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$$

(\bar L_n ,g)

$$

-spaces] as velocities and accelerations of flows of mass elements (particles) moving in space-time. It is shown that these types of velocities and accelerations are generated by the relative motions between the mass elements. They are closely related to the kinematic characteristics of the relative velocity and relative acceleration. The centrifugal (centripetal) velocity is found to be in connection with the Hubble law. The centrifugal (centripetal) acceleration could be interpreted as gravitational acceleration as has been done in the Einstein theory of gravitation. This fact could be used as a basis for workingout new gravitational theories in spaces with affine connections and metrics.

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669-694

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published

1 - 12 - 2003

online

1 - 12 - 2003

Contributors

author

- Department of Theoretical Physics, Institute for Nuclear Research and Nuclear Energy, Blvd. Tzarigradsko Chaussee 72, 1784, Sofia, Bulgaria

References

- [1] S. Manoff: “Mechanics of continuous media in \( (\bar L_n ,g) \) -spaces. 1. Introduction and mathematical tools”, (Preprint gr-qc/0203016), 2002.
- [2] S. Manoff: “Mechanics of continuous media in \( (\bar L_n ,g) \) -spaces. 2. Relative velocity and deformations”, (Preprint gr-qc /0203017), 2002.
- [3] S. Manoff: “Mechanics of continuous media in \( (\bar L_n ,g) \) -spaces. 3. Relative accelerations”, (Preprint gr-qc /0204003), 2002.
- [4] S. Manoff: “Mechanics of continuous media in \( (\bar L_n ,g) \) -spaces. 4. Stress (tension) tensor”, (Preprint gr-qc /0204004), 2002.
- [5] H. Stephani: Allgemeine Relativilaetstheorie, VEB Deutscher Verlag d. Wissenschaften, Berlin, 1977.
- [6] J. Ehlers: “Beitraege zur relativistischen Mechanik kontinuierlicher Medien”, Abhandlungen d. Mainzer Akademie d. Wissenschaften, Math.-Naturwiss. Kl. Vol. 11, (1961), pp. 792–837.
- [7] Cl. Laemmerzahl: “A Characterisation of the Weylian structure of Space-Time by Means of Low Velocity Tests”, (Preprint gr-qc /0103047), 2001.
- [8] R. L. Bishop, S. I. Goldberg: Tensor Analysis on Manifolds, The Macmillan Company, New York, 1968.
- [9] S. Manoff: “Kinematics of vector fields”, In: World Scientific (Ed.): Complex Structures and Vector Fields, Singapore, 1995, pp. 61–113.
- [10] S. Manoff: “Spaces with contravariant and covariant affine connections and metrics”, Phys. Part. Nuclei, Vol. 30, (1999) 5, pp. 527–49. http://dx.doi.org/10.1134/1.953117[Crossref]
- [11] S. Manoff: Geometry and Mechanics in Different Models of Space-Time: Geometry and Kinematics, Nova Science Publishers, New York, 2002.
- [12] S. Manoff: Geometry and Mechanics in Different Models of Space-Time: Dynamics and Applications, Nova Science Publishers, New York, 2002.
- [13] S. Manoff: “Einstein's theory of gravitation as a Lagrangian theory for tensor fields”, Intern. J. Mod. Phys, Vol. A 13, (1998), pp. 1941–67. http://dx.doi.org/10.1142/S0217751X98000846[Crossref]
- [14] S. Manoff: “About the motion of test particles in an external gravitational field”, Exp. Technik der Physik, Vol. 24, (1976), pp. 425–431.
- [15] Ch. W. Misner, K.S. Thorne, J.A. Wheeler: Gravitation, W.H. Freeman and Company, San Francisco, 1973.
- [16] S. Manoff: “Flows and particles with shear-free and expansion-free velocities in (L n, g)- and Weyl's spaces”, Clas. Quantum Grav., Vol. 19, (2002), pp. 4377–98, (Preprint gr-qc/0207060). http://dx.doi.org/10.1088/0264-9381/19/16/311
- [17] S. Manoff: “Centrifugal (centripetal), Coriolis' velocities, accelerations and Hubble's law in spaces with affine connections and metrics”, (Preprint gr-qc/0212038), 2002.

Document Type

Publication order reference

Identifiers

YADDA identifier

bwmeta1.element.-psjd-doi-10_2478_BF02475910