Second-order equations from a second-order formalism
Copyright policy )Second-order equations from a second-order formalism
It is often assumed that Lagrangians of gravitation that are quadratic in the curvature tensor produce field equations of fourth differential order in the metric tensor from a Hilbert variational principle. It is shown here, for the Lagrangian given by R+RμνRμν, that independent variations of the metric tensor and the torsion tensor produce gravitational field equations of second, not fourth, differential order.
General relativity, torsion tensor, Applications of local differential geometry to the sciences, metric tensor, differential order, Lagrangians of gravitation, Variational principles of physics, field equations
General relativity, torsion tensor, Applications of local differential geometry to the sciences, metric tensor, differential order, Lagrangians of gravitation, Variational principles of physics, field equations
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