Variational priciples and hamiltonian formulation of spherical shell dynamics

Jerzy Kijowski, Giulio Magli, Daniele Malafarina

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

A general approach to the hamiltonian description of thin shells of matter in General Relativity is duscussed. The system composed of an ideal fluid self-gravitating spherical shell is then analyzed and its lagrangian and hamiltonian functions are derived from first principles. For this purpose the standard Hilbert action is modified by an appropriate surface term at spatial infinity. Known results for the spherical dust shell are then recovered as a special case.

Original languageEnglish
Title of host publication11th Marcel Grossmann Meeting on Recent Developments in Theoretical and Experimental General Relativity, Gravitation and Relativistic Field Theories - Proc. of the MG11 Meeting on General Relativity
Pages2346-2348
Number of pages3
Publication statusPublished - 2008
Externally publishedYes
Event11th Marcel Grossmann Meeting on Recent Developments in Theoretical and Experimental General Relativity, Gravitation and Relativistic Field Theories, MG 2006 - Berlin, Germany
Duration: Jul 23 2006Jul 29 2006

Other

Other11th Marcel Grossmann Meeting on Recent Developments in Theoretical and Experimental General Relativity, Gravitation and Relativistic Field Theories, MG 2006
CountryGermany
CityBerlin
Period7/23/067/29/06

Fingerprint

Hamiltonian functions
ideal fluids
spherical shells
infinity
relativity
dust
formulations

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

Kijowski, J., Magli, G., & Malafarina, D. (2008). Variational priciples and hamiltonian formulation of spherical shell dynamics. In 11th Marcel Grossmann Meeting on Recent Developments in Theoretical and Experimental General Relativity, Gravitation and Relativistic Field Theories - Proc. of the MG11 Meeting on General Relativity (pp. 2346-2348)

Variational priciples and hamiltonian formulation of spherical shell dynamics. / Kijowski, Jerzy; Magli, Giulio; Malafarina, Daniele.

11th Marcel Grossmann Meeting on Recent Developments in Theoretical and Experimental General Relativity, Gravitation and Relativistic Field Theories - Proc. of the MG11 Meeting on General Relativity. 2008. p. 2346-2348.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Kijowski, J, Magli, G & Malafarina, D 2008, Variational priciples and hamiltonian formulation of spherical shell dynamics. in 11th Marcel Grossmann Meeting on Recent Developments in Theoretical and Experimental General Relativity, Gravitation and Relativistic Field Theories - Proc. of the MG11 Meeting on General Relativity. pp. 2346-2348, 11th Marcel Grossmann Meeting on Recent Developments in Theoretical and Experimental General Relativity, Gravitation and Relativistic Field Theories, MG 2006, Berlin, Germany, 7/23/06.
Kijowski J, Magli G, Malafarina D. Variational priciples and hamiltonian formulation of spherical shell dynamics. In 11th Marcel Grossmann Meeting on Recent Developments in Theoretical and Experimental General Relativity, Gravitation and Relativistic Field Theories - Proc. of the MG11 Meeting on General Relativity. 2008. p. 2346-2348
Kijowski, Jerzy ; Magli, Giulio ; Malafarina, Daniele. / Variational priciples and hamiltonian formulation of spherical shell dynamics. 11th Marcel Grossmann Meeting on Recent Developments in Theoretical and Experimental General Relativity, Gravitation and Relativistic Field Theories - Proc. of the MG11 Meeting on General Relativity. 2008. pp. 2346-2348
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