Ultrarelativistic spinning objects in nonlocal ghost-free gravity

Boos, Jens; Soto, Jose Pinedo; Frolov, Valeri P.

doi:10.1103/physrevd.101.124065

Cited by 32 publications

(30 citation statements)

References 72 publications

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“…As a result, the curvature of the metric is finite everywhere [33]. A similar feature remains true for electrically charged sources [36], rotating ring-type sources [37], and other extended objects associated with topological defects such as the p-branes, cosmic strings, and gyratons [38][39][40]. It was also demonstrated that there exists a mass gap for miniblack-hole production by a spherical gravitational collapse [30,31] and head-on collision of ultrarelativistic particles [29], so the theory never develops a singularity at the linear level.…”

Section: Introductionmentioning

confidence: 68%

“…Considering that the quantum fluctuations appear at much larger scales than the scale of nonlocality of these theories, the metric can be treated as classical. The studies from this classical point of view show that the infinite derivative gravity may actually resolve the cosmological, black-hole, and other gravitational singularities [12,[23][24][25][26][27][28][29][30][31][32][33][34][35][36][37][38][39][40].…”

Section: Introductionmentioning

confidence: 99%

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NUT charge in linearized infinite derivative gravity

Kolář

Mazumdar

2020

Phys. Rev. D

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We study the gravitational field of the NUT-like source in the linearized (ghost-free) infinite derivative gravity. Such a source is equivalent to the spinning semi-infinite cosmic string with no tension. In general relativity, the linearized (massless) Taub-NUT solution has a curvature singularity as well as a topological defect corresponding to distributional curvature on one half of the symmetry axis called the Misner string. We find the NUT-charged spacetime in the linearized infinite derivative gravity. We show that it is free from curvature singularities as well as Misner strings. We also discuss an asymptotic limit along the symmetry axis that leads to the spacetime of a spinning cosmic string of infinite length.

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Section: Introductionmentioning

confidence: 68%

Section: Introductionmentioning

confidence: 99%

NUT charge in linearized infinite derivative gravity

Kolář

Mazumdar

2020

Phys. Rev. D

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“…At the classical level, it has been shown that the linearized IDG can yield nonsingular static solutions for point sources (including electromagnetic charges), p-branes (and cosmic strings), sources describing Newman-Unti-Tamburino charges [27,[38][39][40][41], and spinning ring distributions [42]. It was also found that the linearized IDG prevents mini-black-hole production for small masses [43][44][45].…”

Section: Introductionmentioning

confidence: 99%

Junction conditions in infinite derivative gravity

2021

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The junction conditions for the infinite derivative gravity theory R þ RFð□ÞR are derived under the assumption that the conditions can be imposed by avoiding the "ill-defined expressions" in the theory of distributions term by term in infinite summations. We find that the junction conditions of such nonlocal theories are much more restrictive than in local theories, since the conditions comprise an infinite number of equations for the Ricci scalar. These conditions can constrain the geometry far beyond the matching hypersurface. Furthermore, we derive the junction field equations which are satisfied by the energymomentum tensor on the hypersurface. It turns out that the theory still allows some matter content on the hypersurface (without external flux and external tension) but with a traceless energy-momentum tensor. We also discuss the proper matching condition where no matter is concentrated on the hypersurface. Finally, we explore the possible applications and consequences of our results to the braneworld scenarios and star models. Particularly, we find that the internal tension is given purely by the trace of the energy-momentum tensor of the matter confined to the brane. Consequences of the junction conditions are illustrated on two simple examples of static and collapsing stars. It is demonstrated that, even without solving the field equations, the geometry on one side of the hypersurface can be determined to a great extent by the geometry on the other side if the Ricci scalar is analytic. We further show that some usual star models in the general relativity are no longer solutions of the infinite derivative gravity.

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“…Recently, there has been further progress in finding solutions of linearized IDG. It was shown that IDG may avoid not only black-hole type singularities [26][27][28][29][30][31][32][33], but also topological defects such as p branes [34], cosmic strings [35], and NUT-like singularities [36]. The exact pp-wave solutions have been studied in [37].…”

Section: Introductionmentioning

confidence: 99%

Impulsive waves in ghost-free infinite derivative gravity in anti–de Sitter spacetime

et al. 2020

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We study exact impulsive gravitational waves propagating in anti-de Sitter spacetime in the context of the ghost-free infinite derivative gravity. We show that the source-free theory does not admit any anti-de Sitter wave solutions other than that of Einstein's general relativity. The situation is significantly different in the presence of sources. We construct impulsive-wave solutions of the infinite derivative gravity generated by massless particles and linear sources in four and three dimensions. The singularities corresponding to distributional curvature at the locations of the sources get smeared by the nonlocalities. The obtained solutions are regular everywhere. They reduce to the corresponding solutions of general relativity in the infrared regime and in the local limit.

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Ultrarelativistic spinning objects in nonlocal ghost-free gravity

Cited by 32 publications

References 72 publications

NUT charge in linearized infinite derivative gravity

NUT charge in linearized infinite derivative gravity

Junction conditions in infinite derivative gravity

Impulsive waves in ghost-free infinite derivative gravity in anti–de Sitter spacetime

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