Synchrotron radiation in odd dimensions

Gal'Tsov, D. V.; Khlopunov, M.

doi:10.1103/physrevd.101.084054

Cited by 10 publications

(22 citation statements)

References 86 publications

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“…Note that, due to the electromagnetic field's energy-momentum tensor being the bilinear functional of the field derivatives T µν ∼ ∂A ∂A, one can define the emitted part of the latter (∂ µ A ν ) rad , which contributes into the radiated part of the energy-momentum tensor T µν rad . Similar decomposition and reasoning holds in any spacetime dimensions [39,44,77] and, also, for the scalar [70,77] and gravitational fields. The only difference is that in D dimensions area of the distant sphere is proportional to r D−2 , thus, the relevant asymptotic behaviour of the field derivative in the wave zone is 1/r D/2−1 .…”

Section: Rohrlich-teitelboim Definition Of Radiationmentioning

confidence: 61%

“…However, being based on the calculations in the momentum space irrelevant to the dimensionality of the spacetime, this method does not provide us with any information about the structure of the retarded field in the wave zone and the role of the tail term in the formation of radiation. As was shown recently, this obstacle can be overcome in two ways: by Fourier transforming the retarded Green's functions over the temporal coordinate [69], or by modifying the radiation definition [70,71]. In this article, we follow the second approach.…”

Section: Jcap04(2022)014mentioning

confidence: 99%

“…Gravitational waves generated by the binary system are given by the retarded solution of eq. (2.14) constructed by the corresponding Green's function [40,45,46,50,[57][58][59][60][61]70] hMN…”

Section: Gravitational Waves Generated By the Systemmentioning

confidence: 99%

“…Also, while each term in eq. (2.35) is separately divergent on the light cone, the resulting field is finite [70]. Let us briefly discuss the regularisation procedure used to make the finiteness of the field explicit.…”

Section: Jcap04(2022)014mentioning

confidence: 99%

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Gravitational radiation from a binary system in odd-dimensional spacetime

Khlopunov

Gal'Tsov

2022

J. Cosmol. Astropart. Phys.

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We explore possible manifestations of an odd number of extra dimensions in gravitational radiation, which are associated with violation of Huygens' principle in flat odd-dimensional spacetime. Our setup can be regarded as the limit of an infinite compactification radius in ADD model and is not viable as realistic cosmology, but it still may be useful as a simple analytically solvable model catching certain features of more realistic scenarios. The model consists of two point masses moving inside a flat three-dimensional brane, embedded in a five-dimensional Minkowski space and interacting only through a massless scalar field localized on the same brane, while gravitational radiation is emitted into the bulk. This setup avoids the difficulties associated with taking into account the gravitational stresses binding the system, which require the cubic terms in the perturbative gravitational Lagrangian, and permits to limit ourselves to linearized theory. We calculate radiation in a linearized five-dimensional gravity generalizing the Rohrlich-Teitelboim approach to extract the emitted part of the retarded gravitational field. The source term consists of a local contribution from point particles and a non-local contribution from scalar field stresses, which is calculated using the DIRE approach to post-Newtonian expansions. In the nonrelativistic limit, we find an analog of the quadrupole formula containing an integral over the history of the particles' motion preceding the retarded time. We also show that, for an observer on the brane, the radiation contains a third polarization: the breathing mode.

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Section: Rohrlich-teitelboim Definition Of Radiationmentioning

confidence: 61%

Section: Jcap04(2022)014mentioning

confidence: 99%

Section: Gravitational Waves Generated By the Systemmentioning

confidence: 99%

Section: Jcap04(2022)014mentioning

confidence: 99%

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Gravitational radiation from a binary system in odd-dimensional spacetime

Khlopunov

Gal'Tsov

2022

J. Cosmol. Astropart. Phys.

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“…Recent years have been rapidly growing interest in the problems of electromagnetic and gravitational self-force on a point-like particle moving in curved spacetime. It was due to the development of gravitational wave astronomy [1] and the need to produce accurate gravitational waveforms [2] for future space-based gravitational interferometer LISA; rapid advances in laser technology which produces necessity of correct description of motion of ultrarelativivstic electron in intense electromagnetic fields [3][4][5][6][7]; growing interest in the theory of radiation in spacetime dimensions other than four [8,9]. The problems are intimately connected to each other.…”

Section: Introductionmentioning

confidence: 99%

Regularization of electromagnetic field for self-force problem in de Sitter spacetime

Yaremko,

Duviryak

2023

Class. Quantum Grav.

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The paper is concerned with the motion of a point electric charge inde Sitter spacetime. A point particle of mass $m$ and charge $q$moving on a geodesic curve produces electromagnetic field that diverges ata particle's position. The field is determined by the electromagnetic Green'sfunction by Higuchi and Lee \cite{Hig2008}. The self-force contains bothdivergent and finite terms, and the latter are responsible for the radiation reaction.Our derivation of an effective equations of motion is based on conservation lawscorresponding to the group of isometry of de Sitter space. The N"{o}ther quantitiesconsist of particle's individual characteristics and energy, momentum, and angularmomentum carried by particle's electromagnetic field. Following the Detweiler–-Whitingconcept that a charge's motion should only be enforced by the regular componentof its own field, we ignore the divergent terms in conservation laws. We assumethat the divergencies are absorbed by particle's individual characteristicswithin the renormalization procedure. Finite radiative terms together withkinematic particle's characteristics constitute ten conserved quantitiesof closed particle plus field system. Their differential consequences yieldthe effective equations of motion of radiating charge in an external electromagneticfield and gravitation. Contributions to already renormalized particle's four-momentum and its inertial mass originatedfrom electromagnetic field and background gravity are also derived from ten balanceequations.

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Leakage of gravitational waves into an extra dimension in the DGP model

Khlopunov

Gal'Tsov

2022

J. Cosmol. Astropart. Phys.

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In the DGP model, the graviton is unstable, which leads to a modification of gravity at cosmological distances. In particular, this leads to the leakage of gravitational waves from the brane into an extra dimension at large distances from the source. However, the calculation of the gravitational wave leakage intensity is a non-trivial task due to the violation of the Huygens principle in the five-dimensional bulk of the DGP setup. The odd dimension of the bulk makes it difficult to extract the radiated part of the field. In this paper, we consider a simplified problem of scalar radiation from a point charge localized on a brane in the framework of the scalar field analog of the DGP model. In this model, the scalar field on the brane can be represented as a continuous spectrum of Kaluza-Klein massive modes. To extract the emitted part of such a field, we generalize the Rohrlich-Teitelboim approach to radiation to the case of a massive four-dimensional field, using its connections to massless fields in four and five dimensions. In the case of a charge moving along a circular trajectory, we obtain the dependence of the radiation energy flux through a 2-sphere localized on the brane on the sphere radius, which provides the intensity of leakage of scalar radiation from the brane. Consistent with the infrared transparency of the bulk, the leakage intensity is found to be higher for low frequency signals. We are also analyzing the possibility of detecting this leak by current and future gravitational-wave observatories.

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Synchrotron radiation in odd dimensions

Cited by 10 publications

References 86 publications

Gravitational radiation from a binary system in odd-dimensional spacetime

Gravitational radiation from a binary system in odd-dimensional spacetime

Regularization of electromagnetic field for self-force problem in de Sitter spacetime

Leakage of gravitational waves into an extra dimension in the DGP model

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