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Limiting transitions in the Tolman solution of the equations of general relativity

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Abstract

The paper considers the limiting transitions to special relativity and the Newtonian theory of gravitation in the Tolman solutions of the Einstein equations. It is shown that elliptical systems do not have an analog in the special theory. The analogs for hyperbolic and parabolic systems are the noninertial Robertson and the special-theory inertial systems, respectively. It is shown that a transition to the Newtonian theory of gravitation can be made for any type of Tolman coordinate system.

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Additional information

Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 1, pp. 23–26, January, 1975.

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Korkina, M.P., Chernyi, L.M. Limiting transitions in the Tolman solution of the equations of general relativity. Soviet Physics Journal 18, 17–20 (1975). https://doi.org/10.1007/BF00889800

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Keywords

  • Coordinate System
  • General Relativity
  • Einstein Equation
  • Special Relativity
  • Elliptical System