stu black holes unveiled斯图黑洞公布.pdfVIP

Entropy 2008, 10, 507-555; DOI: 10.3390/ OPEN ACCESS entropy ISSN 1099-4300 /journal/entropy Article Black Holes Unveiled Stefano Bellucci , Sergio Ferrara , Alessio Marrani and Armen Yeranyan INFN - Laboratori Nazionali di Frascati, Via Enrico Fermi 40, I-00044 Frascati, Italy Physics Department,Theory Unit, CERN, CH 1211, Geneva 23, Switzerland Miller Institute for Basic Research in Science, University of California, Berkeley, CA94720, USA Museo Storico della Fisica e Centro Studi e Ricerche “Enrico Fermi”, I-00184 Roma, Italy Stanford Institute for Theoretical Physics, Stanford University, Stanford CA, 94305-4060, USA Department of Physics, Yerevan State University, Alex Manoogian St., 1, Yerevan, 375025, Armenia E-mails: bellucci@lnf.infn.it; sergio.ferrara@cern.ch; marrani@lnf.infn.it; ayeran@lnf.infn.it Author to whom correspondence should be addressed. Received: 5 October 2008 / Accepted: 13 October 2008 / Published: 17 October 2008 Abstract: The general solutions of the radial attractor flow equations for extremal black holes, both for non-BPS with non-vanishing central charge and for , are obtained for the so-called model, the minimal rank- symmetric supergravity in space-time dimensions. Comparisons with previous results, as well as the fake supergravity (first order) formalism and an analysis of the BPS bound all along the non-BPS attractor flows and of the marginal stability of corresponding -brane configurations, are given. Keywords: black holes; attractors; supergravity. 1. Introduction The physics of bl