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arXiv · 1712.05394

Dynamical Projective Curvature in Gravitation

Samuel Brensinger·Vincent G. J. Rodgers
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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.

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Samuel Brensinger, Vincent G. J. Rodgers. 2017-12-14. Dynamical Projective Curvature in Gravitation. https://doi.org/10.1142/s0217751x18502238

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