Infinite derivative gravity resolves nonscalar curvature singularities

0578448 - MÚ 2024 RIV US eng J - Journal Article
Kolář, I. - Málek, Tomáš
Infinite derivative gravity resolves nonscalar curvature singularities.
Physical Review D. Roč. 108, č. 8 (2023), č. článku L081502. ISSN 2470-0010. E-ISSN 2470-0029
R&D Projects: GA ČR(CZ) GA19-09659S
Institutional support: RVO:67985840
Keywords : general relativity * infinite derivative gravity
OECD category: Pure mathematics
Impact factor: 5, year: 2022
Method of publishing: Limited access
https://doi.org/10.1103/PhysRevD.108.L081502

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.
Permanent Link: https://hdl.handle.net/11104/0347443