Matter creation in VSL theory

Mathematics – Logic

Scientific paper

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Scientific paper

Recent observations of distant quasars have indicated a variation of the fine structure constant with cosmic time. This has motivated the appearance of several theories where ones consider a time varying speed of light (VSL). In this work we investigate matter creation in the context of two types of VSL cosmologies. In the first the speed of light has a power law dependence on the scale factor c(t)µa-p and in the second it depends upon Hubble parameter c(t)µHq. For a Friedmann-Robertson-Walker line element we write the energy conservation law arising from Einstein field equations and study how particles are created as c changes with cosmic epoch. We show that, for the speed of light decreasing with time and if the cosmological constant does not depend on time, energy is conserved if Wm = 1/2. We also show that the second law of thermodynamics demands that Wm £ 1/2 if there is no particle creation. This result also holds if we have an adiabatic creation process. In this case, and for a flat (k = 0) universe, the cosmological constant has to be non-zero otherwise it would violate the second law. Finally, we calculate the present particle creation rate due to the decay of the speed of light. For cµa-p one has y0@2.6pn0H0 and for cµHq it gives y0@1.17qn0H0 for the present value of the matter and cosmological constant density parameter equal 0.3 and 0.7, respectively.

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