Abstract
It is shown that there do not exist spherically-symmetric conformaly-flat static solutions, in the self-creation cosmology proposed by Barber, representing disordered radiation and in the presence of source-free electromagnetic field except for the trivial empty flat space-time of Einstein's theory. The solution in the vacuum case is also only a flat space time of Einstein's theory.
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Reddy, D.R.K., Venkateswarlu, R. Nonexistence of static conformally-flat solutions in self-creation cosmology. Astrophys Space Sci 147, 115–119 (1988). https://doi.org/10.1007/BF00656611
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DOI: https://doi.org/10.1007/BF00656611