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We study solutions describing spinning null sources called gyratons in generic theories of gravity with terms that are quadratic in curvature and contain an arbitrary number of covariant derivatives. In particular, we show that the…

General Relativity and Quantum Cosmology · Physics 2022-02-14 Ivan Kolář , Tomáš Málek , Suat Dengiz , Ercan Kilicarslan

We study a non-local ghost-free Lorentz invariant modification of the Maxwell equations in four- and higher-dimensional flat spacetimes. We construct solutions of these equations for stationary charged and magnetized objects and use them to…

High Energy Physics - Theory · Physics 2021-02-24 Jens Boos , Valeri P. Frolov , Jose Pinedo Soto

The metric ansatz is used to describe the gravitational field of a beam-pulse of spinning radiation (gyraton) in an arbitrary number of spacetime dimensions D. First we demonstrate that this metric belongs to the class of metrics for which…

High Energy Physics - Theory · Physics 2009-11-11 Valeri P. Frolov , Werner Israel , Andrei Zelnikov

The accelerated expansion of the universe poses a significant challenge to General Relativity. Non-local modifications to gravity have emerged as a compelling class of theories to address this dark energy puzzle. Building upon earlier…

General Relativity and Quantum Cosmology · Physics 2025-11-19 Susobhan Mandal , S. Shankaranarayanan

General Relativity (GR) is an effective field theory valid in the infrared regime. Quadratic curvature extensions intended to probe ultraviolet physics generically propagate a massive spin-$2$ ghost and are therefore non-unitary. One route…

General Relativity and Quantum Cosmology · Physics 2025-10-21 Gaetano Lambiase , Shinji Mukohyama , Tanmay Kumar Poddar , Anna Chiara Rescigno

We study the gravitational field of a spinning radiation beam-pulse (a gyraton) in a D-dimensional asymptotically AdS spacetime. It is shown that the Einstein equations for such a system reduce to a set of two linear equations in a…

High Energy Physics - Theory · Physics 2015-06-26 Valeri P. Frolov , Andrei Zelnikov

In our previous paper [Phys. Rev. D 89 (2014) 124029], cited as [1], we attempted to find Robinson-Trautman-type solutions of Einstein's equations representing gyratonic sources (matter field in the form of an aligned null fluid, or…

General Relativity and Quantum Cosmology · Physics 2019-02-13 Jiri Podolsky , Robert Svarc

We study relativistic gyratons which carry an electric charge. The Einstein-Maxwell equations in arbitrary dimensions are solved exactly in the case of a charged gyraton propagating in an asymptotically flat metric.

General Relativity and Quantum Cosmology · Physics 2009-11-11 Valeri P. Frolov , Andrei Zelnikov

We discuss some properties of recently proposed models of a ghost-free gravity. For this purpose we study solutions of linearized gravitational equations in the framework of such a theory. We mainly focus on the version of the ghost-free…

High Energy Physics - Theory · Physics 2015-05-22 Valeri P. Frolov , Andrei Zelnikov , Tiberio de Paula Netto

The "Auxiliary Extra Dimension" model was proposed in order to provide a geometrical interpretation to modifications of general relativity, in particular to non-linear massive gravity. In this context, the theory was shown to be ghost free…

High Energy Physics - Theory · Physics 2011-07-26 S. F. Hassan , Rachel A. Rosen

In this paper, we discuss the gravitational field of ultrarelativistic extended spinning objects. For this purpose, we use a solution of the linearized gravitational equations obtained in the frame where such an object is translationally at…

General Relativity and Quantum Cosmology · Physics 2022-10-05 Valeri P. Frolov , Alex Koek

In the context of ghost-free infinite derivative gravity, we consider the single graviton exchange between two spinless particles, a spinless particle and a photon, or between a spinless particle and a spin-1/2 particle. To this end, we…

General Relativity and Quantum Cosmology · Physics 2025-02-26 Ulrich K. Beckering Vinckers , Álvaro de la Cruz-Dombriz , Anupam Mazumdar

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 non-locality, in the ultraviolet regime (at…

General Relativity and Quantum Cosmology · Physics 2018-10-03 Luca Buoninfante , Alexey S. Koshelev , Gaetano Lambiase , Anupam Mazumdar

We present the ghost-free infinite-derivative extensions of the Spherically-Reduced Gravity (SRG) and Callan-Giddings-Harvey-Strominger (CGHS) theories in two space-time dimensions. For the case of SRG, we specify the Schwarzschild-type…

General Relativity and Quantum Cosmology · Physics 2022-09-23 Ulrich K. Beckering Vinckers , Álvaro de la Cruz-Dombriz , Ivan Kolář , Francisco J. Maldonado Torralba , Anupam Mazumdar

It is shown that polynomial gravity theories with more than four derivatives in each scalar and tensor sectors have a regular weak-field limit, without curvature singularities. This is achieved by proving that in these models the effect of…

General Relativity and Quantum Cosmology · Physics 2019-07-09 Breno L. Giacchini , Tibério de Paula Netto

The ultrarelativistic limit of twodimensional dilaton gravity is presented and its associated (anti-)selfdual energy momentum tensor is derived. It is localized on a null line, although the line element remains twice differentiable.…

General Relativity and Quantum Cosmology · Physics 2009-11-10 H. Balasin , D. Grumiller

A new representation is found for the action of the recently suggested ghost-free nonlocal gravity models generating de Sitter or Anti-de Sitter background with an arbitrary value of the effective cosmological constant. This representation…

High Energy Physics - Theory · Physics 2015-06-11 A. O. Barvinsky , Yu. V. Gusev

The article deals with G\"odel-like solutions in the context of Galilean gravity, a geometric formulation of non-relativistic gravitation defined on a five-dimensional Galilean manifold. Within this framework, non-relativistic matter fields…

General Relativity and Quantum Cosmology · Physics 2026-02-17 A. F. Santos , R. G. G. Amorim , K. V. S. Araújo , S. C. Ulhoa

A class of spinning magnetic string in 4-dimensional Einstein-dilaton gravity with Liouville type potential which produces a longitudinal nonlinear electromagnetic field is presented. These solutions have no curvature singularity and no…

High Energy Physics - Theory · Physics 2008-11-26 M. H. Dehghani , A. Sheykhi , S. H. Hendi

In this manuscript we will present the theoretical framework of the recently proposed infinite derivative theory of gravity with a non-symmetric connection. We will explicitly derive the field equations at the linear level and obtain new…

General Relativity and Quantum Cosmology · Physics 2019-11-21 Álvaro de la Cruz-Dombriz , Francisco José Maldonado Torralba , Anupam Mazumdar
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