No-go theorem for false vacuum black holes

Abstract

We study the possibility of non-singular black hole solutions in the theory of general relativity coupled to a non-linear scalar field with a positive potential possessing two minima: a `false vacuum' with positive energy and a `true vacuum' with zero energy. Assuming that the scalar field starts at the false vacuum at the origin and comes to the true vacuum at spatial infinity, we prove a no-go theorem by extending a no-hair theorem to the black hole interior: no smooth solutions exist which interpolate between the local de Sitter solution near the origin and the asymptotic Schwarzschild solution through a regular event horizon or several horizons.

16 pages, 1 figure, Latex, some references added, to appear in Classical and Quantum Gravity

References in corpus (4)

• Regular Black Hole in General Relativity Coupled to Nonlinear Electrodynamics
• The algebraic structure of a cosmological term in spherically symmetric solutions
• Charged False Vacuum Bubbles and the AdS/CFT Correspondence
• Metrics with distributional curvature

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