Quantum creation of a universe with varying speed of light: Lambda-problem and instantons
May, 2005
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Abstract:
In quantum cosmology the closed universe can spontaneously nucleate out of the state with no classical space and time. The semiclassical tunneling nucleation probability can be estimated as \emph{P}\sim\exp(-\alpha^2/\Lambda) where =const and is the cosmological constant. In classical cosmology with varying speed of light (VSL) it is possible to solve the horizon problem, the flatness problem and the -problem if with =const and . We show that in VSL quantum cosmology with the semiclassical tunneling nucleation probability is \emph{P}\sim\exp(-\beta^2\Lambda^k) with =const and . Thus, the semiclassical tunneling nucleation probability in VSL quantum cosmology is very different from that in quantum cosmology with =const. In particular, it can be strongly suppressed for large values of . In addition, we propose the instanton which describes the nucleation of closed universes in VSL models. This solution is akin to the Hawking-Turok instanton in the means of O(4) invariance but, unlike to it, is non-singular. Moreover, using this solution we can obtain the probability of nucleation which is suppressed for large value of too.- 98.80.Cq
- 98.80.-k
- quantum cosmology
- photon: velocity
- varying speed of light
- cosmological constant
- tunneling: semiclassical
- Wheeler-DeWitt equation
- ground state
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