Hamiltonian formulation of spherical shell's dynamics from first principles

J. Kijowski, G. Magli, D. Malafarina

Research output: Contribution to journalArticlepeer-review


The Lagrangian function of self-gravitating spherically symmetric matter shells composed of an elastic fluid is derived from variational principles in the General Relativistic context. The natural Hamiltonian of the system, representing the total energy for a distant observer, is then calculated in terms of canonical variables. Known results for the dust case can be recovered.

Original languageEnglish
Pages (from-to)241-247
Number of pages7
JournalReports on Mathematical Physics
Issue number1-2
Publication statusPublished - Aug 1 2009


  • black holes
  • canonical relativity
  • general relativity
  • hamiltonian gravity
  • thin matter shells

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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