English

Extended Theories of Gravitation

General Relativity and Quantum Cosmology 2016-03-28 v1

Abstract

In this paper we shall review the equivalence between Palatinif(R)-f(\mathcal R) theories and Brans- Dicke (BD) theories at the level of action principles. We shall define the Helmholtz Lagrangian associated to Palatinif(R)-f(\mathcal R) theory and we will define some transformations which will be useful to recover Einstein frame and Brans-Dicke frame. We shall see an explicit example of matter field and we will discuss how the conformal factor affects the physical quantities.

Keywords

Cite

@article{arxiv.1601.04315,
  title  = {Extended Theories of Gravitation},
  author = {Lorenzo Fatibene and Simon Garruto},
  journal= {arXiv preprint arXiv:1601.04315},
  year   = {2016}
}

Comments

Workshop Variational principles and conservation laws in General Relativity, Torino, June 24-25, 2015in memory of Mauro Francaviglia