Scale-covariant theory of gravitation and astrophysical applications

Details Scale-covariant theory of gravitation and astrophysical applications Scale-covariant theory of gravitation and astrophysical applications

Sep 1977

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977phrvd..16.1643c&link_type=abstract

Physical Review D - Particles and Fields, 3rd Series, vol. 16, Sept. 15, 1977, p. 1643-1663. Research supported by the National

Astronomy and Astrophysics

Astrophysics

165

Astrophysics, Gravitation Theory, Gravitational Fields, Scalars, Astronomical Models, Cosmology, Covariance, Orbit Calculation, Stellar Models, Transformations (Mathematics)

Scientific paper

A scale-covariant theory of gravitation is presented which is characterized by a set of equations that are complete only after a choice of the scale function is made. Special attention is given to gauge conditions and units which allow gravitational phenomena to be described in atomic units. The generalized gravitational-field equations are derived by performing a direct scale transformation, by extending Riemannian geometry to Weyl geometry through the introduction of the notion of cotensors, and from a variation principle. Modified conservation laws are provided, a set of dynamical equations is obtained, and astrophysical consequences are considered. The theory is applied to examine certain homogeneous cosmological solutions, perihelion shifts, light deflections, secular variations of planetary orbital elements, stellar structure equations for a star in quasi-static equilibrium, and the past thermal history of earth. The possible relation of the scale-covariant theory to gauge field theories and their predictions of cosmological constants is discussed.

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