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

J. Crisostomo·S. del Campo·J. 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'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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J. Crisostomo, S. del Campo, J. Saavedra. 2004-08-30. Hamiltonian treatment of Collapsing Thin Shells in Lanczos-Lovelock's theories. https://doi.org/10.1103/physrevd.70.064034

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