Physics
Scientific paper
Sep 1992
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992phrvd..46.2452a&link_type=abstract
Physical Review D (Particles, Fields, Gravitation, and Cosmology), Volume 46, Issue 6, 15 September 1992, pp.2452-2463
Physics
24
Fundamental Problems And General Formalism, Black Holes
Scientific paper
The formation of a naked singularity in a vacuum, asymptotically flat spacetime would be a clear violation of cosmic censorship. We find initial value solutions to Einstein's field equations that may lead to this behavior. We construct two families of asymptotically flat, axisymmetric vacuum solutions at a moment of time symmetry. The limiting members of these families are singular. Our first family represents a linear string of Schwarzschild black holes. We study the divergence of the gravitational tidal field outside the holes as their number along the string is increased. Our second family consists of prolate Brill gravitational wave packets. We examine the tidal field strength as the characteristic width of the wave is reduced towards zero. In both cases we find that configurations can be constructed with arbitrarily large fields that are not clothed by apparent horizons. These configurations are characterized by long, prolate concentrations of mass energy. We analyze our results in the context of the hoop conjecture.
Abrahams Andrew M.
Heiderich Karen R.
Shapiro Stuart L.
Teukolsky Saul A.
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