The constant mean curvature slices of asymptotically flat spherical Spacetimes

MIRTA IRIONDO, EDWARD MALEC AND NIALL Ó MURCHADHA,

PHYSICAL REVIEW D

AMER PHYSICAL SOC

Lugar: New York; Año: 1996 vol. 54 p. 4792 - 4798

1550-7998

We investigate the formation of trapped surfaces in asymptotically flat spherical spacetimes,using constant mean curvature slicing. Precise necessary and sufficient condictions 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.