Astronomy and Astrophysics – Astronomy
Scientific paper
May 1985
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985gregr..17..439s&link_type=abstract
General Relativity and Gravitation (ISSN 0001-7701), vol. 17, May 1985, p. 439-459. Sponsorship: Fonds zur Foerderung der Wissen
Astronomy and Astrophysics
Astronomy
6
Black Holes (Astronomy), Field Strength, Gravitation Theory, Gravitational Fields, Relativity, Unified Field Theory, Bosons, Cartan Space, Existence Theorems, Gauge Theory, Integral Equations, Maxwell Equation, Tensor Analysis
Scientific paper
A gravitational field strength is defined in theories of the Einstein-Cartan type admitting a Killing vector. This field strength is a second-rank antisymmetric divergence-free tensor whose (Komar) integral over a closed 2-surface gives a physically meaningful quantity. Conditions on the Lagrange density of the theory are found which ensure the existence of such a tensor, and it is shown that they are satisfied for N = 2 supergravity and for a special case of the bosonic sector of N = 4 supergravity. A possible application of the generalized Komar integral in the theory of stationary black holes is discussed, and the field-strength problem in Kaluza-Klein theory, where the application to black holes is particularly interesting, is considered.
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