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arXiv · 2307.07285

Infinite derivative gravity resolves nonscalar curvature singularities

Ivan Kolář·Tomáš Málek
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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.

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Ivan Kolář, Tomáš Málek. 2023-07-14. Infinite derivative gravity resolves nonscalar curvature singularities. https://doi.org/10.1103/physrevd.108.l081502

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