Peeling property and asymptotic symmetries with a cosmological constant
This paper establishes two things in an asymptotically (anti-)de Sitter spacetime, by direct computations in the physical spacetime (i.e. with no involvement of spacetime compactification): (1) The peeling property of the Weyl spinor is guaranteed. In the case where there are Maxwell fields prese...
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sg-ntu-dr.10356-1614432022-09-02T03:51:41Z Peeling property and asymptotic symmetries with a cosmological constant Saw, Vee-Liem Thun, Freeman Chee Siong School of Physical and Mathematical Sciences Data Science and Artificial Intelligence Research Centre Science::Physics Gravitational Radiation Asymptotic Symmetries This paper establishes two things in an asymptotically (anti-)de Sitter spacetime, by direct computations in the physical spacetime (i.e. with no involvement of spacetime compactification): (1) The peeling property of the Weyl spinor is guaranteed. In the case where there are Maxwell fields present, the peeling properties of both Weyl and Maxwell spinors similarly hold, if the leading order term of the spin coefficient $\rho$ when expanded as inverse powers of $r$ (where $r$ is the usual spherical radial coordinate, and $r\rightarrow\infty$ is null infinity, $\mathcal{I}$) has coefficient $-1$. (2) In the absence of gravitational radiation (a conformally flat $\mathcal{I}$), the group of asymptotic symmetries is trivial, with no room for supertranslations. V.-L. Saw was supported by the University of Otago Doctoral Scholarship, when the work on the peeling property was carried out in the University of Otago, New Zealand. 2022-09-02T03:51:41Z 2022-09-02T03:51:41Z 2020 Journal Article Saw, V. & Thun, F. C. S. (2020). Peeling property and asymptotic symmetries with a cosmological constant. International Journal of Modern Physics D, 29(3), 2050020-. https://dx.doi.org/10.1142/S0218271820500200 0218-2718 https://hdl.handle.net/10356/161443 10.1142/S0218271820500200 2-s2.0-85079767128 3 29 2050020 en International Journal of Modern Physics D © 2020 World Scientific Publishing Company. All rights reserved. |
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Science::Physics Gravitational Radiation Asymptotic Symmetries Saw, Vee-Liem Thun, Freeman Chee Siong Peeling property and asymptotic symmetries with a cosmological constant |
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This paper establishes two things in an asymptotically (anti-)de Sitter
spacetime, by direct computations in the physical spacetime (i.e. with no
involvement of spacetime compactification): (1) The peeling property of the
Weyl spinor is guaranteed. In the case where there are Maxwell fields present,
the peeling properties of both Weyl and Maxwell spinors similarly hold, if the
leading order term of the spin coefficient $\rho$ when expanded as inverse
powers of $r$ (where $r$ is the usual spherical radial coordinate, and
$r\rightarrow\infty$ is null infinity, $\mathcal{I}$) has coefficient $-1$. (2)
In the absence of gravitational radiation (a conformally flat $\mathcal{I}$),
the group of asymptotic symmetries is trivial, with no room for
supertranslations. |
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School of Physical and Mathematical Sciences |
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School of Physical and Mathematical Sciences Saw, Vee-Liem Thun, Freeman Chee Siong |
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Article |
author |
Saw, Vee-Liem Thun, Freeman Chee Siong |
author_sort |
Saw, Vee-Liem |
title |
Peeling property and asymptotic symmetries with a cosmological constant |
title_short |
Peeling property and asymptotic symmetries with a cosmological constant |
title_full |
Peeling property and asymptotic symmetries with a cosmological constant |
title_fullStr |
Peeling property and asymptotic symmetries with a cosmological constant |
title_full_unstemmed |
Peeling property and asymptotic symmetries with a cosmological constant |
title_sort |
peeling property and asymptotic symmetries with a cosmological constant |
publishDate |
2022 |
url |
https://hdl.handle.net/10356/161443 |
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1744365387762368512 |