Schwarzschild 1 /r singularity is not permissible in ghostfree quadraticcurvature infinitederivative gravity
Abstract
In this paper, we will study the complete equations of motion for a ghostfree quadraticcurvature infinitederivative gravity. We will argue that within the scale of nonlocality, a Schwarzschildtype singular metric solution is not permissible. Therefore, the Schwarzschildtype vacuum solution which is a prediction in EinsteinHilbert gravity may not persist within the region of nonlocality. We will also show that just quadraticcurvature gravity, without infinite derivatives, always allows Schwarzschildtype singular metric solution.
 Publication:

Physical Review D
 Pub Date:
 September 2018
 DOI:
 10.1103/PhysRevD.98.064023
 arXiv:
 arXiv:1803.00309
 Bibcode:
 2018PhRvD..98f4023K
 Keywords:

 General Relativity and Quantum Cosmology;
 Astrophysics  High Energy Astrophysical Phenomena;
 High Energy Physics  Theory
 EPrint:
 10 pages, title changed, discussion added, references updated, version accepted in PRD