Further Extended Theories of Gravitation: Part II

Details Further Extended Theories of Gravitation: Part II Further Extended Theories of Gravitation: Part II

2009-11-15

arxiv.org/abs/0911.2842v2

Int.J.Geom.Meth.Mod.Phys.7:899-906,2010

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Some refs added

Scientific paper

10.1142/S0219887810004609

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]).

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