Abstract
When we study spherically symmetric distributions of non-charged, perfect fluid in general relativity, a general expression giving the metric can be obtained under the assumption that the space-time is conformally flat. Formulae for the metric, matter density and pressure are given in isotropic coordinates.
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References
Kuchowicz, B. (1971).Acta Physica Polonica,B2, 657; here references to numerous other papers may be found.
Schwarzschild, K. (1916).Sitzungsberichte der Preussischen Akademie der Wissenschaften zu Berlin, 424.
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Kuchowicz, B. Conformally flat space-time of spherical symmetry in isotropic coordinates. Int J Theor Phys 7, 259–262 (1973). https://doi.org/10.1007/BF00798296
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DOI: https://doi.org/10.1007/BF00798296