The gravitational field of static p-branes in linearized ghost-free gravity

TL;DR

This paper investigates how non-local modifications in ghost-free gravity regularize the singular gravitational fields of static p-branes in higher-dimensional Minkowski space, providing exact solutions that match GR at large distances.

Contribution

It derives exact regularized gravitational fields of p-branes in ghost-free gravity, demonstrating the removal of singularities through non-local form factors.

Findings

Non-local form factors regularize p-brane gravitational fields.

Solutions match linearized GR at large distances.

Short-range modifications eliminate singularities.

Abstract

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 non-local form factors $\exp(-\Box/\mu^2)$ and $\exp(\Box^2/\mu^4)$, where $\mu^{-1}$ is the scale of non-locality. 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 non-localities, 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 non-locality, $\mu r\rightarrow\infty$, our solutions approach those found in linearized General Relativity.