Schwarzschild $1/r$-singularity is not permissible in ghost free quadratic curvature infinite derivative gravity
General Relativity and Quantum Cosmology
2018-09-19 v3 High Energy Astrophysical Phenomena
High Energy Physics - Theory
Abstract
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.
Keywords
Cite
@article{arxiv.1803.00309,
title = {Schwarzschild $1/r$-singularity is not permissible in ghost free quadratic curvature infinite derivative gravity},
author = {Alexey S. Koshelev and João Marto and Anupam Mazumdar},
journal= {arXiv preprint arXiv:1803.00309},
year = {2018}
}
Comments
10 pages, title changed, discussion added, references updated, version accepted in PRD