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Exact solution to the homogeneous Maxwell equations in the field of a gravitational wave in linearized theory

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Mirco Calura, Enrico Montanari (University of Ferrara, INFN sezione di Ferrara, Italy)

General Relativity and Quantum Cosmology · Submitted 27 Oct 1998

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim We show that in general, even dealing with a first-order theory in the strength of the gravitational field, the solution can not be written as the sum of the flat space-time one and a weak perturbation due to the external field.

how it is stated · asserted 1.00 read the record →

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arXiv IDgr-qc/9810082 (version 1)
Pith IDIJALVUSL, Pith's permanent record of this paper and its review
CitationEnrico Montanari (University of Ferrara, INFN sezione di Ferrara, Italy), Mirco Calura. "Exact solution to the homogeneous Maxwell equations in the field of a gravitational wave in linearized theory." arXiv:gr-qc/9810082 (1998). https://pith.science/paper/IJALVUSL
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The compiled record

The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 3,604 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.05 · states limitation 0.82 · human participants 0.01 · controlled comparison 0.10 · randomized assignment 0.01 · states quantitative result 0.07 · compares with prior results 0.43 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; .

We present the exact solution to the linearized Maxwell equations in space-time slightly curved by a gravitational wave. We show that in general, even dealing with a first-order theory in the strength of the gravitational field, the solution can not be written as the sum of the flat space-time one and a weak perturbation due to the external field. Such an impossibility arises when either the frequency of the gravitational wave is too low or too high with respect to the one of the electromagnetic field. We also provide an application of the solution to the case of an electromagnetic field bounced between two parallel conducting planes.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 We present the exact solution to the linearized Maxwell equations in space-time slightly curved by a gravitational wave. contribution 0.94 0.96 0.33 asserted 1.00
s1 We show that in general, even dealing with a first-order theory in the strength of the gravitational field, the solution can not be written as the sum of the flat space-time one and a weak perturbation due to the external field. result 1.00 0.94 0.75 asserted 1.00
s2 Such an impossibility arises when either the frequency of the gravitational wave is too low or too high with respect to the one of the electromagnetic field. result 0.53 0.83 0.24 asserted 0.96
s3 We also provide an application of the solution to the case of an electromagnetic field bounced between two parallel conducting planes. contribution 0.97 0.93 0.04 asserted 1.00

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 1.00.

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  • C citations
  • R cross-paper relations

Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

We present the exact solution to the linearized Maxwell equations in space-time slightly curved by a gravitational wave. We show that in general, even dealing with a first-order theory in the strength of the gravitational field, the solution can not be written as the sum of the flat space-time one and a weak perturbation due to the external field. Such an impossibility arises when either the frequency of the gravitational wave is too low or too high with respect to the one of the electromagnetic field. We also provide an application of the solution to the case of an electromagnetic field bounced between two parallel conducting planes.

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References
How the literature uses it

2 arXiv papers cite this in 2 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 1 sentence without a confident label

Cites it as background 1 paper
  • Among others, Calura and Montanari [ref] solved Maxwell's equations only in the framework of the linearized general relativity and provided the exact solution to the problem, expressed like the Fourier-integral, by considering a general case for the GW frequency, rather than using the geometrical-optics approximation.

    Detection of gravitational waves by light perturbation · Introduction · 0.91

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