Gravitational field of static p -branes in linearized ghost-free gravity

We study the gravitational field of static p-branes in D-dimensional Minkowski space in the framework of linearized ghost-free (GF) gravity. The concrete models of GF gravity we consider are parametrized by the nonlocal form factors exp(−□/μ2) and exp(□2/μ4), where μ−1 is the scale of nonlocality. We show that the singular behavior of the gravitational field of p-branes in general relativity is cured by short-range modifications introduced by the nonlocalities, and we derive exact expressions of the regularized gravitational fields, whose geometry can be written as a warped metric. For large distances compared to the scale of nonlocality, μr→∞, our solutions approach those found in linearized general relativity.