Schwarzschild 1/r-singularity is not permissible in ghost free quadratic curvature infinite derivative gravity

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 permissible. Therefore, Schwarzschild-type vacuum solution which is a prediction in Einstein-Hilbert gravity may 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.

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