Hamiltonian treatment of Collapsing Thin Shells in Lanczos-Lovelock's theories

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's 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.

12pp., One figure and some arguments on the effective potential added. Final version to appear in Phys.Rev.D

References in corpus (2)

• Hamiltonian Treatment of the Gravitational Collapse of Thin Shells
• Surface terms and the Gauss-Bonnet Hamiltonian

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