Space tensors in general relativity II: Physical applications |
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Authors: | Enrico Massa |
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Institution: | (1) Istituto Matematico dell'Università di Genova, Via L.B. Alberti 4, 16132 Genova, Italy |
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Abstract: | The general theory of space tensors is applied to the study of a space-time manifoldsV
4 carrying a distinguished time-like congruence Γ. The problem is to determine a physically relevant spatial tensor analysis
over (V
4, Γ), in order to proceed to a correct formulation of Relative Kinematics and Dynamics.
This is achieved by showing that each choice of
gives rise to a corresponding notion of ‘frame of reference’ associated with the congruence Γ. In particular, the frame of
reference (Γ, ∇*) determined by the standard spatial tensor analysis
is shown to provide the most natural generalization of the concept of frame of reference in Classical Physics.
The previous arguments are finally applied to the study of geodesic motion inV
4. As a result, the general structure of the gravitational fields in the frame of reference (Γ, ∇*) is established.
This work was assisted by funds from the C.N.R. under the aegis of the activity of the National Group for Mathematical Physics. |
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Keywords: | |
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