Lagrangian and Hamiltonian formulation of spherical shell dynamics

J. Kijowska; G. Magli; D. Malafarina

doi:10.1142/S021988780500082X

Lagrangian and Hamiltonian formulation of spherical shell dynamics

J. Kijowska, G. Magli, D. Malafarina

Department of Physics

Research output: Contribution to journal › Article

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 language	English
Pages (from-to)	887-894
Number of pages	8
Journal	International Journal of Geometric Methods in Modern Physics
Volume	2
Issue number	5
DOIs	https://doi.org/10.1142/S021988780500082X
Publication status	Published - 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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10.1142/S021988780500082X

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Kijowska, J., Magli, G., & Malafarina, D. (2005). Lagrangian and Hamiltonian formulation of spherical shell dynamics. International Journal of Geometric Methods in Modern Physics, 2(5), 887-894. https://doi.org/10.1142/S021988780500082X

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