Matter Lagrangians Coupled with Connections

Abstract

We shall here consider extended theories of gravitation in the metric-affine formalism with matter coupled directly to the connection. A sufficiently general procedure will be exhibited to solve the resulting field equation associated to the connection. As special cases one has the no-coupling case (which is standard in f(R) literature) as well as the cases already analyzed in ref.[1].

Refs added

References in corpus (4)

• Extended Theories of Gravity and their Cosmological and Astrophysical Applications
• Metric-affine f(R) theories of gravity
• From Dark Energy and Dark Matter to Dark Metric
• Further Extended Theories of Gravitation: Part II

Cited by in corpus (4)

• Palatini Actions and Quantum Gravity Phenomenology
• A further study on Palatini f(R)-theories for polytropic stars
• The physical foundations for the geometric structure of relativistic theories of gravitation. From General Relativity to Extended Theories of Gravity through Ehlers-Pirani-Schild approach
• Extended Gravity