Brans-Dicke theory of gravity with torsion: A possible solution of the $\omega$-problem

Abstract

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. The substitution of the torsion solutions back to our action gives the original Brans-Dicke action with $\Phi$-dependent Brans-Dicke parameter $\omega (\Phi )$. The evolution of $\omega (\Phi )$ during the inflation is studied and it is found that $\omega$ approaches to infinity at the end of inflation. This may solve the $\omega$-problem in the extended inflation model.

arXiv comment6 pages, 1 figure, English grammars are corrected, Accepted by Physical Review D

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• Modified Brans-Dicke Theory in Arbitrary Dimensions
• Noncommutative minisuperspace, gravity-driven acceleration and kinetic inflation
• Stability of the Einstein static Universe in Einstein-Cartan-Brans-Dicke gravity
• A nonminimally coupled Einstein-Maxwell model in a non-Riemann space-time with torsion
• Gravitational Collapse without Singularity Formation in Brans-Dicke Theory
• Teleparallel Gravity in Five Dimensional Theories