Lagrangian and Hamiltonian formulation of spherical shell dynamics

J. Kijowska, G. Magli, D. Malafarina

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

Lagrangian and Hamiltonian descriptions of the dynamics of a self-gravitating matter shell in General Relativity are discussed in general. The case of a spherical shell composed of an elastic fluid is then considered, its Lagrangian function is derived from first principles and the Hamiltonian is calculated. Known results for dust shells are recovered as particular cases.

Original languageEnglish
Pages (from-to)887-894
Number of pages8
JournalInternational Journal of Geometric Methods in Modern Physics
Volume2
Issue number5
DOIs
Publication statusPublished - Oct 1 2005

Keywords

  • Boundary corrections
  • Hilbert action
  • Relativistic shell dynamics
  • Variational principles

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

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