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The tensorial representation of the distributional stress-energy quadrupole and its dynamics

Research output: Working paper › Preprint

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The tensorial representation of the distributional stress-energy quadrupole and its dynamics. / Gratus, Jonathan; Talaganis, Spyridon.
Arxiv, 2022.

Research output: Working paper › Preprint

Harvard

Gratus, J & Talaganis, S 2022 'The tensorial representation of the distributional stress-energy quadrupole and its dynamics' Arxiv. <https://arxiv.org/abs/2211.03467v1>

APA

Gratus, J., & Talaganis, S. (2022). The tensorial representation of the distributional stress-energy quadrupole and its dynamics. Arxiv. https://arxiv.org/abs/2211.03467v1

Vancouver

Gratus J, Talaganis S. The tensorial representation of the distributional stress-energy quadrupole and its dynamics. Arxiv. 2022 Nov 7.

Author

Gratus, Jonathan ; Talaganis, Spyridon. / The tensorial representation of the distributional stress-energy quadrupole and its dynamics. Arxiv, 2022.

Bibtex

@techreport{b202a16eec2b4d72b7a8921de159e29c,
title = "The tensorial representation of the distributional stress-energy quadrupole and its dynamics",
abstract = "We investigate stress-energy tensors constructed from the covariant derivatives of delta functions on a worldline. Since covariant derivatives are used all the components transform as tensors. We derive the dynamical equations for the components, up to quadrupole order. The components do, however, depend in a non-tensorial way, on a choice of a vector along the worldline. We also derive a number of important results about general multipoles, including that their components are unique, and all multipoles can be written using covariant derivatives. We show how the components of a multipole are related to standard moments of a tensor field, by parallelly transporting that tensor field.",
keywords = "math-ph, gr-qc, math.MP, 83C40, 83C25, 53Z05, 46F99",
author = "Jonathan Gratus and Spyridon Talaganis",
note = "27 pages, 2 figures",
year = "2022",
month = nov,
day = "7",
language = "English",
publisher = "Arxiv",
type = "WorkingPaper",
institution = "Arxiv",

}

RIS

TY - UNPB

T1 - The tensorial representation of the distributional stress-energy quadrupole and its dynamics

AU - Gratus, Jonathan

AU - Talaganis, Spyridon

N1 - 27 pages, 2 figures

PY - 2022/11/7

Y1 - 2022/11/7

N2 - We investigate stress-energy tensors constructed from the covariant derivatives of delta functions on a worldline. Since covariant derivatives are used all the components transform as tensors. We derive the dynamical equations for the components, up to quadrupole order. The components do, however, depend in a non-tensorial way, on a choice of a vector along the worldline. We also derive a number of important results about general multipoles, including that their components are unique, and all multipoles can be written using covariant derivatives. We show how the components of a multipole are related to standard moments of a tensor field, by parallelly transporting that tensor field.

AB - We investigate stress-energy tensors constructed from the covariant derivatives of delta functions on a worldline. Since covariant derivatives are used all the components transform as tensors. We derive the dynamical equations for the components, up to quadrupole order. The components do, however, depend in a non-tensorial way, on a choice of a vector along the worldline. We also derive a number of important results about general multipoles, including that their components are unique, and all multipoles can be written using covariant derivatives. We show how the components of a multipole are related to standard moments of a tensor field, by parallelly transporting that tensor field.

KW - math-ph

KW - gr-qc

KW - math.MP

KW - 83C40, 83C25, 53Z05, 46F99

M3 - Preprint

BT - The tensorial representation of the distributional stress-energy quadrupole and its dynamics

PB - Arxiv

ER -