Abstract
We study the formation of marginally trapped surfaces in the head-on collision of two shock waves in anti-de Sitter space-time. We compare the obtained results with the corresponding results for de Sitter space-time. To clarify this comparison, we use coordinates that allow studying AdS/dS cases in a universal way. We also analyze the dependence of the area of the trapped surface on the choice of the regularization of the shock wave metric.
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 161, No. 3, pp. 382–399, December, 2009.
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Aref’eva, I.Y., Bagrov, A.A. Formation of trapped surfaces in the collision of nonexpanding gravitational shock waves in an AdS4 space-time. Theor Math Phys 161, 1647–1662 (2009). https://doi.org/10.1007/s11232-009-0152-x
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DOI: https://doi.org/10.1007/s11232-009-0152-x