Dynamical Projective Curvature in Gravitation

Autor:	Brensinger, Samuel, Rodgers, Vincent G. J.
Rok vydání:	2017
Předmět:	High Energy Physics - Theory General Relativity and Quantum Cosmology Mathematics - Differential Geometry
Druh dokumentu:	Working Paper
DOI:	10.1142/S0217751X18502238
Popis:	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. Comment: 30 pages. Made revisions in accordance with International Journal of Modern Physics A for acceptance
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1712.05394 Zobrazit plný text záznamu View this record from Arxiv