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Extremal black hole flows and duality
Author(s) -
Ceresole A.
Publication year - 2011
Publication title -
fortschritte der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.469
H-Index - 71
eISSN - 1521-3978
pISSN - 0015-8208
DOI - 10.1002/prop.201100028
Subject(s) - superpotential , supergravity , duality (order theory) , scalar (mathematics) , physics , black hole (networking) , entropy (arrow of time) , theoretical physics , extremal black hole , mathematical physics , supersymmetry , mathematics , quantum mechanics , pure mathematics , geometry , computer science , computer network , routing protocol , routing (electronic design automation) , link state routing protocol
Extremal black holes in extended supergravity theories can be obtained as solutions of first order flow equations even when they are not supersymmetric, provided one identifies a suitable superpotential W appearing in the effective potential, and driving the evolution of the scalar fields. W also gives the black hole horizon entropy and the ADM mass. We describe how classical U‐duality allows to determine W in many models and to classify both regular and singular solutions.