Constant mean curvature slices and trapped surfaces in asymptotically flat spherical spacetimes

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1996
Authors
Iriondo, M
Malec, Edward
Ó Murchadha, Niall
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American Physical Society
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Abstract
We investigate trapped surfaces in asymptotically flat spherical spacetimes using constant mean curvature slicing. Precise necessary and sufficient conditions for the formation of such surfaces are derived. We write down an explicit expression for the constant mean curvature foliation of the Reissner-Nordstrom spacetime. A set of criteria describing the formation of horizons in arbitrary slicings of asymptotically flat and spherically symmetric spacetimes is given in the Appendix.
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Symmetrical geometries
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Iriondo, M., Malec, E. and Ó Murchadha, N. (1996) 'Constant mean curvature slices and trapped surfaces in asymptotically flat spherical spacetimes', Physical Review D, 54(8), 4792-4798 (7pp). doi: 10.1103/PhysRevD.54.4792
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© 1996, American Physical Society