Final published version, 332 KB, PDF document
Available under license: CC BY: Creative Commons Attribution 4.0 International License
Final published version
Licence: CC BY: Creative Commons Attribution 4.0 International License
Research output: Contribution to Journal/Magazine › Journal article › peer-review
Research output: Contribution to Journal/Magazine › Journal article › peer-review
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TY - JOUR
T1 - The Distributional Stress–Energy Quadrupole and Gravitational Waves
AU - Gratus, Jonathan
AU - Talaganis, Spyridon
PY - 2023/12/15
Y1 - 2023/12/15
N2 - In this overview, we discuss the (Schwartz) distributional stress–energy quadrupole and show it is a source of gravitational waves. We provide an explicit formula for the metric of linearised gravity in the case of a background Minkowski spacetime. We compare and contrast the two different representations for quadrupoles taken by Dixon and Ellis, present the formula for the dynamics of the quadrupole moments, and determine the number of free components. We review other approaches to the dynamics of quadrupoles, comparing our results.
AB - In this overview, we discuss the (Schwartz) distributional stress–energy quadrupole and show it is a source of gravitational waves. We provide an explicit formula for the metric of linearised gravity in the case of a background Minkowski spacetime. We compare and contrast the two different representations for quadrupoles taken by Dixon and Ellis, present the formula for the dynamics of the quadrupole moments, and determine the number of free components. We review other approaches to the dynamics of quadrupoles, comparing our results.
KW - Schartz Distributions
KW - dynamical equations
KW - gravitational sources;
U2 - 10.3390/universe9120518
DO - 10.3390/universe9120518
M3 - Journal article
VL - 9
JO - Universe
JF - Universe
IS - 12
M1 - 518
ER -