On admissible motions in a given space-time |
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Authors: | Giacomo Caviglia Clara Zordan |
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Affiliation: | (1) Istituto Matematico dell'Università di Genova, Via L. B. Alberti, 4, 16132 Genova, Italy |
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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 , the expansion tensorK, and the four-accelerationC. In the present paper we examine the integrability conditions on the fields ,K, andC ensuring the existence of a four-velocity fieldV. |
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