Exact solutions with AdS asymptotics of Einstein and EinsteinMaxwell gravity minimally coupled to a scalar field
Abstract
We propose a general method for solving exactly the static field equations of Einstein and EinsteinMaxwell gravity minimally coupled to a scalar field. Our method starts from an ansatz for the scalar field profile, and determines, together with the metric functions, the corresponding form of the scalar selfinteraction potential. Using this method we prove a new nohair theorem about the existence of hairy blackhole and blackbrane solutions and derive broad classes of static solutions with radial symmetry of the theory, which may play an important role in applications of the AdS/CFT correspondence to condensed matter and strongly coupled QFTs. These solutions include: (1) four or generic (d+2)dimensional solutions with planar, spherical or hyperbolic horizon topology; (2) solutions with antide Sitter, domain wall and Lifshitz asymptotics; (3) solutions interpolating between an antide Sitter spacetime in the asymptotic region and a domain wall or conformal Lifshitz spacetime in the nearhorizon region.
 Authors:

 Dipartimento di Fisica, Universita di Cagliari and INFN, Sezione di Cagliari  Cittadella Universitaria, 09042 Monserrato (Italy)
 Publication Date:
 OSTI Identifier:
 21607929
 Resource Type:
 Journal Article
 Journal Name:
 Physical Review. D, Particles Fields
 Additional Journal Information:
 Journal Volume: 84; Journal Issue: 8; Other Information: DOI: 10.1103/PhysRevD.84.084046; (c) 2011 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 05562821
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ANTI DE SITTER SPACE; ASYMPTOTIC SOLUTIONS; BLACK HOLES; EINSTEINMAXWELL EQUATIONS; EXACT SOLUTIONS; FIELD EQUATIONS; FOURDIMENSIONAL CALCULATIONS; GENERAL RELATIVITY THEORY; GRAVITATION; INTERACTIONS; MANYDIMENSIONAL CALCULATIONS; METRICS; QUANTUM FIELD THEORY; SCALAR FIELDS; SPACETIME; SPHERICAL CONFIGURATION; SYMMETRY; TOPOLOGY; TWODIMENSIONAL CALCULATIONS; CONFIGURATION; EQUATIONS; FIELD THEORIES; MATHEMATICAL SOLUTIONS; MATHEMATICAL SPACE; MATHEMATICS; RELATIVITY THEORY; SPACE
Citation Formats
Cadoni, Mariano, Serra, Matteo, Mignemi, Salvatore, and Dipartimento di Matematica, Universita di Cagliari and INFN, Sezione di Cagliari  viale Merello 92, 09123 Cagliari. Exact solutions with AdS asymptotics of Einstein and EinsteinMaxwell gravity minimally coupled to a scalar field. United States: N. p., 2011.
Web. doi:10.1103/PHYSREVD.84.084046.
Cadoni, Mariano, Serra, Matteo, Mignemi, Salvatore, & Dipartimento di Matematica, Universita di Cagliari and INFN, Sezione di Cagliari  viale Merello 92, 09123 Cagliari. Exact solutions with AdS asymptotics of Einstein and EinsteinMaxwell gravity minimally coupled to a scalar field. United States. doi:10.1103/PHYSREVD.84.084046.
Cadoni, Mariano, Serra, Matteo, Mignemi, Salvatore, and Dipartimento di Matematica, Universita di Cagliari and INFN, Sezione di Cagliari  viale Merello 92, 09123 Cagliari. Sat .
"Exact solutions with AdS asymptotics of Einstein and EinsteinMaxwell gravity minimally coupled to a scalar field". United States. doi:10.1103/PHYSREVD.84.084046.
@article{osti_21607929,
title = {Exact solutions with AdS asymptotics of Einstein and EinsteinMaxwell gravity minimally coupled to a scalar field},
author = {Cadoni, Mariano and Serra, Matteo and Mignemi, Salvatore and Dipartimento di Matematica, Universita di Cagliari and INFN, Sezione di Cagliari  viale Merello 92, 09123 Cagliari},
abstractNote = {We propose a general method for solving exactly the static field equations of Einstein and EinsteinMaxwell gravity minimally coupled to a scalar field. Our method starts from an ansatz for the scalar field profile, and determines, together with the metric functions, the corresponding form of the scalar selfinteraction potential. Using this method we prove a new nohair theorem about the existence of hairy blackhole and blackbrane solutions and derive broad classes of static solutions with radial symmetry of the theory, which may play an important role in applications of the AdS/CFT correspondence to condensed matter and strongly coupled QFTs. These solutions include: (1) four or generic (d+2)dimensional solutions with planar, spherical or hyperbolic horizon topology; (2) solutions with antide Sitter, domain wall and Lifshitz asymptotics; (3) solutions interpolating between an antide Sitter spacetime in the asymptotic region and a domain wall or conformal Lifshitz spacetime in the nearhorizon region.},
doi = {10.1103/PHYSREVD.84.084046},
journal = {Physical Review. D, Particles Fields},
issn = {05562821},
number = 8,
volume = 84,
place = {United States},
year = {2011},
month = {10}
}