Slowly decaying waves on spherically symmetric spacetimes and ultracompact neutron stars
Accepted version
Peer-reviewed
Repository URI
Repository DOI
Change log
Authors
Keir, Joe
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 trapping, this result is therefore the best one can obtain. In addition, we provide an application of these results to ultracompact neutron stars, suggesting that all stars with
Description
Keywords
4901 Applied Mathematics, 49 Mathematical Sciences, 5101 Astronomical Sciences, 51 Physical Sciences
Journal Title
Classical and Quantum Gravity
Conference Name
Journal ISSN
0264-9381
1361-6382
1361-6382
Volume Title
33
Publisher
IOP Publishing
Publisher DOI
Sponsorship
European Research Council (279363)
This work was supported by the European Research Council Grant No. ERC-2011-StG 279363-HiDGR.