The First law of black hole physics for a class of nonlinear matter models
May, 199326 pages
Published in:
- Class.Quant.Grav. 10 (1993) 1299-1322
Report number:
- ZU-TH-1-93-REV,
- MPA-723-REV
Citations per year
Abstract: (IOP)
The discovery of new black hole solutions and other surprises prompted the authors to study the following topics related to stationary black holes for nonlinear matter models, such as Yang-Mills fields or general sigma models: (i) the staticity problem for non-rotating stationary black holes, (ii) the circularity and Frobenius conditions for rotating black holes and (iii) the first law of black hole physics. Definitive and satisfactory results concerning these issues are derived for arbitrary minimally coupled scalar field (nonlinear sigma) models. For general Yang-Mills theories they show that, contrary to the Abelian case, the proof of the circularity theorem requires additional assumptions on the Yang-Mills field tensor. Concerning the first law, they derive an expression for the variation of the mass, involving only global quantities and surface terms. This relation generalizes the Bardeen-Carter-Hawking formula to black hole solutions of Einstein-Yang-Mills theories with arbitrary gauge groups.Note:
- Revised version
- black hole
- Einstein-Maxwell equation
- matter
- model: nonlinear
- mass formula
- field theory: scalar
- gauge field theory: Yang-Mills
- bibliography
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