Variational principles in cosmology

Details Variational principles in cosmology Variational principles in cosmology

Feb 1980

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980ncimb..55..161j&link_type=abstract

Nuovo Cimento B, Serie 11, vol. 55B, Feb. 11, 1980, p. 161-172.

Physics

10

Cosmology, Variational Principles, Einstein Equations, Hamiltonian Functions, Lagrange Coordinates, Lie Groups, Space-Time Functions

Scientific paper

The difficulties with the application of Lagrangian or Hamiltonian formulations to spatially homogeneous cosmology are examined from a new point of view and a simple explanation is given for the necessary modifications of those formulations. A rather natural restriction on the shift vector field freedom minimizes the extent of the required modifications, leaving the dynamical Einstein equations in the form of a Lagrangian/Hamiltonian system driven by a nonpotential force. The symmetry group of this classical mechanical system is a representation of the diffeomorphism group corresponding to the restricted class of shift vector fields.

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