Critical formation of trapped surfaces in the collision of gravitational shock waves

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dc.creatorAlvarez-Gaume, Luis
dc.creatorGomez, Cesar
dc.creatorVera, Agustin Sabio
dc.creatorTavanfar, Alireza
dc.creatorVazquez-Mozo, Miguel A.
dc.date2008-11-25
dc.date.accessioned2026-07-07T12:48:27Z
dc.date.available2026-07-07T12:48:27Z
dc.descriptionWe study the formation of marginally trapped surfaces in the head-on collision of two shock waves both in anti-de Sitter and Minkowski space-time in various dimensions as a function of the spread of the energy density in transverse space. For D=4 and D=5 it is shown that there exists a critical value of this spread above which no solution to the trapped surface equation is found. In four dimensions the trapped surface at criticality has a finite size, whereas in five the critical size vanishes. In both cases we find scaling relations characterized by critical exponents. Finally, when D>5 there is always a solution to the trapped surface equation for any transverse spread.
dc.description16 pages
dc.identifierhttps://arxiv.org/abs/0811.3969
dc.identifierhttp://arxiv.org/abs/0811.3969
dc.identifierJHEP 0902:009,2009
dc.identifierdoi:10.1088/1126-6708/2009/02/009
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/222055
dc.subjectHigh Energy Physics - Theory
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleCritical formation of trapped surfaces in the collision of gravitational shock waves
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