Time-domain metric reconstruction using the Hertz potential
Time-domain metric reconstruction using the Hertz potential
Historically the Teukolsky equation corresponding to gravitational perturbations, such as a point particle in a background Kerr spacetime, is solved for Weyl-like scalars. However, reconstructing the metric from these scalars involves solving a fourth-order PDE to obtain the Hertz potential and then acting with a second-order differential operator to construct the metric perturbation. Solving the (adjoint) Teukolsky equation for the Hertz potential directly simplifies the metric reconstruction procedure to applying the second-order operator. We discuss using this method in the time domain with a point particle source and its foreseeable application in self-force calculations.
Long, Oliver
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Barack, Leor
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Long, Oliver
e20e8ea1-61c1-4998-9bf1-6938e7b8cdcb
Barack, Leor
f08e66d4-c2f7-4f2f-91b8-f2c4230d0298
Long, Oliver and Barack, Leor
(2020)
Time-domain metric reconstruction using the Hertz potential.
3rd meeting of the GWVerse COST action, Institute for Fundamental Physics of the Universe, Trieste, Italy.
13 - 16 Jan 2020.
Record type:
Conference or Workshop Item
(Poster)
Abstract
Historically the Teukolsky equation corresponding to gravitational perturbations, such as a point particle in a background Kerr spacetime, is solved for Weyl-like scalars. However, reconstructing the metric from these scalars involves solving a fourth-order PDE to obtain the Hertz potential and then acting with a second-order differential operator to construct the metric perturbation. Solving the (adjoint) Teukolsky equation for the Hertz potential directly simplifies the metric reconstruction procedure to applying the second-order operator. We discuss using this method in the time domain with a point particle source and its foreseeable application in self-force calculations.
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Trieste Poster
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Accepted/In Press date: 14 January 2020
e-pub ahead of print date: 14 January 2020
Venue - Dates:
3rd meeting of the GWVerse COST action, Institute for Fundamental Physics of the Universe, Trieste, Italy, 2020-01-13 - 2020-01-16
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Local EPrints ID: 467664
URI: http://eprints.soton.ac.uk/id/eprint/467664
PURE UUID: 158f0801-e5c1-4489-b7eb-0ba360aaa32a
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Date deposited: 18 Jul 2022 18:22
Last modified: 17 Mar 2024 04:12
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Author:
Oliver Long
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