Nonlocal Modification of the Kerr Metric

In the present paper, we discuss a nonlocal modification of Kerr metric. Our starting point is Kerr–Schild form metric gμν=ημν+Φlμlμ. Using Newman’s approach, identify shear free null congruence l with generators cone apex at p in complex space. The obtained if potential Φ chosen to be solution flat Laplace equation for source p. To construct metric, modify operator ▵ by its version exp(−ℓ2▵)▵. We found such an infinite derivative (nonlocal) model and used it sought-for properties rotating black holes this are discussed. particular, derived numerically solved shift position event horizon due nonlocality. AlbertaThy 5–23.