Geodesic
Formation of trapped surfaces in the~collision of nonexpanding gravitational shock waves in an~$\text{AdS}_4$ space--time
Teoretičeskaâ i matematičeskaâ fizika, Tome 161 (2009) no. 3, pp. 382-399

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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.
Keywords: anti-de Sitter, trapped surfaces, shock wave collision, black hole. 
@article{TMF_2009_161_3_a6,
     author = {I. Ya. Aref'eva and A. A. Bagrov},
     title = {Formation of trapped surfaces in the~collision of nonexpanding gravitational shock waves in an~$\text{AdS}_4$ space--time},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {382--399},
     publisher = {mathdoc},
     volume = {161},
     number = {3},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2009_161_3_a6/}
}
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I. Ya. Aref'eva; A. A. Bagrov. Formation of trapped surfaces in the~collision of nonexpanding gravitational shock waves in an~$\text{AdS}_4$ space--time. Teoretičeskaâ i matematičeskaâ fizika, Tome 161 (2009) no. 3, pp. 382-399. http://geodesic.mathdoc.fr/item/TMF_2009_161_3_a6/