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Dynamical projective curvature in gravitation
Journal article   Peer reviewed

Dynamical projective curvature in gravitation

Samuel Brensinger and Vincent G. J Rodgers
International journal of modern physics. A, Particles and fields, gravitation, cosmology, Vol.33(36), p.1850223
12/30/2018
DOI: 10.1142/S0217751X18502238
url
https://arxiv.org/pdf/1712.05394View
Open Access

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 two-dimensional gravity with a coadjoint element arises naturally through the projective Ricci tensor. Through the curvature invariants of Thomas and 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.

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