NUT charge in linearized infinite derivative gravity

Kolář, Ivan; Mazumdar, Anupam

doi:10.1103/physrevd.101.124005

Cited by 35 publications

(41 citation statements)

References 65 publications

(103 reference statements)

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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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Section: Introductionmentioning

confidence: 99%

Junction conditions in infinite derivative gravity

2021

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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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“…The solution of Eq. ( 21) can be found analytically in the case of N ¼ 1 [52]. Here we rewrite it in terms of the smeared δ-function and Heaviside function as follows:…”

Section: Nut Solutionmentioning

confidence: 99%

“…The NUT solution for weak-field nonlocal gravity has been constructed via Laplace transform methods in Ref. [52]. Here we would like to briefly delineate a possibly simpler derivation of the NUT solution that simultaneously extends to more general nonlocal theories of the GF N type.…”

Section: Appendix: Derivation Of the Nut Solutionmentioning

confidence: 99%

“…While a few exact classical solutions have been found in the context of gravitational waves [37,38] and cosmology [39,40], the complexity of the nonlocal gravitational field equations has so far prohibited a deeper study of the nonlinear regime; a notable exception is the recent work on almost universal spacetimes [41]. At the weak-field level, however, a plethora of solutions has been constructed in the past years [42][43][44][45][46][47][48][49][50][51][52][53]. The common feature of these linearized solutions lies in two main aspects:…”

Section: Introductionmentioning

confidence: 99%

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Nonlocality and gravitoelectromagnetic duality

Boos

Kolář

2021

Phys. Rev. D

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The weak-field Schwarzschild and NUT solutions of general relativity are gravitoelectromagnetically dual to each other, except on the positive z-axis. The presence of nonlocality weakens this duality and violates it within a smeared region around the positive z-axis, whose typical transverse size is given by the scale of nonlocality. We restore an exact nonlocal gravitoelectromagnetic duality everywhere via a manifestly dual modification of the linearized nonlocal field equations. In the limit of vanishing nonlocality we recover the well-known results from weak-field general relativity. Nonlocality, as a possible ultraviolet completion of gravity, does not pose a fundamental impediment to duality structures at the linear level.

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NUT charge in linearized infinite derivative gravity

Cited by 35 publications

References 65 publications

Junction conditions in infinite derivative gravity

Junction conditions in infinite derivative gravity

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

Nonlocality and gravitoelectromagnetic duality

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