Hamiltonian cosmology and gravitational solitons: A variational outlook

Details Hamiltonian cosmology and gravitational solitons: A variational outlook Hamiltonian cosmology and gravitational solitons: A variational outlook

Dec 1982

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982phrvd..26.3354b&link_type=abstract

Physical Review D (Particles and Fields), Volume 26, Issue 12, 15 December 1982, pp.3354-3358

Physics

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Scientific paper

A general procedure is applied for finding the possible variational principle of a given nonlinear system of partial differential equations. In particular, attention is focused on Hamiltonian homogeneous cosmologies and gravitational solitons. In the first case, it is found that a variational principle exists if and only if the model is of class A, thus complementing previous results of MacCallum and Taub. In the second case, it is shown that the pertinent system arises from a variational principle; furthermore, the explicit form of the Lagrangian is given. Owing to the structure of the Lagrangian an outstanding first integral is determined.

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