Journal
CLASSICAL AND QUANTUM GRAVITY
Volume 35, Issue 2, Pages -Publisher
IOP Publishing Ltd
DOI: 10.1088/1361-6382/aa9804
Keywords
scalar curvature invariants; horizon detection; dynamical black holes; weakly isolated horizons; dynamical horizons
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Funding
- NSERC of Canada
- Research Council of Norway, Toppforsk grant [250367]
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We introduce the concept of a geometric horizon, which is a surface distinguished by the vanishing of certain curvature invariants which characterize its special algebraic character. We motivate its use for the detection of the event horizon of a stationary black hole by providing a set of appropriate scalar polynomial curvature invariants that vanish on this surface. We extend this result by proving that a non-expanding horizon, which generalizes a Killing horizon, coincides with the geometric horizon. Finally, we consider the imploding spherically symmetric metrics and show that the geometric horizon identifies a unique quasi-local surface corresponding to the unique spherically symmetric marginally trapped tube, implying that the spherically symmetric dynamical black holes admit a geometric horizon. Based on these results, we propose a suite of conjectures concerning the application of geometric horizons to more general dynamical black hole scenarios.
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