2018/03/31 by Alexey S. Koshelev, João Marto, Anupam Mazumdar
Physics and Astronomy · #astro-ph.HE #gr-qc #hep-th
paper · pdf · doi:10.1103/physrevd.98.064023
published as Phys. Rev. D 98, 064023 (2018) · 10 pages, title changed, discussion added, references updated, version accepted in PRD
arxiv created 2018/09/11 · arxiv updated 2018/09/19
In this paper we will study the complete equations of motion for a ghost free quadratic curvature infinite derivative gravity. We will argue that within the scale of non-locality, Schwarzschild-type singular metric solution is not \it permissible. Therefore, Schwarzschild-type vacuum solution which is a prediction in Einstein-Hilbert gravity may \it not persist within the region of non-locality. We will also show that just quadratic curvature gravity, without infinite derivatives, always allows Schwarzschild-type singular metric solution.