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Boundary-value problem for minimum surface in the three-dimensional Minkowski world

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Abstract

A system of two relativistic equations is derived to describe the plane motion of two identical bodies with a linear interaction potential. The boundary-value problem for the minimum surface in the Minkowski world leads to this system. The nonrelativistic limit is considered.

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Literature cited

  1. N. A. Chernikov and N. S. Shavokhina, JINR Preprint R2-10375, Dubna (1977).

  2. N. A. Chernikov and N. S. Shavokhina, JINR Preprint R2-11295, Dubna (1978).

  3. N. A. Chernikov and N. S. Shavokhina, JINR Preprint R2-12813, Dubna (1979).

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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 7, pp. 91–93, July, 1981.

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Shavokhina, N.S. Boundary-value problem for minimum surface in the three-dimensional Minkowski world. Soviet Physics Journal 24, 660–662 (1981). https://doi.org/10.1007/BF00893904

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  • DOI: https://doi.org/10.1007/BF00893904

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