Some solutions with torsion in Chern-Simons gravity and observable effects

TL;DR

This paper explores solutions with non-zero torsion in odd-dimensional Chern-Simons gravity, discusses potential observational effects like neutrino oscillations, and suggests applications in continuum media and astrophysics.

Contribution

It demonstrates the existence of torsion states in odd-dimensional Chern-Simons theories and links them to observable phenomena and applications.

Findings

Non-zero torsion states exist in all odd-dimensional Chern-Simons theories.

Potential effects on neutrino oscillations are identified.

Applications in continuum media and astrophysics are proposed.

Abstract

It is shown that in all odd dimensional Chern-Simons theories states in which the torsion is non zero (but it can approach smoothly to zero outside suitable regions) do exist. Some possible observational effects related to neutrino oscillations are pointed out. In the theory of continuum media (in which suitable defects can be described by localized non vanishing torsion) "the gravitational intuition" is a rather useful tool to describe the physical effects of such defects. A possible astrophysical application is shortly described.