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Symmetry 2018, 10(5), 170;

Inflation in Mimetic f(G) Gravity

Institut de Ciències de l’Espai (ICE, CSIC), Carrer de Can Magrans s/n, 08193 Barcelona, Spain
Institut d’Estudis Espacials de Catalunya (IEEC), 08034 Barcelona, Spain
Institute of Theoretical Physics, Lanzhou University, Lanzhou 730000, China
Author to whom correspondence should be addressed.
Received: 12 April 2018 / Revised: 7 May 2018 / Accepted: 10 May 2018 / Published: 17 May 2018
(This article belongs to the Special Issue Symmetry: Anniversary Feature Papers 2018)
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Mimetic gravity is analysed in the framework of some extensions of general relativity (GR), whereby a function of the Gauss–Bonnet invariant in four dimensions is considered. By assuming the mimetic condition, the conformal degree of freedom is isolated, and a pressureless fluid naturally arises. Then, the complete set of field equations for mimetic Gauss–Bonnet gravity is established, and some inflationary models are analysed, for which the corresponding gravitational action is reconstructed. The spectral index and tensor-to-scalar ratio are obtained and compared with observational bounds from Planck and BICEP2/Keck array data. Full agreement with the above data is achieved for several versions of the mimetic Gauss–Bonnet gravity. Finally, some extensions of Gauss–Bonnet mimetic gravity are considered, and the possibility of reproducing inflation is also explored. View Full-Text
Keywords: modified gravity; inflation; dark energy; dark matter modified gravity; inflation; dark energy; dark matter

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Zhong, Y.; Sáez-Chillón Gómez, D. Inflation in Mimetic f(G) Gravity. Symmetry 2018, 10, 170.

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