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

Jens Boos; Valeri P. Frolov; Andrei Zelnikov

doi:10.1103/PhysRevD.97.084021

paper

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

arXiv:1802.09573 · doi:10.1103/PhysRevD.97.084021

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 $exp (- □ / μ^{2})$ and $exp (□^{2} / μ^{4})$ , where $μ^{- 1}$ 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, $μ r \to \infty$ , our solutions approach those found in linearized General Relativity.

arXiv comment11 pages, 4 figures, matches the published version

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

Abstract

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