On admissible motions in a given space-time.
Abstract
Given the four-velocityV describing the motion of a continuous medium, the covariant derivativeg(V) may be uniquely decomposed in terms of the vorticity tensor Ω, the expansion tensorK, and the four-accelerationC. In the present paper we examine the integrability conditions on the fields Ω,K, andC ensuring the existence of a four-velocity fieldV.
- Publication:
-
General Relativity and Gravitation
- Pub Date:
- December 1979
- DOI:
- 10.1007/BF00759278
- Bibcode:
- 1979GReGr..11..357C
- Keywords:
-
- Field Theory (Physics);
- Kinematics;
- Relativity;
- Space-Time Functions;
- Tensor Analysis;
- Continuum Mechanics;
- Group Velocity;
- Partial Differential Equations;
- Astrophysics;
- Relativistic Astrophysics;
- Gravitation Theory;
- Background Radiation;
- Black Holes