Gravitational Lagrangian and internal symmetry

Details Gravitational Lagrangian and internal symmetry Gravitational Lagrangian and internal symmetry

Apr 1977

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977phrvd..15.2139l&link_type=abstract

Physical Review D (Particles and Fields), Volume 15, Issue 8, 15 April 1977, pp.2139-2143

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Scientific paper

The field equations of general relativity, when interpreted as a set of equations in a Riemannian manifold endowed with internal space at each point, are shown to be derived from a variational principle. The failures of other approaches to recover the full general-relativity theory are traced to the absence in their Lagrangians of direct coupling between space-time and internal structure. Examination of this observation sheds some light on the fundamental implications of the intimate relation between space-time covariance and internal symmetry.

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