Hamiltonian treatment of collapsing thin shells in Lanczos-Lovelock theories

Juan Crisóstomo, Sergio del Campo, JOEL FRANCISCO SAAVEDRA ALVEAR

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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
Number of pages1
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Issue number6
StatePublished - 1 Jan 2004

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