Exact solutions with AdS asymptotics of Einstein and Einstein-Maxwell gravity minimally coupled to a scalar field

Journal Article · Sat Oct 15 00:00:00 EDT 2011 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.84.084046· OSTI ID:21607929

Cadoni, Mariano; Serra, Matteo; Mignemi, Salvatore ^[1]

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1. Dipartimento di Fisica, Universita di Cagliari and INFN, Sezione di Cagliari - Cittadella Universitaria, 09042 Monserrato (Italy)

We propose a general method for solving exactly the static field equations of Einstein and Einstein-Maxwell 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 self-interaction potential. Using this method we prove a new no-hair theorem about the existence of hairy black-hole and black-brane 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 anti-de Sitter, domain wall and Lifshitz asymptotics; (3) solutions interpolating between an anti-de Sitter spacetime in the asymptotic region and a domain wall or conformal Lifshitz spacetime in the near-horizon region.

• OSTI ID: 21607929
• Journal Information: Physical Review. D, Particles Fields, Vol. 84, Issue 8; Other Information: DOI: 10.1103/PhysRevD.84.084046; (c) 2011 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANTI DE SITTER SPACE
ASYMPTOTIC SOLUTIONS
BLACK HOLES
EINSTEIN-MAXWELL EQUATIONS
EXACT SOLUTIONS
FIELD EQUATIONS
FOUR-DIMENSIONAL CALCULATIONS
GENERAL RELATIVITY THEORY
GRAVITATION
INTERACTIONS
MANY-DIMENSIONAL CALCULATIONS
METRICS
QUANTUM FIELD THEORY
SCALAR FIELDS
SPACE-TIME
SPHERICAL CONFIGURATION
SYMMETRY
TOPOLOGY
TWO-DIMENSIONAL CALCULATIONS
CONFIGURATION
EQUATIONS
FIELD THEORIES
MATHEMATICAL SOLUTIONS
MATHEMATICAL SPACE
MATHEMATICS
RELATIVITY THEORY
SPACE