Dmitri V Gal'tsov and José P S Lemos 2001 Class. Quantum Grav. 18 1715 doi:10.1088/0264-9381/18/9/308
Dmitri V Gal'tsov1,3 and José P S Lemos2
Show affiliationsWe 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.
83C20 Classes of solutions; algebraically special solutions, metrics with symmetries
Issue 9 (7 May 2001)
Received 11 September 2000
Dmitri V Gal'tsov and José P S Lemos 2001 Class. Quantum Grav. 18 1715
Jan Ambjørn et al JHEP05(2008)032
Jianguo Huang and Yu Chen 2005 Inverse Problems 21 1667
Y Kameshima et al 2009 J. Phys.: Conf. Ser. 191 012015
F Darabi and H R Sepangi 1999 Class. Quantum Grav. 16 1565
J Pitel and P Kovác 1997 Supercond. Sci. Technol. 10 7
Ryan J Halter et al 2008 Physiol. Meas. 29 S111
Gonzalo R Feijoo 2004 Inverse Problems 20 1819
Rui Peng et al 2008 Nonlinearity 21 1471
B R Chakraborty et al 2005 Nanotechnology 16 1006