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In Einstein's theory of general relativity the vacuum solution yields a blackhole with a curvature singularity, where there exists a pointlike source with a Dirac delta distribution which is introduced as a boundary condition in the static case. It has been known for a while that ghostfree infinite derivative theory of gravity can ameliorate such a singularity at least at the level of linear perturbation around the Minkowski background. In this paper, we will show that the Schwarzschild metric does not satisfy the boundary condition at the origin within infinite derivative theory of gravity, since a Dirac delta source is smeared out by nonlocal gravitational interaction. We will also show that the spacetime metric becomes conformallyflat and singularityfree within the nonlocal region, which can be also made devoid of an event horizon. Furthermore, the scale of nonlocality ought to be as large as that of the Schwarzschild radius, in such a way that the gravitational potential in any metric has to be always bounded by one, implying that gravity remains weak from the infrared all the way up to the ultraviolet regime, in concurrence with the results obtained in [arXiv:1707.00273]. The singular Schwarzschild blackhole can now be potentially replaced by a nonsingular compact object, whose core is governed by the mass and the effective scale of nonlocality.
Originele taal2  English 

Artikelnummer  014 
Aantal pagina's  26 
Tijdschrift  Journal of Cosmology and Astroparticle Physics 
Volume  2018 
Nummer van het tijdschrift  6 
DOI's  
Status  Published  11 jun 2018 
Bibliografische nota
24 pages. Revised version, stronger arguments presented for avoiding singularity and event horizonVingerafdruk
Duik in de onderzoeksthema's van 'Conformallyflat, nonsingular static metric in infinite derivative gravity'. Samen vormen ze een unieke vingerafdruk.Projecten
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SRP8: SRP (Zwaartepunt): HogeEnergiefysica
D'Hondt, J., Van Eijndhoven, N., Craps, B. & Buitink, S.
1/11/12 → 31/10/24
Project: Fundamenteel