Mass variation formulae for Einstein-Yang-Mills-Higgs and Einstein-dilaton black holes

Details Mass variation formulae for Einstein-Yang-Mills-Higgs and Einstein-dilaton black holes Mass variation formulae for Einstein-Yang-Mills-Higgs and Einstein-dilaton black holes

Sep 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993phlb..315...55h&link_type=abstract

Physics Letters B, Volume 315, Issue 1-2, p. 55-66.

Physics

12

Scientific paper

We consider the ``first law'' of black hole physics for stationary Einstein-Yang-Mills-Higgs and Einstein-dilaton theories. It is shown that the mass variation formula involves only global quantities and surface terms. Our results hold for arbitrary gauge groups and any structure of the Higgs field multiplets. For purely magnetic field configurations, the extra horizon integrals vanish and the variation of the mass can be expressed in terms of the usual vacuum contributions and additional surface integrals at spacelike infinity.

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