Title

Kaluza-Klein Theory with Torsion Confined to the Extra-Dimension

Author(s)/Creator(s)

Karthik H. Shankar, Syracuse University
Kameshwar C. Wali, Syracuse UniversityFollow

Document Type

Article

Date

4-2-2010

Keywords

general relativity and quantum cosmology, cosmology and extragalactic astrophysics, high energy physics-theory

Language

English

Disciplines

Physics

Description/Abstract

Here we consider a variant of the 5 dimensional Kaluza-Klein theory within the framework of Einstein-Cartan formalism that includes torsion. By imposing a set of constraints on torsion and Ricci rotation coefficients, we show that the torsion components are completely expressed in terms of the metric. Moreover, the Ricci tensor in 5D corresponds exactly to what one would obtain from torsion-free general relativity on a 4D hypersurface. The contributions of the scalar and vector elds of the standard K-K theory to the Ricci tensor and the affine connections are completely nulli ed by the contributions from torsion. As a consequence, geodesic motions do not distinguish the torsion free 4D space-time from a hypersurface of 5D space-time with torsion satisfying the constraints. Since torsion is not an independent dynamical variable in this formalism, the modi ed Einstein equations are di erent from those in the general Einstein-Cartan theory. This leads to important cosmological consequences such as the emergence of cosmic acceleration.

Additional Information

This manuscript is from arXiv.org, more information is located at http://arxiv.org/abs/0904.4038

Recommended Citation

arXiv:0904.4038v2

Source

harvested from arXiv.org

Creative Commons License

This work is licensed under a Creative Commons Attribution 3.0 License.