Hamiltonian treatment of Collapsing Thin Shells in Lanczos-Lovelock's theories
High Energy Physics - Theory
2010-11-19 v3 General Relativity and Quantum Cosmology
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.
Keywords
Cite
@article{arxiv.hep-th/0311259,
title = {Hamiltonian treatment of Collapsing Thin Shells in Lanczos-Lovelock's theories},
author = {J. Crisostomo and S. del Campo and J. Saavedra},
journal= {arXiv preprint arXiv:hep-th/0311259},
year = {2010}
}
Comments
12pp., One figure and some arguments on the effective potential added. Final version to appear in Phys.Rev.D