Spherically symmetric systems of fields and black holes. I. Definition and properties of apparent horizon
We investigate three model field theories: a minimally coupled charged scalar field together with gravity and electromagnetism, a minimally coupled SO(3) Yang-Mills field and gravity, and the Callan-Coleman-Jackiw scalar field. We restrict ourselves to spherically symmetric configurations; the corresponding dimensional reduction leads to an action functional on a two-dimensional spacetime which contains a metric, a neutral scalar, a charged scalar, and an electromagnetic field. The action is written in the second-order, covariant and gauge-invariant form. We generalize the definition of the future and past apparent horizon so that it will not be visible from the future and past null infinity, respectively, and will form a nontimelike surface, both also in the case of the Callan-Coleman-Jackiw model. We prove an inequality relating the surface area and the charges of the apparent horizon. We study the boundary conditions for the fields at the horizon, at the regular center, and at infinity. Finally, we speculate on the existence of static spherically symmetric solutions, where a black hole is surrounded by a matter shell; in two-dimensional spacetime, this looks like a kink.
- Research Organization:
- Institute for Theoretical Physics, University of Bern, Sidlerstrasse 5, CH-3012 Bern, Switzerland
- OSTI ID:
- 6409512
- Journal Information:
- Phys. Rev. D; (United States), Vol. 30:6
- Country of Publication:
- United States
- Language:
- English
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GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BLACK HOLES
FIELD THEORIES
BOUNDARY CONDITIONS
ELECTROMAGNETIC FIELDS
FIELD EQUATIONS
GAUGE INVARIANCE
GRAVITATIONAL FIELDS
METRICS
QUANTUM GRAVITY
SCALAR FIELDS
SCHROEDINGER EQUATION
SO-3 GROUPS
SPACE-TIME
SYMMETRY
YANG-MILLS THEORY
DIFFERENTIAL EQUATIONS
EQUATIONS
INVARIANCE PRINCIPLES
LIE GROUPS
PARTIAL DIFFERENTIAL EQUATIONS
QUANTUM FIELD THEORY
SO GROUPS
SYMMETRY GROUPS
WAVE EQUATIONS
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