Scalar-metric and scalar-metric-torsion gravitational theories

Details Scalar-metric and scalar-metric-torsion gravitational theories Scalar-metric and scalar-metric-torsion gravitational theories

Jun 1977

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977phrvd..15.3507a&link_type=abstract

Physical Review D - Particles and Fields, 3rd Series, vol. 15, June 15, 1977, p. 3507-3512. Research supported by the National R

Physics

12

Gravitation Theory, Metric Space, Scalars, Torsion, Dimensional Analysis, Einstein Equations, Euler-Lagrange Equation, Field Theory (Physics), Theoretical Physics

Scientific paper

The techniques of dimensional analysis and of the theory of tensorial concomitants are employed to study field equations in gravitational theories which incorporate scalar fields of the Brans-Dicke type. Within the context of scalar-metric gravitational theories, a uniqueness theorem for the geometric (or gravitational) part of the field equations is proven, and a Lagrangian is determined which is uniquely specified by dimensional analysis. Within the context of scalar-metric-torsion gravitational theories a uniqueness theorem for field Lagrangians is presented, and the corresponding Euler-Lagrange equations are given. Finally, an example of a scalar-metric-torsion theory is presented which is similar in many respects to the Brans-Dicke theory and the Einstein-Cartan theory.

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