Weyl invariant black hole

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Feb 1996

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996phrvd..53.1955k&link_type=abstract

Physical Review D (Particles, Fields, Gravitation, and Cosmology), Volume 53, Issue 4, 15 February 1996, pp.1955-1962

Physics

5

Classical Black Holes, Exact Solutions, Gravity In More Than Four Dimensions, Kaluza-Klein Theory, Unified Field Theories, Alternative Theories Of Gravity

Scientific paper

The properties of the Weyl invariant black hole and its implications are studied. The calculation shows that there is no hair, up to a gauge choice, for a Weyl gauge field outside the event horizon of a black hole in the Weyl invariant limit. We also show that a scalar field will remain constant once the scale symmetry is broken spontaneously by the well-known Higgs potential. As a result, classical hair for the Weyl vector meson and scalar measuring field vanishes strictly in the presence of a spontaneously symmetry-breaking potential. Hence the no-hair theorem holds both in the Weyl invariant limit and the symmetry-breaking phase.

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