Dynamical Projective Curvature in Gravitation

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.

arXiv comment30 pages. Made revisions in accordance with International Journal of Modern Physics A for acceptance

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Cited by in corpus (6)

• Dark Energy From Dynamical Projective Connections
• General structure of Thomas$-$Whitehead gravity
• Inflation from Dynamical Projective Connections
• Covariant and Manifestly Projective Invariant Formulation of Thomas-Whitehead Gravity
• Nöther Currents, Black Hole Entropy Universality and CFT Duality in Conformal Weyl Gravity
• Constraint Analysis and Quantization of Anomalous 2-D Thomas-Whitehead Gravity