Physics
Scientific paper
Feb 2001
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2001phrvd..63d7502t&link_type=abstract
Physical Review D, vol. 63, Issue 4, id. 047502
Physics
4
Classical Black Holes, Exact Solutions, Relativity And Gravitation
Scientific paper
We discuss a charged black hole with a scalar field in asymptotically de Sitter spacetime in the Einstein-Maxwell-scalar-Λ system. By imposing the spherically symmetric ansatz we find that there is no solution when the scalar field is massless or has the ``convex'' potential. We also investigate the double well potential as an example of the generic non-negative potential, and find the nontrivial solutions. The scalar field of these solutions must pass over the top of the potential barrier several times; i.e., they have a node number. However, these solutions have just the same number of the unstable modes as their node number in the linear perturbation analysis. This suggests that the black hole no-hair conjecture holds in this system.
Maeda Kengo
Narita Makoto
Torii Takashi
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