Hamiltonian treatment of collapsing thin shells in Lanczos-Lovelock theories

Juan Crisóstomo, Sergio del Campo, and Joel Saavedra
Phys. Rev. D 70, 064034 – Published 22 September 2004

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 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.

  • Figure
  • Received 26 November 2003

DOI:https://doi.org/10.1103/PhysRevD.70.064034

©2004 American Physical Society

Authors & Affiliations

Juan Crisóstomo1,*, Sergio del Campo2,†, and Joel Saavedra2,‡

  • 1Departamento de Física, Facultad de Física y Matemáticas, Universidad Concepción, Casilla 160-C, Concepción, Chile
  • 2Instituto de Física, Facultad de Ciencias Básicas y Matemáticas, Pontificia Universidad Católica de Valparaíso, Avenida Brasil 2950, Valparaíso, Chile

  • *Email: jcrisost@gacg.cl
  • Email: sdelcamp@ucv.cl
  • Email: joelium@gacg.cl

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Issue

Vol. 70, Iss. 6 — 15 September 2004

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