Infinite derivative gravity resolves nonscalar curvature singularities

Article

Infinite derivative gravity resolves nonscalar curvature singularities

Kolář I.; Málek T.

Phys. Rev. D 108(8), 5 (2023)

Abstract

We explicitly demonstrate that the nonlocal ghost-free ultraviolet modification of general relativity (GR) known as the infinite derivative gravity (IDG) resolves nonscalar curvature singularities in exact solutions of the full theory. We analyze exact pp-wave solutions of GR and IDG describing gravitational waves generated by null radiation. Curvature of GR and IDG solutions with the same energy-momentum tensor is compared in parallel-propagated frames along timelike and null geodesics at finite values of the affine parameter. While the GR pp-wave solution contains a physically problematic nonscalar curvature singularity at the location of the source, the curvature of its IDG counterpart is finite.

Institute authors

Kolář, Ivan

BibTeX

@article{UTF906,
  author        = {Kolář I. and Málek T.},
  title         = {{Infinite derivative gravity resolves nonscalar curvature singularities}},
  journal       = {Phys. Rev. D},
  volume        = {108},
  number        = {8},
  pages         = {5},
  year          = {2023},
  month         = {10},
  doi           = {10.1103/PhysRevD.108.L081502},
}