2000/08/31 by Dmitri V. Gal'tsov, Dmitri V Gal'tsov, José P S Lemos +1
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #gr-qc
paper · pdf · doi:10.1088/0264-9381/18/9/308
published as Class.Quant.Grav. 18 (2001) 1715-1726 · 16 pages, 1 figure, Latex, some references added, to appear in Classical and Quantum Gravity
arxiv created 2001/03/18 · openalex publication_date 2001/04/10 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30
We study the possibility of non-singular black hole solutions in the theory of general relativity coupled to a nonlinear 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.