2018
DOI: 10.1103/physrevd.98.084009
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Nonsingular metric for an electrically charged point-source in ghost-free infinite derivative gravity

Abstract: In this paper we will construct a linearized metric solution for an electrically charged system in a ghost-free infinite derivative theory of gravity which is valid in the entire region of spacetime. We will show that the gravitational potential for a point-charge with mass m is non-singular, the Kretschmann scalar is finite, and the metric approaches conformal-flatness in the ultraviolet regime where the non-local gravitational interaction becomes important. We will show that the metric potentials are bounded… Show more

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Cited by 80 publications
(80 citation statements)
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“…The result is a Gaussian distribution. In a very similar fashion one, can also resolve the singularity present in a rotating metric in general relativity [56] and the singularity due to a charged electron [57]. The nonlocal theories arise in many contexts in quantum gravity; in string theory, the notion of point objects are replaced by strings and branes [58], dynamical triangulation [59], and loop quantum gravity [60], and a casual set approach [61] exploits Wilson operators which are inherently nonlocal.…”
Section: Underlying Assumptionsmentioning
confidence: 99%
“…The result is a Gaussian distribution. In a very similar fashion one, can also resolve the singularity present in a rotating metric in general relativity [56] and the singularity due to a charged electron [57]. The nonlocal theories arise in many contexts in quantum gravity; in string theory, the notion of point objects are replaced by strings and branes [58], dynamical triangulation [59], and loop quantum gravity [60], and a casual set approach [61] exploits Wilson operators which are inherently nonlocal.…”
Section: Underlying Assumptionsmentioning
confidence: 99%
“…This guaranties the powercounting renormalizability and raises the hope that Black-Hole and Big Bang singularities are being resolved in gravity theories of this kind. A number of crucial questions has been investigated recently regarding the resolution of singularities [23,[43][44][45][46][47][48][49][50][51][52][53][54][55] in this approach. The arguments above explain why such an infinite derivative gravity tends to become a UV complete gravity theory.…”
Section: Jhep06(2020)152mentioning
confidence: 99%
“…As expected, for large distances M s r 1, we recover the metric potentials of the linearized Reissner-Nordström metric of GR [79], while in the limit r → 0 the two metric potentials tend to nite values, Φ(0) = −GmM s / √ π+GQ 2 M 2 s /4 and Ψ(0) = −GmM s / √ π + GQ 2 M 2 s /8, as can be easily checked. The same regularized behavior can be shown for all linearized curvature invariants; in particular, the Weyl tensor vanishes implying that the metric is conformally-at at the origin [79], as it also happens for the case of a neutral source. Therefore, also for a point-like electric charge nonlocality is able to regularize the singularity at r = 0.…”
Section: Electrically Charged Static Point-like Sourcesupporting
confidence: 81%
“…The linearized regime holds all the way from r = ∞ up to r = 0, as long as the inequalities 2|Φ(0)|, 2|Ψ(0)| < 1 are satised, which means mM s < M 2 p and |Q|M s < M p , where we have neglected constant factors of order one[79].…”
mentioning
confidence: 99%