$pp$-waves as exact solutions to ghost-free infinite derivative gravity

Ercan Kilicarslan

$pp$-waves as exact solutions to ghost-free infinite derivative gravity

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arxiv 1903.04283 v4 pith:6LMVW4RX submitted 2019-03-11 gr-qc hep-th

Ercan Kilicarslan This is my paper · ORCID

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keywords exactgravitysolutionstheoryderivativeeinsteinghost-freeinfinite

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We construct exact pp-wave solutions of ghost-free infinite derivative gravity and demonstrate that the sourceless theory does not bring any pp-wave solutions save for that of Einstein's gravity. These waves described in the Kerr-Schild form also solve the linearized field equations of the theory. We also find an exact gravitational shock wave with non-singular curvature invariants and with a finite limit in the ultraviolet regime of non-locality which is in contrast to the divergent limit in Einstein's theory.

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Ghost-free modification of the Polyakov action and Hawking radiation
hep-th 2019-09 conditional novelty 6.0 of 10

For a ghost-free modification of the Polyakov action on a fixed 2D black hole background, the Hawking flux at infinity is unchanged; only diagonal stress-energy components and entropy get non-local corrections.

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