole in four dimensional Einstein gravity coupled to abelian gauge fields and neutral scalars. Careful consideration of the equations of motion and the boundary conditions at the horizon imply that the near horiz ..."
On the entropy function and the attractor mechanism for spherically symmetric extremal black holes”, Phys
 Rev. D
, 2007
"... In this paper we elaborate on the relation between the entropy formula of Wald and the “entropy function ” method proposed by A. Sen. For spherically symmetric extremal black holes, it is shown that the expression of extremal black hole entropy given by A. Sen can be derived from the general entropy ..."
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Cited by 7 (0 self)
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charge form can be defined in an “offshell ” form, we define a corresponding entropy function, with which one can discuss the attractor mechanism for extremal black holes with scalar fields.
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