Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

SIGMA 12 (2016), 006, 16 pages      arXiv:1509.08008      https://doi.org/10.3842/SIGMA.2016.006
Contribution to the Special Issue on Analytical Mechanics and Differential Geometry in honour of Sergio Benenti

Extended Cosmologies

Salvatore Capozziello a b c, Mariafelicia F. De Laurentis c d e f, Lorenzo Fatibene g h, Marco Ferraris g and Simon Garruto g h
a) Dipartimento di Fisica, University of Napoli ''Federico II'', Italy
b) INFN Sezione Napoli - Iniziativa Specifica QGSKY, Italy
c) Gran Sasso Science Institute (INFN), L'Aquila, Italy
d) Tomsk State Pedagogical University, Russia
e) Laboratory of Theoretical Cosmology, Tomsk State University of Control Systems and Radioelectronics (TUSUR), Russia
f) Institut für Theoretische Physik, Goethe-Universität, Max-von-Laue-Str. 1, 60438 Frankfurt, Germany
g) Dipartimento di Matematica, University of Torino, Italy
h) INFN Sezione Torino - Iniziativa Specifica QGSKY, Italy

Received September 29, 2015, in final form January 16, 2016; Published online January 20, 2016

Abstract
We shall discuss cosmological models in extended theories of gravitation. We shall define a surface, called the model surface, in the space of observable parameters which characterises families of theories. We also show how this surface can be used to compare with observations. The model surface can potentially be used to falsify whole families of models instead reasoning on a single model basis as it is usually done by best fit arguments with observations.

Key words: cosmology; extended theories of gravitation.

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