Black Holes with Self-Interacting Scalar Fields
duration: 1994-97
researchers: Dennhardt, Lechtenfeld, Peters, Reinhardt, Unbehaun
other projects
Abstract:
It has been known for more than 20 years that isotropic and static solutions
of Einstein's equations are very rigid in nature. In vacuo (without matter),
where isotropy already implies time independence, the Schwarzschild metric is,
in fact, the unique asymptotically flat solution.
The situation is less clear in the presence of matter, although partial results
exist for gravity coupled to Maxwell, Yang-Mills, and/or scalar fields of
dilaton, axion or Higgs type. The so-called `no-hair' theorems severely
restrict the static field configurations outside the event horizon, completely
classifying regular and asymptotically flat black-hole solutions by a few
conserved charges such as total mass, angular momentum, electric and magnetic
charges.
`No-hair' theorems usually assume the dominant energy condition to be satisfied.
It is therefore of interest to ask whether non-trivial deformations of
black-hole solutions can be found if one relaxes the dominant energy condition.
The most simple system to study consists of a minimally gravitationally
coupled real scalar field enjoying some self-interaction.
The current project investigates the existence, construction, stability and
other properties of static black-hole plus scalar field configurations
which circumvent the known `no-hair' theorems.
Helge Dennhardt and Olaf Lechtenfeld:
Scalar deformations of Schwarzschild holes and their stability
gr-qc/9612062 (Int. J. Mod. Phys. A 12 (1997) 741)
Olaf Bechmann and Olaf Lechtenfeld:
Exact black-hole solution with self-interacting scalar field
gr-qc/9502011 (Class. Quant. Grav. 12 (1995) 1473)