Evolution of time-symmetric gravitational waves - Initial data and apparent horizons

Details Evolution of time-symmetric gravitational waves - Initial data and apparent horizons Evolution of time-symmetric gravitational waves - Initial data and apparent horizons

Sep 1977

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977phrvd..16.1609e&link_type=abstract

Physical Review D - Particles and Fields, 3rd Series, vol. 16, Sept. 15, 1977, p. 1609-1614.

Astronomy and Astrophysics

Astronomy

46

Black Holes (Astronomy), Gravitational Waves, Space-Time Functions, Astronomical Models, Conformal Mapping, Hyperspaces

Scientific paper

Initial data were constructed numerically representing pure gravitational radiation with no sources or wormholes, under the conditions of time symmetry, axisymmetry, vacuum, and no rotation. The constraints were solved by making a conformal transformation on a base metric and solving the scale equation for the conformal factor. The initial data contain a black hole if the amplitude of the waves is sufficiently strong. The locations of apparent horizons were found for several such amplitudes. At a critical amplitude the throat pinches off, and the geometry becomes singular.

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