Exact black hole solution with a minimally coupled scalar field

By Cristián Martínez, Ricardo Troncoso, J. Zanelli. Physical Review D, 2004

257 citations recorded by the source corpus.

An exact four-dimensional black hole solution of gravity with a minimally coupled self-interacting scalar field is reported. The event horizon is a surface of negative constant curvature enclosing the curvature singularity at the origin, and the scalar field is regular everywhere outside the origin. This solution is an asymptotically locally anti-deSitter spacetime. The strong energy condition is satisfied on and outside the event horizon. The thermodynamical analysis shows the existence of a critical temperature, below which a black hole in vacuum undergoes a spontaneous dressing up with a nontrivial scalar field in a process reminiscent of ferromagnetism.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/87900d37a1f726a97c04369dc6a956ea096ad312

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Citations in the corpus

Holographic description of AdS cosmologies (2005, background): “(10)See [30, 31] for other examples of black hole solutions with tachyonic scalar hair.”
Effective holographic theories for low-temperature condensed matter systems (2010, background): “To this gravitational contribution, one must add a scalar term, [75, 65, 66],”
Numerical methods for finding stationary gravitational solutions (2015, background): “[218] C.”
Asymptotic behavior and Hamiltonian analysis of anti-de Sitter gravity coupled to scalar fields (2006, background): “has generated considerable attention recently as it admits black hole solutions with interesting new properties [3, 4, 5, 6, 7, 8, 9].”
Comparison between various notions of conserved charges in asymptotically AdS spacetimes (2005, background): “It was also found that certain boundary conditions admit AdSblack holes with scalar hair [3–5].”
Multi-trace deformations in AdS/CFT: exploring the vacuum structure of the deformed CFT (2007, methodology): “It was also considered in [48], where a four-dimensional asymptotically locally AdS topological black hole with scalar hair was found, as well as in [23] and [24], where respectively four-dimensional domain walls and instantons were found and uplifted to M-theory.”