The Non-BPS black hole attractor equation
By R. Kallosh, N. Sivanandam, Masoud Soroush. 2006
166 citations recorded by the source corpus.
We study the attractor mechanism for extremal non-BPS black holes with an infinite throat near horizon geometry, developing, as we do so, a physical argument as to why such a mechanism does not exist in non-extremal cases. We present a detailed derivation of the non-supersymmetric attractor equation. This equation defines the stabilization of moduli near the black hole horizon: the fixed moduli take values specified by electric and magnetic charges corresponding to the fluxes in a Calabi Yau compactification of string theory. They also define the so-called double-extremal solutions. In some examples, studied previously by Tripathy and Trivedi, we solve the equation and show that the moduli are fixed at values which may also be derived from the critical points of the black hole potential.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/82551528acea4c694c11add1d5d516503521dd24
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Citations in the corpus
- Flow equations for non-BPS extremal black holes (2007, background): “Both these classes will be described by the non-BPS attractor equations of [29], though, and it would be desirable to reach a deeper understanding of the relation between the two formulations.”
- Holographic Fermi and non-Fermi liquids with transitions in dilaton gravity (2011, background): “Some references pertaining to the attractor mechanism are, [26], [41], [42], [43], [44], and more recently [45].”
- Extremal black holes in supergravity (2006, methodology): “Quite recently it has been recognized that the attractor mechanism, which is responsible for the area/entropy relation, has a larger application [31, 32, 33, 34, 35, 36] beyond the BPS cases, being a peculiarity of all extremal blackhole configurations, BPS or not.”
- Rotating Attractors (2006, background): “These examples include non-supersymmetric theories, actions with higher derivative corrections, extremal black holes in higher dimensions etc.[4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39].”
- Black hole microstates and attractor without supersymmetry (2006, background): “For a general class of two derivative actions describing gravity coupled to scalar fields and abelian gauge fields, extremal black holes are known to exhibit attractor phenomenon under certain conditions even without supersymmetry [20, 21, 22, 23, 24, 25, 26, 27, 28].”
- Lectures on black holes, topological strings and quantum attractors (2006, unknown): “8) may be rewritten as [127] ds(2) ∼ C 2 sinh(2)(Cτ) ( − A (dt+ ω)(2) + A 4π dτ 2 ) + A 4π d(2)Ω (7.”
- Black hole entropy function, attractors and precision counting of microstates (2007, background): “Various other recent references on entropy function and attractor mechanism can be found in [177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213, 214,215,216,217,218,219,220,221,222,223,224,”
- Charge Orbits of Symmetric Special Geometries and Attractors (2006, background): “In recent months (N = 2 non-BPS) non-supersymmetric extremal black hole attractors have been studied in the literature [56, 57, 58, 59, 60, 61, 62, 63, 64, 52, 65, 66], also in the case of non-homogeneous (and non-symmetric) special Kähler manifolds, e.”
- Holography of charged dilaton black holes (2009, background): “Some references on attractors without supersymmetry are [18, 19, 20, 21, 22].”
- Black Holes, Qubits and Octonions (2008, background): “The situation changes for non-BPS extremal black holes; the fixed values of the moduli at the horizon are given by [152, 153]”