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We study the Brans-Dicke theory of gravity in Riemann-Cartan space-times, and obtain general torsion solutions, which are completely determined by Brans-Dicke scalar field $\Phi$, in the false vacuum energy dominated epoch.
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In PGT, { e a } \{e^{a}\} and { ω a } b \{\omega^{a}{{}_{b}}\} are identified as local translation and rotation gauge potentials
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The explicit expression of the prefactor A A has been obtained in flat space-time [ 14 ] , but it is difficult to calculate when gravitational effects are included [ 15 ]
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One can image that if too many large bubbles, which have size larger than horizon scale l D l_{D} at the photon-electron decoupling epoch, exist at the end of inflation, the Universe will not complete its thermalization at recommendation epoch so these bubbles should break the nearly isotropic spectrum of CMB
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