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Cosmological test of the Yilmaz theory of gravity

Michael Ibison

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We test the Yilmaz theory of gravitation by working out the corresponding Friedmann-type equations generated by assuming the Friedmann–Robertson–Walker cosmological metrics. In the case that space is flat the theory is consistent only with either a completely empty universe or a negative energy vacuum that decays to produce a constant density of matter. In both cases the total energy remains zero at all times, and in the latter case the acceleration of the expansion is always negative. To obtain a more flexible and potentially more realistic cosmology, the equation of state relating the pressure and energy density of the matter creation process must be different from the vacuum, as for example is the case in the steady-state models of Gold, Bondi, Hoyle and others. The theory does not support the cosmological principle for curved space K ≠ 0 cosmological metrics.


PACS

04.20.-q Classical general relativity

98.80.Jk Mathematical and relativistic aspects of cosmology

MSC

83D05 Relativistic gravitational theories other than Einstein's, including asymmetric field theories

83F05 Cosmology

Subjects

Gravitation and cosmology

Astrophysics and astroparticles

Dates

Issue 3 (7 February 2006)

Received 31 May 2005, in final form 9 November 2005

Published 10 January 2006



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