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 nonlocality, a Schwarzschild-type singular metric solution is not permissible. Therefore, the Schwarzschild-type vacuum solution which is a prediction in Einstein-Hilbert gravity may not persist within the region of nonlocality. We will also show that just quadratic-curvature gravity, without infinite derivatives, always allows Schwarzschild-type singular metric solution.

• Received 13 March 2018

DOI:https://doi.org/10.1103/PhysRevD.98.064023