Average nonlinear dynamics of particles in gravitational pulses: Effective Hamiltonian, secular acceleration, and gravitational susceptibility

Garg, Deepen; Dodin, I. Y.

doi:10.1103/physrevd.102.064012

Cited by 8 publications

(25 citation statements)

References 70 publications

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“…GWs in ideal gas are studied using the corresponding gravitational polarizability (69), which we derived earlier in Ref. [63]. This formulation subsumes the Jeans instability (Sec.…”

Section: Discussionmentioning

confidence: 99%

“…In application to GWs, Whitham's approach has been used before [15,[57][58][59][60][61][62], but here we explicitly employ the average Lagrangian and the gravitational polarizability of matter (specifically, ideal gas, as an example) in oscillating gravitational field, which we introduced earlier in Ref. [63]. This approach is convenient in that it shortens the calculations.…”

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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“…GWs in ideal gas are studied using the corresponding gravitational polarizability (69), which we derived earlier in Ref. [63]. This formulation subsumes the Jeans instability (Sec.…”

Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Gravitational wave modes in matter

Garg,

Dodin

2022

Preprint

Self Cite

View full text Add to dashboard Cite

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“…In a followup paper, we will combine these results with those of our earlier Ref. [61], where the action S (2) was explicitly calculated for GWs interacting with a neutral gas and ponderomotive GW effects were introduced. This will lead to a rigorous variational GO theory of GWs in a neutral gas, where GWs are hybridized with kinetic sound waves.…”

Section: Discussionmentioning

confidence: 89%

“…An example of S (2) [g, h] that emerges from the quasimonochromatic-GW interaction with neutral gas was derived in Ref. [61] as a part of studying the ponderomotive effect of GWs on matter.…”

Section: Variational Approachmentioning

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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“…This problem has a well-known solution for the Minkowski background [2], and it has also been solved ad hoc for the Friedmann-Lemaître-Robertson-Walker background [3][4][5][6][7][8]. However, less attention has been paid to general background metrics, particularly those that emerge in problems involving GW-matter coupling [9][10][11][12][13][14][15][16][17][18][19][20][21][22][23]. This leads to the question: how can one find the invariant part of h αβ for general g αβ ?…”

Section: Introductionmentioning

confidence: 99%

Gauge invariants of linearized gravity with a general background metric

Garg¹,

Dodin²

2021

Preprint

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A general method is proposed for identifying the gauge-invariant part of the metric perturbation within linearized gravity, and the six independent gauge invariants per se, for an arbitrary background metric. For the Minkowski background, the operator that projects the metric perturbation on the invariant subspace is proportional to the well-known dispersion operator of linear gravitational waves in vacuum.

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Average nonlinear dynamics of particles in gravitational pulses: Effective Hamiltonian, secular acceleration, and gravitational susceptibility

Cited by 8 publications

References 70 publications

Gravitational wave modes in matter

Gravitational wave modes in matter

Gauge-invariant gravitational waves in matter beyond linearized gravity

Gauge invariants of linearized gravity with a general background metric

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