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

AuthorsÁlvarez-Gaumé, Luis; Gómez, César ; Sabio Vera, Agustín ; Tavanfar, Alireza; Vázquez-Mozo, Miguel A.
KeywordsBlack Holes
Classical Theories of Gravity
Spacetime Singularities
Issue Date4-Feb-2009
PublisherInstitute of Physics Publishing
International School for Advanced Studies
CitationJournal of High Energy Physics 02(009): (2009)
AbstractWe 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.
Description14 pages.-- Pre-print archive.
Publisher version (URL)http://dx.doi.org/10.1088/1126-6708/2009/02/009
Appears in Collections:(IFT) Artículos
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