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      On a basic conceptual confusion in gravitational radiation theory

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          Abstract

          In much of the literature on linearized gravitational waves two completely different notions are called transverse traceless modes and labelled \(h_{ab}^{TT}\), often in different sections of the same reference, without realizing the underlying inconsistency. We compare and contrast the two notions and find that the difference persists even at leading asymptotic order near future null infinity \(\mathit{I}^+\). We discuss why the distinction has nonetheless remained largely unnoticed, and also point out that there are some important physical effects where only one of the notions gives the correct answer.

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          Radiative degrees of freedom of the gravitational field in exact general relativity

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            Asymptotic structure of electrodynamics revisited

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              An electromagnetic analog of gravitational wave memory

              We present an electromagnetic analog of gravitational wave memory. That is, we consider what change has occurred to a detector of electromagnetic radiation after the wave has passed. Rather than a distortion in the detector, as occurs in the gravitational wave case, we find a residual velocity (a "kick") to the charges in the detector. In analogy with the two types of gravitational wave memory ("ordinary" and "nonlinear") we find two types of electromagnetic kick.
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                Author and article information

                Journal
                24 July 2017
                Article
                1707.07729
                d95a9e2f-f25d-4ca7-a284-63200d84d9c5

                http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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                6 pages
                gr-qc

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