Towards conformally flat, nonKasner vacuum solution in infinite derivative gravity
Abstract
In this paper, we will show that the equations of motion of the quadratic in curvature, ghost free, infinite derivative theory of gravity will not permit an anisotropic collapse of a homogeneous Universe such as Kasnertype vacuum solution. However, such a solution is shown to be admissible in the local quadratic curvature gravity. Therefore pointing towards the crucial role played by the nonlocal infinite derivatives. We will show that it is possible to obtain conformally flat and singularityfree spacetime metrics.
 Publication:

Journal of Cosmology and Astroparticle Physics
 Pub Date:
 February 2019
 DOI:
 10.1088/14757516/2019/02/020
 arXiv:
 arXiv:1803.07072
 Bibcode:
 2019JCAP...02..020K
 Keywords:

 General Relativity and Quantum Cosmology;
 Astrophysics  Cosmology and Nongalactic Astrophysics;
 High Energy Physics  Theory
 EPrint:
 8 pages. arXiv admin note: substantial text overlap with arXiv:1803.00309