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Hamiltonian treatment of the gravitational collapse of thin shells

2003/11/30 by Juan Crisostomo, Juan Crisóstomo, Rodrigo Olea · 1 citation
Physics and Astronomy · #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #hep-th

paper · pdf · doi:10.1103/physrevd.69.104023

published as Phys.Rev. D69 (2004) 104023 · 20 pages,1 figure, CECS style. Accepted for publication in Physical Review D

arxiv created 2004/03/26 · openalex publication_date 2004/05/24 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A Hamiltonian treatment of the gravitational collapse of thin shells is presented. The direct integration of the canonical constraints reproduces the standard shell dynamics for a number of known cases. The formalism is applied in detail to three-dimensional spacetime and the properties of the (2+1)-dimensional charged black hole collapse are further elucidated. The procedure is also extended to deal with rotating solutions in three dimensions. The general form of the equations providing the shell dynamics implies the stability of black holes, as they cannot be converted into naked singularities by any shell collapse process.

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