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Slowly decaying waves on spherically symmetric spacetimes and ultracompact neutron stars

Abstract:

We prove that, in a class of spherically symmetric spacetimes exhibiting stable trapping of null geodesics, linear waves cannot (uniformly) decay faster than logarithmically. When these linear waves are treated as a model for nonlinear perturbations, this slow decay is highly suggestive of nonlinear instability. We also prove that, in a large class of asymptotically flat, spherically symmetric spacetimes, logarithmic decay actually holds as a uniform upper bound. In the presence of stable tra...

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Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1088/0264-9381/33/13/135009

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Institution:
University of Oxford
Division:
MPLS Division
Department:
Mathematical Institute
Oxford college:
Queens College
Role:
Author
Publisher:
IOP Publishing Publisher's website
Journal:
Classical and Quantum Gravity Journal website
Volume:
33
Issue:
13
Article number:
135009
Publication date:
2016-06-03
Acceptance date:
2016-05-10
DOI:
EISSN:
1361-6382
ISSN:
0264-9381
Keywords:
Pubs id:
pubs:1081366
UUID:
uuid:e30ee69c-2438-49ec-bb2e-939365194b90
Local pid:
pubs:1081366
Source identifiers:
1081366
Deposit date:
2020-01-09

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