Further Extended Theories of Gravitation: Part II

Abstract

We shall present and analyze two examples of extended theories of gravitation in Palatini formalism with matter that couples to the connection. This will show that the class of Further Extended Theories of Gravitation introduced in ref. [1] does not trivially reduce to f(R) models. It will also produce an example of theory that on-shell endowes spacetime with a non-trivial Weyl geometry where the connection is not induced by the metric structure (though it is compatible with it in the sense of Ehlers-Pirani-Schild; see ref. [2]).

Some refs added

References in corpus (4)

• Extended Theories of Gravity and their Cosmological and Astrophysical Applications
• Metric-affine f(R) theories of gravity
• A no-go theorem for polytropic spheres in Palatini f(R) gravity
• From Dark Energy and Dark Matter to Dark Metric

Cited by in corpus (7)

• Palatini Approach to Modified Gravity: f(R) Theories and Beyond
• New Spherically Symmetric Solutions in f(R)-gravity by Noether Symmetries
• 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
• Matter Lagrangians Coupled with Connections
• Extended Cosmologies