Strategy to Construct Exact Solutions in Einstein-Scalar Gravities

Abstract

In this article we propose a new efficient strategy to construct exact solutions of Einstein gravities with a minimally coupled self-interacting scalar field. The strategy is to use the symmetry of the equations of motion (EOMs) to give a proper ansatz for scalar field first, then derive the metric and the corresponding scalar potential later. Using this strategy we give a simple example of constructing exact circular solutions in three dimensional gravities, these solutions contain the HMTZ black holes as a special case and some other new solutions. We also talk about thermodynamics of these exact solutions. This strategy also works for other metrics and in higher dimensional spacetime if their EOMs admit a scalar invariance.

arXiv commentTypos fixed, more solutions added including some hairy solitons in three dimensions and hairy black holes in higher dimensions

References in corpus (36)

• The Large N Limit of Superconformal Field Theories and Supergravity
• The Black Hole in Three Dimensional Space Time
• Black Hole Entropy is Noether Charge
• Some Properties of Noether Charge and a Proposal for Dynamical Black Hole Entropy
• Asymptotically Anti-de Sitter Space-times: Conserved Quantities
• Moduli, Scalar Charges, and the First Law of Black Hole Thermodynamics
• Exact black hole solution with a minimally coupled scalar field
• Black holes and asymptotics of 2+1 gravity coupled to a scalar field
• Anti-de Sitter Black Holes in Gauged N=8 Supergravity
• Continuous distributions of D3-branes and gauged supergravity
• "Double-trace" Deformations, Boundary Conditions and Spacetime Singularities
• Black Holes with Scalar Hair and Asymptotics in N=8 Supergravity
• Asymptotic behavior and Hamiltonian analysis of anti-de Sitter gravity coupled to scalar fields
• Holographic Description of AdS Cosmologies
• Designer Gravity and Field Theory Effective Potentials
• Thermodynamics of deformed AdS${}_5$ model with a positive/negative quadratic correction in graviton-dilaton system
• Exact Black Holes and Universality in the Backreaction of non-linear Sigma Models with a potential in (A)dS4
• A hQCD model and its phase diagram in Einstein-Maxwell-Dilaton system
• A Note on Multi-trace Deformations and AdS/CFT
• Exact asymptotically flat charged hairy black holes with a dilaton potential
• On the Quantum Resolution of Cosmological Singularities using AdS/CFT
• Four-Dimensional Asymptotically AdS Black Holes with Scalar Hair
• New stability results for Einstein scalar gravity
• Scalar Hairy Black Holes in General Dimensions
• A New Class of Exact Hairy Black Hole Solutions
• On attractor mechanism of $Ad{S}_4$ black holes
• Hairy planar black holes in higher dimensions
• Scalar Charges in Asymptotic AdS Geometries
• Mass of asymptotically anti-de Sitter hairy spacetimes
• Black holes in $\omega$-defomed gauged $N=8$ supergravity
• Hairy black hole entropy and the role of solitons in three dimensions
• Exact hairy black brane solutions in $Ad{S}_5$ and holographic RG flows
• Static and Dynamic Hairy Planar Black Holes
• Hairy black holes in N=2 gauged supergravity
• The Non-integrable Mass and the Scalar Charge
• Charged Black Holes with Scalar Hair

Cited by in corpus (15)

• Thermodynamics of Charged Black Holes in Einstein-Horndeski-Maxwell Theory
• Hairy Black Holes and Duality in an Extended Supergravity Model
• Oscillons in hyperbolic models
• Constructing black holes in Einstein-Maxwell-scalar theory
• Collisions of kinks in deformed ${\phi }^4$ and ${\phi }^6$ models
• Kink scattering in hyperbolic models
• Hairy AdS Solitons
• On the thermodynamics of hairy black holes
• On black holes with scalar hairs
• Exact holographic RG flows in extended SUGRA
• The Non-integrable Mass and the Scalar Charge
• Scattering of kinks in scalar-field models with higher-order self-interactions
• Entropy of black holes coupled to a scalar field
• Charged Black Holes with Scalar Hair
• Agujeros Negros con Pelo y Dualidad AdS/CFT