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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| Main Authors: | , |
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| Other Authors: | |
| Format: | Article |
| Language: | English |
| Published: |
2022
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| Subjects: | |
| Online Access: | https://hdl.handle.net/10356/161443 |
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| Institution: | Nanyang Technological University |
| Language: | English |
| Summary: | 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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