A nonminimal approach for the cosmological constant problem

Physics – Nuclear Physics

Scientific paper

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Scientific paper

In a theory where the cosmological constant is taken to be variable and where a nonminimal coupling of the form ξθ2R is considered, the wave function of the Universe can be used to get a bound on the value of the cosmological constant. It is shown that an upper limit exists for its present value, given by Λ < (θi/θp)2.10-120 MPl4. The factor (θi/θp)2 appearing in this upper bound is, in some sense, related to the claim achieved in the Baum-Coleman-Hawking mechanism in which the probability distribution not only determines the vanishing of the cosmological constant but also a minimum value (different from zero) for the gravitational constant.
I am grateful to A. Romero for drawing assistance.

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