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arxiv: hep-th/0311259 · v3 · submitted 2003-11-26 · ✦ hep-th · gr-qc

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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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classification ✦ hep-th gr-qc
keywords theoriesthinlanczos-lovelockcasecollapsecollapsinghamiltoniannaked
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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'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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  1. Rotating Thin Shells in Einstein-Gauss-Bonnet Gravity

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    Rotating thin shells in EGB gravity are either vacuum or carry pressure in one tangential direction only, with motion equations resembling GR continuity; vacuum shells can collapse to naked singularities or form stabl...