Black holes and asymptotics of 2 + 1 gravity coupled to a scalar field

By M. Henneaux, Cristián Martínez, Ricardo Troncoso, J. Zanelli. 2002

224 citations recorded by the source corpus.

We consider $2+1$ gravity minimally coupled to a self-interacting scalar field. The case in which the fall-off of the fields at infinity is slower than that of a localized distribution of matter is analyzed. It is found that the asymptotic symmetry group remains the same as in pure gravity (i.e., the conformal group). The generators of the asymptotic symmetries, however, acquire a contribution from the scalar field, but the algebra of the canonical generators possesses the standard central extension. In this context, new massive black hole solutions with a regular scalar field are found for a one-parameter family of potentials. These black holes are continuously connected to the standard zero mass black hole.

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

View Paper: https://www.semanticscholar.org/paper/1f7742b31528c60d8d1fb441bc73cd8f72a0f241

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Citations in the corpus

Instability in cosmological topologically massive gravity at the chiral point (2008, background): “Indeed, insisting on this stronger set of boundary conditions would also eliminate physically interesting solutions in similar theories of gravity [ 25 ].”
Classical central extension for asymptotic symmetries at null infinity in three spacetime dimensions (2006, background): “…a solution g, one can furthermore prove • for n ≥ 3, that all n− 2 forms that are closed for all solutions h of the linearized theory are given, on solutions h, by kξ for some Killing vector ξ, up to d exact n− 2 forms which do not contribute to the integrals [15, 17, 18], • if ξ1, ξ2 are…”
Symmetries of holographic minimal models (2011, background): “The case M = M BF, or λ = 0 in the dual CFT, may allow for interesting modifications because the scalars have relaxed behavior at infinity [42, 43].”
Asymptotic behavior and Hamiltonian analysis of anti-de Sitter gravity coupled to scalar fields (2006, background): “However, as discussed below (and noticed in [3, 19, 5]), the integration of the variation of the symmetry generators as local functionals of the fields requires a and b to be functionally related in the form a = a(b, x).”
Multi-trace deformations in AdS/CFT: exploring the vacuum structure of the deformed CFT (2007, methodology): “Both the maximal gauged supergravities in four and five dimensions contain scalars with the right mass, and indeed black hole solutions with scalar hair that satisfy generalized boundary conditions were found numerically in [12], following earlier work in three dimensions [11].”
Boundary conditions and dualities: vector fields in AdS/CFT (2006, background): “One may further show that all such boundary conditions remain valid when the scalar field is coupled to gravity; see [31] for a general analysis and [ 32 , 33, 34, 35, 36, 37] for direct calculations.”
Boundary charges in gauge theories: using Stokes theorem in the bulk (2003, methodology): “In future work, we plan to study general conditions under which the n 2 forms are path independent and apply the formalism to more complicated theories, for instance the higher curvature gravity theories considered in [38, 8, 39, 40], or more exotic black hole solutions involving scalar fields like ”