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The distributional stress-energy quadrupole

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The distributional stress-energy quadrupole. / Gratus, Jonathan; Pinto, Paolo; Talaganis, Spyridon.

In: Classical and Quantum Gravity, Vol. 38, No. 3, 035011, 23.12.2020.

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@article{e6ef43cb7a6c4cb08738e4f0072def53,
title = "The distributional stress-energy quadrupole",
abstract = "We investigate stress-energy tensors constructed from the delta function on a worldline. We concentrate on quadrupoles as they make an excellent model for the dominant source of gravitational waves and have significant novel features. Unlike the dipole, we show that the quadrupole has 20 free components which are not determined by the properties of the stress-energy tensor. These need to be derived from an underlying model and we give an example motivated from a divergent-free dust. We show that the components corresponding to the partial derivatives representation of the quadrupole, have a gauge like freedom. We give the change of coordinate formula which involves second derivatives and two integrals. We also show how to define the quadrupole without reference to a coordinate systems or a metric. For the representation using covariant derivatives, we show how to split a quadrupole into a pure monopole, pure dipole and pure quadrupole in a coordinate free way.",
keywords = "de Rham Currents, Gravitational wave sources, general relativity, gravity, Coordinate free approach, coordinate transformations, stress energy tensors",
author = "Jonathan Gratus and Paolo Pinto and Spyridon Talaganis",
year = "2020",
month = dec,
day = "23",
doi = "10.1088/1361-6382/abccde",
language = "English",
volume = "38",
journal = "Classical and Quantum Gravity",
issn = "0264-9381",
publisher = "IOP Publishing",
number = "3",

}

RIS

TY - JOUR

T1 - The distributional stress-energy quadrupole

AU - Gratus, Jonathan

AU - Pinto, Paolo

AU - Talaganis, Spyridon

PY - 2020/12/23

Y1 - 2020/12/23

N2 - We investigate stress-energy tensors constructed from the delta function on a worldline. We concentrate on quadrupoles as they make an excellent model for the dominant source of gravitational waves and have significant novel features. Unlike the dipole, we show that the quadrupole has 20 free components which are not determined by the properties of the stress-energy tensor. These need to be derived from an underlying model and we give an example motivated from a divergent-free dust. We show that the components corresponding to the partial derivatives representation of the quadrupole, have a gauge like freedom. We give the change of coordinate formula which involves second derivatives and two integrals. We also show how to define the quadrupole without reference to a coordinate systems or a metric. For the representation using covariant derivatives, we show how to split a quadrupole into a pure monopole, pure dipole and pure quadrupole in a coordinate free way.

AB - We investigate stress-energy tensors constructed from the delta function on a worldline. We concentrate on quadrupoles as they make an excellent model for the dominant source of gravitational waves and have significant novel features. Unlike the dipole, we show that the quadrupole has 20 free components which are not determined by the properties of the stress-energy tensor. These need to be derived from an underlying model and we give an example motivated from a divergent-free dust. We show that the components corresponding to the partial derivatives representation of the quadrupole, have a gauge like freedom. We give the change of coordinate formula which involves second derivatives and two integrals. We also show how to define the quadrupole without reference to a coordinate systems or a metric. For the representation using covariant derivatives, we show how to split a quadrupole into a pure monopole, pure dipole and pure quadrupole in a coordinate free way.

KW - de Rham Currents

KW - Gravitational wave sources

KW - general relativity

KW - gravity

KW - Coordinate free approach

KW - coordinate transformations

KW - stress energy tensors

U2 - 10.1088/1361-6382/abccde

DO - 10.1088/1361-6382/abccde

M3 - Journal article

VL - 38

JO - Classical and Quantum Gravity

JF - Classical and Quantum Gravity

SN - 0264-9381

IS - 3

M1 - 035011

ER -