Spherically symmetric dynamical horizons

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.

latex, 19 pages, no figures

References in corpus (3)

• Isolated and dynamical horizons and their applications
• Local existence of dynamical and trapping horizons
• Marginally trapped tubes and dynamical horizons

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