Critical behavior and scaling in vacuum axisymmetric gravitational collapse

Details Critical behavior and scaling in vacuum axisymmetric gravitational collapse Critical behavior and scaling in vacuum axisymmetric gravitational collapse

May 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993phrvl..70.2980a&link_type=abstract

Physical Review Letters (ISSN 0031-9007), vol. 70, no. 20, p. 2980-2983.

Statistics

Computation

150

Gravitational Collapse, Gravitational Waves, Scaling Laws, Vacuum, Black Holes (Astronomy), Computational Astrophysics, Relativistic Theory, Space-Time Functions

Scientific paper

We report a second example of critical behavior in gravitational collapse. Collapse of axisymmetric gravitational wave packets is computed numerically for a one-parameter family of initial data. A black hole first appears along the sequence at a critical parameter value p*. As with spherical scalar field collapse, a power law is found to relate black-hole mass (the order parameter) and critical separation: MBH varies inversely as the absolute values of p - p* exp beta. The critical exponent is beta of about 0.37, remarkably close to that observed by Choptuik (1993). Near-critical evolutions produce echoes from the strong-field region which appear to exhibit scaling.

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