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REVIEW: On the Solutions of the Vacuum Cartan Equation in Metric Affine Gravity

2000/09/28 by R. Mignani, Roberto Mignani, Roberto Scipioni
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Affine connection #Affine transformation #Black Holes and Theoretical Physics #Connection (principal bundle) #Cosmology and Gravitation Theories #Differential geometry #Geometry #Mathematical analysis #Mathematical physics #Mathematics #Metric (unit) #Physics #Pure mathematics #TRACE (psycholinguistics) #gr-qc

paper · pdf · doi:10.1023/a:1010222015861

published as Gen.Rel.Grav. 33 (2001) 683-711 · To appear in General Relativity and Gravitation

arxiv created 2000/09/28 · openalex publication_date 2001/04/01 · arxiv updated 2015/06/25 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

In the Tucker-Wang approach to Metric Affine gravity we review some particular solutions of the Cartan equation for the non-riemannian part of the connection. As application we show how a quite general non Riemannian model gives a Proca type equation for the trace of the nonmetricity 1-forms Q.

Citations