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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
Author to whom correspondence should be addressed.
Galaxies 2019, 7(1), 39;
Received: 28 January 2019 / Revised: 25 February 2019 / Accepted: 12 March 2019 / Published: 19 March 2019
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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