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In this paper we will show all the linearized curvature tensors in the infinite derivative ghost and singularity free theory of gravity in the static limit. We have found that in the region of nonlocality, in the ultraviolet regime (at short distance from the source), the Ricci tensor and the Ricci scalar are not vanishing, meaning that we do not have a Ricci flat vacuum solution anymore due to the smearing of the source induced by the presence of nonlocal gravitational interactions. It also follows that, unlike in Einstein's gravity, the Riemann tensor is not traceless and it does not coincide with the Weyl tensor. Secondly, these curvatures are regularized at short distances such that they are singularityfree, in particular the same happens for the Kretschmann invariant. Unlike the others, the Weyl tensor vanishes at short distances, implying that the spacetime metric approaches conformalflatness in the region of nonlocality, in the ultraviolet. We briefly discuss the solution in the nonlinear regime, and argue that 1/r metric potential cannot be the solution in the shortdistance regime, where nonlocality becomes important.
Originele taal2  English 

Artikelnummer  034 
Aantal pagina's  17 
Tijdschrift  Journal of Cosmology and Astroparticle Physics 
Volume  2018 
Nummer van het tijdschrift  9 
DOI's  
Status  Published  21 sep 2018 
Bibliografische nota
8 pagesVingerafdruk
Duik in de onderzoeksthema's van 'Classical properties of nonlocal, ghost and singularityfree gravity'. Samen vormen ze een unieke vingerafdruk.Projecten
 1 Actief

SRP8: SRP (Zwaartepunt): HogeEnergiefysica
D'Hondt, J., Van Eijndhoven, N., Craps, B. & Buitink, S.
1/11/12 → 31/10/24
Project: Fundamenteel