Astronomy and Astrophysics – Astronomy
Scientific paper
May 1975
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975anphy..91...75b&link_type=abstract
Annals of Physics, vol. 91, May 1975, p. 75-82.
Astronomy and Astrophysics
Astronomy
88
Black Holes (Astronomy), Einstein Equations, Electric Charge, Electromagnetic Fields, Field Theory (Physics), Particle Trajectories, Angular Momentum, Maxwell Equation, Particle Mass, Scalars
Scientific paper
It is shown that scalar charge is an admissible parameter characterizing a stationary black hole with an exterior devoid of matter. A previous solution by Bekenstein (1974) of Einstein's equations with stress-energy of electromagnetic and conformal scalar field is presented which has a black-hole geometry, is parametrized by electric and scalar charges, and whose scalar field is unbounded at the event horizon. The infinity of the scalar field is shown not to be physically pathological, not to be associated with an infinite potential barrier for test scalar charges, not to cause the termination of any trajectories of these test particles at finite proper time, and not to be connected with unbounded tidal accelerations between neighboring trajectories. It is concluded that the present solution represents a two-parameter family of bare stationary black holes and that the conjecture that 'black holes have no hair' must be reinterpreted to allow for scalar charge as a black hole parameter.
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