Interaction between gravitational waves and plasma waves in the Vlasov description

Brodin, Gert; Forsberg, Mats; Marklund, Mattias; Eriksson, D.

doi:10.1017/s0022377809990535

Cited by 13 publications

(10 citation statements)

References 54 publications

(94 reference statements)

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“…As discussed in Sec. III A, the linear wave equation is invariant with respect to gauge transformations (27). Within the GO limit, the wave equation is Eq.…”

Section: Short-wavelength Approximationmentioning

confidence: 99%

“…Although GW-matter coupling has been studied in the past, the backreation of matter on metric oscillations is usually ignored (for example, see Refs. [25][26][27][28][29][30]) or described in an ad hoc manner. For example, the polarization of gravitational modes interacting with gases and plasmas is typically assumed either based on symmetry considerations for an isotropic background [31] or simply adopted to be transverse-traceless in line with the vacuum polarizations.…”

Section: Introductionmentioning

confidence: 99%

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Gravitational wave modes in matter

Garg,

Dodin

2022

Preprint

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A general linear gauge-invariant equation for dispersive gravitational waves (GWs) propagating in matter is derived. This equation describes, on the same footing, both the usual tensor modes and the gravitational modes strongly coupled with matter. It is shown that the effect of matter on the former is comparable to diffraction and therefore negligible within the geometrical-optics approximation. However, this approximation is applicable to modes strongly coupled with matter due to their large refractive index. GWs in ideal gas are studied using the kinetic average-Lagrangian approach and the gravitational polarizability of matter that we have introduced earlier. In particular, we show that this formulation subsumes the kinetic Jeans instability as a collective GW mode with a peculiar polarization, which is derived from the dispersion matrix rather than assumed a priori. This forms a foundation for systematically extending GW theory to GW interactions with plasmas, where symmetry considerations alone are insufficient to predict the wave polarization.

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“…As discussed in Sec. III A, the linear wave equation is invariant with respect to gauge transformations (27). Within the GO limit, the wave equation is Eq.…”

Section: Short-wavelength Approximationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Gravitational wave modes in matter

Garg,

Dodin

2022

Preprint

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“…Another application concerns the damping of gravitational waves in the early universe before the time of recombination. The conversion of gravitational waves into plasma waves has been studied in the literature focusing on linear resonant conversion [20] or the non-linear interaction of two plasma and one gravitational wave [21][22][23][24], in the presence of a strong background magnetic fields. Our analysis fits nicely into this area providing a new conversion process with the same order of magnitude for the growth parameter as for the three wave interaction [24], without requiring a strong background magnetic field to exist in the first place, provided that the plasma mass is sufficiently small compared to the frequency of the gravitational wave m 2 plasma < (1 − c 2 s )ω 2 /4.…”

Section: Conclusion and Discussionmentioning

confidence: 99%

Graviton to Photon Conversion via Parametric Resonance

Brandenberger¹,

Delgado²,

Ganz³

et al. 2022

Preprint

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We study the parametric resonance excitation of the electromagnetic field by a gravitational wave. We show that there is narrow band resonance. For an electromagnetic field in the vacuum the resonance occurs only in the second band, and its strength is thus suppressed by two powers of the Planck mass. On the other hand, in the case of an electromagnetic field in a medium with the speed of light smaller than 1 (in natural units), there is a band of Fourier modes which undergo resonance in the first band.

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“…The recent detections of GWs [5][6][7][8] have corroborated the significance of these modes, providing grounds for such a focus. However, also of interest are GW interactions with matter and nonlinear GWs [21][22][23][24][25][26][27][28][29][30][31][32][33][34][35][36][37][38][39]. The theory of such waves is more complicated.…”

Section: Introductionmentioning

confidence: 99%

Gauge-invariant gravitational waves in matter beyond linearized gravity

Garg¹,

Dodin²

2021

Preprint

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Reduced theories of gravitational waves (GWs) often grapple with untangling the physical effects from coordinate artifacts. Here we show how to reinstate gauge invariance within a reduced theory of weakly nonlinear GWs in a general background metric and in the presence of matter. An exactly gauge-invariant "quasilinear" theory is proposed, in which GWs are governed by linear equations but also affect the background metric on scales large compared to their wavelength. As a corollary, the gauge-invariant geometrical optics of linear dispersive GWs in a general background is reported. We also show how gauge invariance can be maintained within a given accuracy if nonlinearities are included up to an arbitrary order in the GW amplitude.

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Interaction between gravitational waves and plasma waves in the Vlasov description

Cited by 13 publications

References 54 publications

Gravitational wave modes in matter

Gravitational wave modes in matter

Graviton to Photon Conversion via Parametric Resonance

Gauge-invariant gravitational waves in matter beyond linearized gravity

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