We investigate the Yilmaz Cosmology by working out the Friedmann‐type equations generated by assuming the Cosmological metric for a flat space for the Yilmaz theory of gravitation. In the case of matter‐conserving Cosmologies we find the theory demands that the total energy density of the Cosmological fluid is zero. No configuration of vacuum radiation and inert matter can be found that is both compatible with this constraint and with observation. The steady‐state Cosmology may, however, be viable.
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Michael Ibison (2006) studied this question.