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

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

2003-11-26

arxiv.org/abs/hep-th/0311259v3

Phys.Rev.D70:064034,2004

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1103/PhysRevD.70.064034

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.

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