 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 13288 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8164
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| In English (Mech. Solids): | | 5124 |
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| V.V. Vasiliev and L.V. Fedorov, "Mechanics of Solids in Non-Orthogonal Space-Time," Mech. Solids. 60 (4), 2370-2375 (2025) |
| Year |
2025 |
Volume |
60 |
Number |
4 |
Pages |
2370-2375 |
| DOI |
10.1134/S0025654425700013 |
| Title |
Mechanics of Solids in Non-Orthogonal Space-Time |
| Author(s) |
V.V. Vasiliev (Central Research Institute of Special Engineering, JSC, Khotkovo, Moscow Region, 141371 Russia, vvvas@dol.ru)
L.V. Fedorov (JSC MIC “NPO Mashinostroyeniya,” Reutov, Moscow Region, 143966 Russia) |
| Abstract |
The paper is concerned with derivation and application of basic equations of solid mechanics in the special coordinate frame in which the space and the time coordinate axes are not orthogonal.
In this frame, the object velocity, in principle, cannot reach the velocity of light. The equations which
generalize the classical Lorentz transformations in special relativity are obtained. They demonstrate
that, in contrast to the classical theory, the length of the line element cannot become zero and the body
mass cannot become infinitely high. As application, the general relativity spherically symmetric problem of gravitational collapse and expansion is considered. The external solution for an empty space and
the internal solution for a pressure-free sphere are obtained in the proposed non-orthogonal coordinate frame. |
| Keywords |
non-orthogonal coordinates, Lorentz formulas, spherically symmetric problem of relativistic mechanics |
| Received |
04 March 2025 | Revised |
20 March 2025 | Accepted |
21 March 2025 |
| Link to Fulltext |
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