On the inertialgravitational field
Abstract
The paper sets forth a theory for studying the properties of spacetime by investigating the properties of the geodesic motion of a cloud of noninteracting identifiable test particles (a noncoherent fluid). The foundation of the theory is the geodesic principle. Geodesic equations of the second kind, i.e., the degenerate Lorentz type equations of motion, are used. The skewsymmetric tensor appearing in these equations is interpreted as the 4strength of a hypothetical inertialgravitational vector field. Normal and nonnormal congruence of worldlines is discussed, and equations of the inertialgravitational field are derived from variational principles.
 Publication:

Acta Physica
 Pub Date:
 1976
 Bibcode:
 1976AcPhy..41..153R
 Keywords:

 Gravitation Theory;
 Inertia;
 Relativity;
 SpaceTime Functions;
 Equations Of Motion;
 Gravitational Fields;
 Hyperspaces;
 Variational Principles;
 Astrophysics