Dynamical Projective Curvature in Gravitation
High Energy Physics - Theory
2019-01-23 v5 General Relativity and Quantum Cosmology
Differential Geometry
Abstract
By using a projective connection over the space of two-dimensional affine connections, we are able to show that the metric interaction of Polyakov 2D gravity with a coadjoint element arises naturally through the projective Ricci tensor. Through the curvature invariants of Thomas-Whitehead, we are able to define an action that could describe dynamics to the projective connection. We discuss implications of the projective connection in higher dimensions as related to gravitation.
Cite
@article{arxiv.1712.05394,
title = {Dynamical Projective Curvature in Gravitation},
author = {Samuel Brensinger and Vincent G. J. Rodgers},
journal= {arXiv preprint arXiv:1712.05394},
year = {2019}
}
Comments
30 pages. Made revisions in accordance with International Journal of Modern Physics A for acceptance