Spherically Symmetric Dynamical Horizons
نویسندگان
چکیده
We study spherically symmetric dynamical horizons (SSDH) in spherically symmetric Einstein/matter spacetimes. We first determine sufficient and necessary conditions for an initial data set for the gravitational and matter fields to satisfy the dynamical horizon condition in the spacetime development. The constraint equations reduce to a single second order linear “master” equation, which leads to a systematic construction of all SSDH initial data sets with certain boundedness conditions. Turning from construction to existence, we find necessary and sufficient conditions for a given spherically symmetric spacetime to contain a SSDH. 2000 Mathematics Subject Classification: 53C99,83C57.
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