Variational principle for gravitational equations of the Bianchi identity type

Details Variational principle for gravitational equations of the Bianchi identity type Variational principle for gravitational equations of the Bianchi identity type

May 1979

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979gregr..10..547o&link_type=abstract

General Relativity and Gravitation, vol. 10, May 1979, p. 547-555.

Computer Science

4

Gravitation Theory, Relativity, Tensor Analysis, Variational Principles, Einstein Equations, Invariance, Metric Space, Vacuum

Scientific paper

It is shown that a square invariant of the Weyl conformal curvature tensor can lead to a Lagrangian in a variational principle for a vacuum gravitational equation of the Bianchi identity type which is compatible with the Einstein equation. Moreover, it is shown that such a Lagrangian implicitly includes a conformally invariant theory characterized by two gauge fields and the metric tensor.

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