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.

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

References in corpus (5)

• Gravity Probe B: Final Results of a Space Experiment to Test General Relativity
• Constraints on Torsion from Lorentz Violation
• Torsion Cosmology and the Accelerating Universe
• Cosmological dynamics with propagating Lorentz connection modes of spin zero
• Inflation in $R+R^2$ Gravity with Torsion

Cited by in corpus (4)

• 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
• Gravitational Collapse without Singularity Formation in Brans-Dicke Theory