Astronomy and Astrophysics – Astrophysics
Scientific paper
1999-06-07
Phys.Lett. B459 (1999) 468-472
Astronomy and Astrophysics
Astrophysics
4 LaTeX pages, no figures. To appear in Phys. Lett. B
Scientific paper
10.1016/S0370-2693(99)00694-2
We propose a new generalisation of general relativity which incorporates a variation in both the speed of light in vacuum (c) and the gravitational constant (G) and which is both covariant and Lorentz invariant. We solve the generalised Einstein equations for Friedmann universes and show that arbitrary time-variations of c and G never lead to a solution to the flatness, horizon or $\Lambda$ problems for a theory satisfying the strong energy condition. In order to do so, one needs to construct a theory which does not reduce to the standard one for any choice of time, length and energy units. This can be achieved by breaking a number of invariance principles such as covariance and Lorentz invariance.
Avelino Pedro P.
Martins Carlos J. A. P.
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