Hamiltonian treatment of collapsing thin shells in Lanczos-Lovelock theories

Juan Crisóstomo, Sergio Del Campo, Joel Saavedra

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Abstract

The Hamiltonian treatment for the collapse of thin shells for a family of Lanczos-Lovelock theories is studied. This formalism allows us to carry out a concise analysis of these theories. It is found that the black holes solution can be created by collapsing a thin shell. Naked singularities cannot be formed by this mechanism. Among the different Lanczos-Lovelock theories, the Chern-Simons theory corresponds to an exceptional case, because naked singularities can emerge from the collapse of a thin shell. This kind of theory does not possess a gravitational self-interaction analogous to the Newtonian case.

Original languageEnglish
Article number064034
Pages (from-to)064034-1-064034-8
JournalPhysical Review D
Volume70
Issue number6
DOIs
StatePublished - Sep 2004
Externally publishedYes

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