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Spherically symmetric dynamical horizons

Robert Bartnik·Jim Isenberg
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Abstract

We determine sufficient and necessary conditions for a spherically symmetric initial data set to satisfy the dynamical horizon conditions in the spacetime development. The constraint equations reduce to a single second order linear master equation, which leads to a systematic construction of all spherically symmetric dynamical horizons (SSDH) satisfying certain boundedness conditions. We also find necessary and sufficient conditions for a given spherically symmetric spacetime to contain a SSDH.

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Robert Bartnik, Jim Isenberg. 2005-12-15. Spherically symmetric dynamical horizons. https://doi.org/10.1088/0264-9381%2F23%2F7%2F020

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