The NonBPS Black Hole Attractor Equation
Abstract
We study the attractor mechanism for extremal nonBPS 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 nonextremal cases. We present a detailed derivation of the nonsupersymmetric 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 socalled doubleextremal 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.
 Authors:
 Publication Date:
 Research Org.:
 Stanford Linear Accelerator Center (SLAC)
 Sponsoring Org.:
 USDOE
 OSTI Identifier:
 876040
 Report Number(s):
 SLACPUB11660
TRN: US200604%%430
 DOE Contract Number:
 AC0276SF00515
 Resource Type:
 Technical Report
 Country of Publication:
 United States
 Language:
 English
 Subject:
 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ATTRACTORS; BLACK HOLES; COMPACTIFICATION; GEOMETRY; STABILIZATION; HEPTH
Citation Formats
Kollosh, R. The NonBPS Black Hole Attractor Equation. United States: N. p., 2006.
Web. doi:10.2172/876040.
Kollosh, R. The NonBPS Black Hole Attractor Equation. United States. doi:10.2172/876040.
Kollosh, R. Wed .
"The NonBPS Black Hole Attractor Equation". United States.
doi:10.2172/876040. https://www.osti.gov/servlets/purl/876040.
@article{osti_876040,
title = {The NonBPS Black Hole Attractor Equation},
author = {Kollosh, R},
abstractNote = {We study the attractor mechanism for extremal nonBPS 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 nonextremal cases. We present a detailed derivation of the nonsupersymmetric 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 socalled doubleextremal 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.},
doi = {10.2172/876040},
journal = {},
number = ,
volume = ,
place = {United States},
year = {Wed Feb 08 00:00:00 EST 2006},
month = {Wed Feb 08 00:00:00 EST 2006}
}

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