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- W1633414100 abstract "We consider a universe with a positive effective cosmological constant and a nonminimally coupled scalar field. When the coupling constant is negative, the scalar field exhibits linear growth at asymptotically late times, resulting in a decaying effective cosmological constant. The Hubble rate in the Jordan frame reaches a self-similar solution, $H=1/(epsilon t)$, where the principal slow roll parameter $epsilon$ depends on $xi$, reaching maximally $epsilon=2$ (radiation era scaling) in the limit when $xirightarrow -infty$. Similar results are found in the Einstein frame (E), with $H_E=1/(epsilon_E t)$, but now $epsilon_E rightarrow 4/3$ as $xirightarrow -infty$. Therefore in the presence of a nonminimally coupled scalar de Sitter is not any more an attractor, but instead (when $xi 4/3$ at a rate $Gammagg H$, the scaling changes to that of matter, $epsilonrightarrow epsilon_m$, and the energy density in the effective cosmological becomes a fixed fraction of the matter energy density, $M_{rm P}^2Lambda_{Erm eff}/rho_m={rm constant}$, exhibiting thus an attractor behavior. While this may solve the (old) cosmological constant problem, it does not explain dark energy. Provided one accepts tuning at the $1%$ level, the vacuum energy of neutrinos can explain the observed dark energy." @default.
- W1633414100 created "2016-06-24" @default.
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- W1633414100 date "2015-04-02" @default.
- W1633414100 modified "2023-09-27" @default.
- W1633414100 title "Nonminimal coupling and the cosmological constant problem" @default.
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