Shallow water memory: Stokes and Darwin drifts

Sheikh-Jabbari, Mohammad Mehdi; Taghiloo, Vahid; Vahidinia, Mohammad Hassan

doi:10.21468/scipostphys.15.3.115

Cited by 5 publications

(3 citation statements)

References 41 publications

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“…Here, and throughout the rest of this paper, we restrict the discussion to gravitational effects, although similar effects in a variety of other theories have been considered as well (see, for example,[4][5][6][7][8][9][10][11][12]). 2 Note that this definition is the contrapositive of the original definition in Paper I, and so is equivalent.…”

mentioning

confidence: 99%

Persistent gravitational wave observables: Curve deviation in asymptotically flat spacetimes

Grant

Nichols

2022

Phys. Rev. D

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The usual gravitational wave memory effect can be understood as a change in the separation of two initially comoving observers due to a burst of gravitational waves. Over the past few decades, a wide variety of other, "persistent" observables which measure permanent effects on idealized detectors have been introduced, each probing distinct physical effects. These observables can be defined in (regions of) any spacetime where there exists a notion of radiation, such as perturbation theory off of a fixed background, nonlinear plane wave spacetimes, or asymptotically flat spacetimes. Many of the persistent observables defined in the literature have been considered only in asymptotically flat spacetimes, and the perturbative nature of such calculations has occasionally obscured deeper relationships between these observables that hold more generally. The goal of this paper is to show how these more general results arise, and to do so we focus on two observables related to the separation between two, potentially accelerated observers. The first is the curve deviation, which is a natural generalization of the displacement memory, and also contains what this paper proposes to call drift memory (previously called "subleading displacement memory") and ballistic memory. The second is a relative proper time shift that arises between the two observers, either at second order in their initial separation and relative velocity, or in the presence of relative acceleration. The results of this paper are, where appropriate, entirely non-perturbative in the curvature of spacetime, and so could be used beyond leading order in asymptotically flat spacetimes.

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mentioning

confidence: 99%

Persistent gravitational wave observables: Curve deviation in asymptotically flat spacetimes

Grant

Nichols

2022

Phys. Rev. D

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“…In order to derive the form of Taylor's theorem in equation (12), we need to show that symmetrized derivatives of Synge's world function take the following form:…”

Section: Appendix Coincidence Limits Of Symmetrized Derivativesmentioning

confidence: 99%

mentioning

confidence: 99%

Persistent gravitational wave observables: nonlinearities in (non-)geodesic deviation

Grant

2024

Class. Quantum Grav.

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The usual gravitational wave memory effect can be understood as a change in the separation of two initially comoving observers due to a burst of gravitational waves. Over the past few decades, a wide variety of other, ‘persistent’ observables which measure permanent effects on idealized detectors have been introduced, each probing distinct physical effects. These observables can be defined in (regions of) any spacetime where there exists a notion of radiation, such as perturbation theory off of a fixed background, nonlinear plane wave spacetimes, or asymptotically flat spacetimes. Many of the persistent observables defined in the literature have only been considered in asymptotically flat spacetimes, and the perturbative nature of such calculations has occasionally obscured deeper relationships between these observables that hold more generally. The goal of this paper is to show how these more general results arise, and to do so we focus on two observables related to the separation between two, potentially accelerated observers. The first is the curve deviation, which is a natural generalization of the displacement memory, and also contains what this paper proposes to call drift memory (previously called ‘subleading displacement memory’) and ballistic memory. The second is a relative proper time shift that arises between the two observers, either at second order in their initial separation and relative velocity, or in the presence of relative acceleration. The results of this paper are, where appropriate, entirely non-perturbative in the curvature of spacetime, and so could be used beyond leading order in asymptotically flat spacetimes.

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What can abelian gauge theories teach us about kinematic algebras?

Armstrong-Williams,

Nagy,

White

et al. 2024

J. High Energ. Phys.

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The phenomenon of BCJ duality implies that gauge theories possess an abstract kinematic algebra, mirroring the non-abelian Lie algebra underlying the colour information. Although the nature of the kinematic algebra is known in certain cases, a full understanding is missing for arbitrary non-abelian gauge theories, such that one typically works outwards from well-known examples. In this paper, we pursue an orthogonal approach, and argue that simpler abelian gauge theories can be used as a testing ground for clarifying our understanding of kinematic algebras. We first describe how classes of abelian gauge fields are associated with well-defined subalgebras of the diffeomorphism algebra. By considering certain special subalgebras, we show that one may construct interacting theories, whose kinematic algebras are inherited from those already appearing in a related abelian theory. Known properties of (anti-)self-dual Yang-Mills theory arise in this way, but so do new generalisations, including self-dual electromagnetism coupled to scalar matter. Furthermore, a recently obtained non-abelian generalisation of the Navier-Stokes equation fits into a similar scheme, as does Chern-Simons theory. Our results provide useful input to further conceptual studies of kinematic algebras.

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Shallow water memory: Stokes and Darwin drifts

Cited by 5 publications

References 41 publications

Persistent gravitational wave observables: Curve deviation in asymptotically flat spacetimes

Persistent gravitational wave observables: Curve deviation in asymptotically flat spacetimes

Persistent gravitational wave observables: nonlinearities in (non-)geodesic deviation

What can abelian gauge theories teach us about kinematic algebras?

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