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Schwarzschild Interior Solution in an Isotropic Coordinate System

Max Wyman

  • University of Alberta, Edmonton, Alberta, Canada

Phys. Rev. 70, 74 – Published 1 July, 1946

DOI: https://doi.org/10.1103/PhysRev.70.74

Abstract

The relativistic equations for the case of a sphere of perfect fluid of constant density are solved when an isotropic coordinate system is used. It is again found that a sphere of given density has upper bounds on its mass and radius but that these upper bounds are smaller than those given by the ordinary Schwarzschild solution.

References (4)

  1. R. C. Tolman, Relativity, Thermodynamics and Cosmology (Clarendon Press, Oxford, 1934), pp. 245-247
  2. A. S. Eddington, Mathematical Theory of Relativity (Cambridge University Press. New York, 1923), pp. 93-95
  3. R. C. Tolman, [1], pp. 242-243
  4. A. S. Eddington, [2], p. 170

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