On the inertial-gravitational field
Abstract
The paper sets forth a theory for studying the properties of space-time 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 skew-symmetric tensor appearing in these equations is interpreted as the 4-strength of a hypothetical inertial-gravitational vector field. Normal and nonnormal congruence of world-lines is discussed, and equations of the inertial-gravitational field are derived from variational principles.
- Publication:
-
Acta Physica
- Pub Date:
- 1976
- Bibcode:
- 1976AcPhy..41..153R
- Keywords:
-
- Gravitation Theory;
- Inertia;
- Relativity;
- Space-Time Functions;
- Equations Of Motion;
- Gravitational Fields;
- Hyperspaces;
- Variational Principles;
- Astrophysics