Abstract
We construct an effective four-dimensional model by compactifying a ten-dimensional theory of gravity coupled with a real scalar dilaton field on a time-dependent torus. This approach is applied to anisotropic cosmological Bianchi type I model for which we study the classical coupling of the anisotropic scale factors with the two real scalar moduli produced by the compactification process. Under this approach, we present an isotropization mechanism for the Bianchi I cosmological model through the analysis of the ratio between the anisotropic parameters and the volume of the Universe which in general keeps constant or runs into zero for late times. We also find that the presence of extra dimensions in this model can accelerate the isotropization process depending on the momenta moduli values. Finally, we present some solutions to the corresponding Wheeler-DeWitt (WDW) equation in the context of standard quantum cosmology.
Highlights
We construct an effective four-dimensional model by compactifying a ten-dimensional theory of gravity coupled with a real scalar dilaton field on a time-dependent torus. This approach is applied to anisotropic cosmological Bianchi type I model for which we study the classical coupling of the anisotropic scale factors with the two real scalar moduli produced by the compactification process
The 2015 release of Planck data has provided a detailed map of cosmic microwave background (CMB) temperature and polarization allowing us to detect deviations from an isotropic early Universe [1]
The evidence given by these data leads us to the possibility of considering that there is no exact isotropy, since there exist small anisotropy deviations of the CMB radiation and apparent large angle anomalies
Summary
The 2015 release of Planck data has provided a detailed map of cosmic microwave background (CMB) temperature and polarization allowing us to detect deviations from an isotropic early Universe [1]. Advances in High Energy Physics modulos (for instance, by assuming that it is already stabilized by the presence of a string field in higher scales) This will allow us to construct classical effective models with two moduli. We study the Hilbert space of quantum states on a Bianchi I geometry with two time-dependent scalar moduli derived from a ten-dimensional effective action containing the dilaton and the Kahler parameter from a six-dimensional torus compactification. Using the classical solutions found in previous sections, we present an isotropization mechanism for the Bianchi I cosmological model, through the analysis of the ratio between the anisotropic parameters and the volume of the Universe, showing that, in all the cases we have studied, its value keeps constant or runs into zero for late times.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
