Spherically symmetric dynamical horizons

Details Spherically symmetric dynamical horizons Spherically symmetric dynamical horizons

2005-12-15

arxiv.org/abs/gr-qc/0512091v1

Class.Quant.Grav.23:2559-2570,2006

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

latex, 19 pages, no figures

Scientific paper

10.1088/0264-9381/23/7/020

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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