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A Note on Some General Solutions of the Einstein Field Equations in a Spherically Symmetric World

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REFERENCES

  1. R. C. Tolman, Relativity, Thermodynamics, and Cosmology, Oxford 1934, p. 252, formula (98.6).

  2. R. C. Tolman, p. 243, formula (95.8); cfr. too: G. Järnefelt, Das Einkörperproblem in dem sich ausdehnenden Raume der Einstein– De Sitter'schen Welt, Ann. Acad. Sc. Fenn., Ser. A, I., 12, 1942, p. 21.

  3. Cfr. G. Järnefelt, loc. cit., p. 21, formulae (40).

  4. G. C. McVittie, The Mass-Particle in an Expanding Universe, M. N. 93, 5, 1933, pp. 325–339.

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  5. G. C. McVittie, loc. cit., p. 329, formulae (10) and (11).

  6. M. Wyman, Schwarzschild Interior Solution in an Isotropic Coordinate System, Phys. Review, Vol. 70, Nr. 1-2, 1946, pp. 74-75.

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  7. Sophus Lie, Vorlesungen über Differentialgleichungen mit bekannten infinitesimalen Transformationen, Leipzig und Berlin, 1912, p. 363, Theorem 35.

  8. E. Kamke, Differentialgleichungen, Lösungsmethoden und Lösungen, I, Leipzig, 1943, p. 568, formula 6.101.

  9. R. C. Tolman, loc. cit., p. 369, formula (148.20).

  10. G. C. McVittie, loc. cit., p. 332, formula (29); cfr.: G. Järnefelt, Zum Einkörperproblem in dem sich ausdehnenden Raume, Ann. Acad, Sc. Fenn., Ser. A, Tom. LV, No. 3, 1940, p. 1, formula (1).

  11. G. C. McVittie, loc. cit., p. 333, formula (34). Printed March 1948.

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Authors
  1. Paul Kustaanheimo
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  2. Bertil Qvist
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Kustaanheimo, P., Qvist, B. A Note on Some General Solutions of the Einstein Field Equations in a Spherically Symmetric World. General Relativity and Gravitation 30, 663–673 (1998). https://doi.org/10.1023/A:1018882511219

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