Three Dimensional Gravity in the Presence of Scalar Fields

Abstract

We study a scalar field in curved space in three dimensions. We obtain a static perturbative solution and show that this solution satisfies the exact equations in the asymptotic region at infinity. The new solution gives rise to a singularity in the curvature scalar at the origin. Our solution, however, necessitates the excising the region near the origin, thus this naked singularity is avoided.

10 pages, 5 figures. Replaced by a revised version

References in corpus (4)

• Gravitational collapse in 2+1 dimensional AdS spacetime
• Scalar field collapse in three-dimensional AdS spacetime
• An exact solution for 2+1 dimensional critical collapse
• Singularity in 2+1 dimensional AdS-scalar black hole

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• An Exact Solution for Static Scalar Fields Coupled to Gravity in $(2+1)$-Dimensions
• Classical and quantum analysis of an Einstein-Scalar solution in $2+1$ dimensions