A. N. Lasenby, C. J. L. Doran and S. F. Gull.
Cosmological Consequences of a Flat-Space Theory of Gravity
In F. Brackx and R. Delanghe, editors, Clifford Algebras and their Applications in Mathematical Physics. Deinze 1993 (Kluwer Academic, Dordrecht, 1993), p. 387-396.
Abstract: In the preceding paper we described some aspects of a new theory of gravity, and found radially-symmetric static solutions to the free-field equations. Here we apply the theory to the universe on the largest scales by investigating the consequences of spatial homogeneity. A guiding principle for our theory is that spacetime itself does not play an active role in physics. This means that spacetime cannot be thought of as expanding, and we show also that material test particles do not expand away from each other. Nevertheless, we do predict the observed galactic redshifts. Furthermore, we find that the only cosmological models compatible with complete spatial homogeneity are those at critical density.
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