Variational Priciples and Hamiltonian Formulation of Spherical Shell Dynamics

Details Variational Priciples and Hamiltonian Formulation of Spherical Shell Dynamics Variational Priciples and Hamiltonian Formulation of Spherical Shell Dynamics

Sep 2008

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008mgm..conf.2346k&link_type=abstract

"THE ELEVENTH MARCEL GROSSMANN MEETING On Recent Developments in Theoretical and Experimental General Relativity, Gravitation an

Computer Science

Scientific paper

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.

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