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Modified teleparallel theories of gravity: Gauss-Bonnet and trace extensions

Bahamonde, S; Boehmer, CG; (2016) Modified teleparallel theories of gravity: Gauss-Bonnet and trace extensions. European Physical Journal C , 76 (10) , Article 578. 10.1140/epjc/s10052-016-4419-8. Green open access

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Abstract

We investigate modified theories of gravity in the context of teleparallel geometries with possible Gauss-Bonnet contributions. The possible coupling of gravity with the trace of the energymomentum tensor is also taken into account. This is motivated by the various different theories formulated in the teleparallel approach and the metric approach without discussing the exact relationship between them. Our formulation clarifies the connections between different well known theories. For instance, we are able to formulate the correct teleparallel equivalent of Gauss-Bonnet modified general relativity, amongst other results. Finally, we are able to identify modified gravity models which have not been studied in the past. These appear naturally within our setup and would make a interesting starting point for further studies.

Type: Article
Title: Modified teleparallel theories of gravity: Gauss-Bonnet and trace extensions
Open access status: An open access version is available from UCL Discovery
DOI: 10.1140/epjc/s10052-016-4419-8
Publisher version: https://doi.org/10.1140/epjc/s10052-016-4419-8
Language: English
Additional information: Copyright © The Author(s) 2016. Open Access: This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics
URI: https://discovery.ucl.ac.uk/id/eprint/1519790
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