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Einstein-Gauss-Bonnet Gravity with Extra Dimensions

Consortium for Fundamental Physics, School of Mathematics and Statistics, University of Sheffield, Hounsfield Road, Sheffield S3 7RH, UK
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Galaxies 2019, 7(1), 39; https://doi.org/10.3390/galaxies7010039
Received: 28 January 2019 / Revised: 25 February 2019 / Accepted: 12 March 2019 / Published: 19 March 2019
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Abstract

We consider a theory of modified gravity possessing d extra spatial dimensions with a maximally symmetric metric and a scale factor, whose ( 4 + d ) -dimensional gravitational action contains terms proportional to quadratic curvature scalars. Constructing the 4D effective field theory by dimensional reduction, we find that a special case of our action where the additional terms appear in the well-known Gauss-Bonnet combination is of special interest as it uniquely produces a Horndeski scalar-tensor theory in the 4D effective action. We further consider the possibility of achieving stabilised extra dimensions in this scenario, as a function of the number and curvature of extra dimensions, as well as the strength of the Gauss-Bonnet coupling. Further questions that remain to be answered such as the influence of matter-coupling are briefly discussed. View Full-Text
Keywords: cosmology; extra dimensions; early universe cosmology; extra dimensions; early universe
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van de Bruck, C.; Longden, C. Einstein-Gauss-Bonnet Gravity with Extra Dimensions. Galaxies 2019, 7, 39.

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