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Critical behavior and scaling in vacuum axisymmetric gravitational collapse
Abstract
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 ${\mathit{p}}^{\mathrm{*}}$. As with spherical scalar-field collapse, a power law is found to relate black-hole mass (the order parameter) and critical separation: ${\mathit{M}}_{\mathrm{BH}}$\ensuremath{\propto}\ensuremath{\Vert}p-${\mathit{p}}^{\mathrm{*}}$${\mathrm{\ensuremath{\Vert}}}^{\mathrm{\ensuremath{\beta}}}$. The critical exponent is \ensuremath{\beta}\ensuremath{\simeq}0.37, remarkably close to that observed by Choptuik. Near-critical evolutions produce echoes from the strong-field region which appear to exhibit scaling.
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Research works printed but not linked: 7
- M. W. Choptuik, 1993, Phys. Rev. Lett., 70, 9, 10.1103/PhysRevLett.70.9 · DOI · Paper page
- A. M. Abrahams, 1992, Phys. Rev. D, 46, R4117, 10.1103/PhysRevD.46.R4117 · DOI
- C. R. Evans, 1986, Dynamical Spacetimes and Numerical Relativity
- J. M. Bardeen, 1983, Phys. Rep., 96, 205, 10.1016/0370-1573(83)90069-8 · DOI · Paper page
- A. M. Abrahams, 1988, Phys. Rev. D, 37, 318, 10.1103/PhysRevD.37.318 · DOI
- A. M. Abrahams, 1990, Phys. Rev. D, 42, 2585, 10.1103/PhysRevD.42.2585 · DOI
- S. A. Teukolsky, 1982, Phys. Rev. D, 26, 745, 10.1103/PhysRevD.26.745 · DOI
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Metadata
- Authors
- Abrahams, A. M., & Evans, C. R.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1993-05-17
- Volume
- 70
- Issue
- 20
- Pages
- 2980-2983
- ISSN
- 0031-9007 (ISSN-L)
- OpenAlex
- W1994298022
- Cited by
- 279
- References
- 0
- FWCI
- 11.78
- Type
- journal article
- Language
- en
- Open access
- closed
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