Inflation in Mimetic f(G) Gravity
Abstract
Mimetic gravity is analysed in the framework of some extensions of General Relativity, where a function of the GaussBonnet invariant in four dimensions is considered. By assuming the socalled mimetic condition, the conformal degree of freedom is isolated and a pressureless fluid naturally arises. Then, the complete set of field equations for mimetic GaussBonnet gravity is established and some inflationary models are analysed, for which the corresponding gravitational action is reconstructed. The spectral index and tensortoscalar ratio are obtained and compared with observational bounds from Planck and BICEP2/Keck array data. The full agreement with above data is achieved for several versions of the mimetic GaussBonnet gravity. Finally, some extensions of GaussBonnet mimetic gravity are considered and the possibility of reproducing inflation is also explored.
 Publication:

Symmetry
 Pub Date:
 May 2018
 DOI:
 10.3390/sym10050170
 arXiv:
 arXiv:1805.03467
 Bibcode:
 2018Symm...10..170Z
 Keywords:

 General Relativity and Quantum Cosmology;
 High Energy Physics  Theory
 EPrint:
 14 pages, 2 figures