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arxiv: 1712.05394 · v5 · submitted 2017-12-14 · ✦ hep-th · gr-qc· math.DG

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Dynamical Projective Curvature in Gravitation

Samuel Brensinger , Vincent G.J. Rodgers
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classification ✦ hep-th gr-qcmath.DG
keywords projectiveconnectionablecurvaturegravitationactionaffinearises
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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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