The Non-BPS Black Hole Attractor Equation | Zendy

R Kollosh | Zendy

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The Non-BPS Black Hole Attractor Equation

Author(s) -

R Kollosh

Publication year - 2006

Publication title -

osti oai (u.s. department of energy office of scientific and technical information)

Language(s) - English

Resource type - Reports

DOI - 10.2172/876040

Subject(s) - attractor , compactification (mathematics) , moduli , physics , moduli space , black hole (networking) , string theory , mathematical physics , horizon , theoretical physics , mathematical analysis , geometry , mathematics , pure mathematics , quantum mechanics , computer network , routing protocol , routing (electronic design automation) , astronomy , computer science , link state routing protocol

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

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