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Universe 2017, 3(2), 47; doi:10.3390/universe3020047

Modified Gravity with Vector Distortion and Cosmological Applications

1
Aix Marseille Univ, Université de Toulon, CNRS, CPT, Marseille 13288, France
2
Nordita, KTH Royal Institute of Technology and Stockholm University, Roslagstullsbacken 23, SE-10691 Stockholm, Sweden
*
Author to whom correspondence should be addressed.
Academic Editors: Mariusz P. Dąbrowski, Manuel Krämer and Vincenzo Salzano
Received: 7 April 2017 / Revised: 14 May 2017 / Accepted: 19 May 2017 / Published: 24 May 2017
(This article belongs to the Special Issue Varying Constants and Fundamental Cosmology)
View Full-Text   |   Download PDF [287 KB, uploaded 24 May 2017]   |  

Abstract

We briefly review the basics of Weyl geometry and its natural extension by a general linear ”distortion” of the metric connection by a vector field. A special class of the connections has torsion but retains the Weyl’s semi-metricity condition. We present ghost-free gravitational theories in this geometrical setup and highlight their possible cosmological applications, such as new self-tuning solutions and new bouncing solutions found in the quadratic-curvature theories. The vector distortion can mimic the cosmological effects of dark matter. View Full-Text
Keywords: modified gravity; Weyl geometry; cosmology modified gravity; Weyl geometry; cosmology
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Beltrán Jiménez, J.; Koivisto, T.S. Modified Gravity with Vector Distortion and Cosmological Applications. Universe 2017, 3, 47.

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