Novel ``no-scalar-hair'' theorem for black holes

Details Novel ``no-scalar-hair'' theorem for black holes Novel ``no-scalar-hair'' theorem for black holes

Jun 1995

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995phrvd..51.6608b&link_type=abstract

Physical Review D (Particles, Fields, Gravitation, and Cosmology), Volume 51, Issue 12, 15 June 1995, pp.R6608-R6611

Physics

67

Black Holes, Classical Black Holes, Spontaneous Breaking Of Gauge Symmetries, Thermodynamic Processes, Conduction, Convection, Equations Of State

Scientific paper

We formulate a new ``no-hair'' theorem for black holes in general relativity which rules out a multicomponent scalar field dressing of any asymptotically flat, static, spherically symmetric black hole. The field is assumed to be minimally coupled to gravity, and to bear a non-negative energy density as seen by any observer, but its field Lagrangian need not be quadratic in the field derivatives. The proof centers on energy-momentum conservation and the Einstein equations. One kind of field ruled out is the Higgs field with a double (or multiple) well potential. The theorem is also proved for scalar-tensor gravity.

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