Tidal deformations of neutron stars: the role of stratification and elasticity
Tidal deformations of neutron stars: the role of stratification and elasticity
We discuss the response of neutron stars to the tidal interaction in a compact binary system, as encoded in the Love number associated with the induced deformation. This problem is of interest for gravitational-wave astronomy as there may be a detectable imprint on the signal from the late stages of binary coalescence. Previous work has focused on simple barotropic neutron star models, providing an understanding of the role of the stellar compactness and overall density profile. We add realism to the discussion by developing the framework required to model stars with varying composition and an elastic crust. These effects are not expected to be significant for the next generation of detectors, but it is nevertheless useful to be able to quantify them. Our results show that (perhaps surprisingly) internal stratification has no impact whatsoever on the Love number. We also show that crust elasticity provides a (predictably) small correction to existing models.
103006-[14 pages]
Penner, A.
c8a143e1-6444-4bcc-b0d5-df666d0928b7
Andersson, N.
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Samuelsson, L.
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Hawke, I.
fc964672-c794-4260-a972-eaf818e7c9f4
Jones, D.
b8f3e32c-d537-445a-a1e4-7436f472e160
15 November 2011
Penner, A.
c8a143e1-6444-4bcc-b0d5-df666d0928b7
Andersson, N.
2dd6d1ee-cefd-478a-b1ac-e6feedafe304
Samuelsson, L.
972a981e-08d5-4c5e-a462-fa36c0af9faa
Hawke, I.
fc964672-c794-4260-a972-eaf818e7c9f4
Jones, D.
b8f3e32c-d537-445a-a1e4-7436f472e160
Penner, A., Andersson, N., Samuelsson, L., Hawke, I. and Jones, D.
(2011)
Tidal deformations of neutron stars: the role of stratification and elasticity.
Physical Review D, 84 (10), .
(doi:10.1103/PhysRevD.84.103006).
Abstract
We discuss the response of neutron stars to the tidal interaction in a compact binary system, as encoded in the Love number associated with the induced deformation. This problem is of interest for gravitational-wave astronomy as there may be a detectable imprint on the signal from the late stages of binary coalescence. Previous work has focused on simple barotropic neutron star models, providing an understanding of the role of the stellar compactness and overall density profile. We add realism to the discussion by developing the framework required to model stars with varying composition and an elastic crust. These effects are not expected to be significant for the next generation of detectors, but it is nevertheless useful to be able to quantify them. Our results show that (perhaps surprisingly) internal stratification has no impact whatsoever on the Love number. We also show that crust elasticity provides a (predictably) small correction to existing models.
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Published date: 15 November 2011
Organisations:
Applied Mathematics
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Local EPrints ID: 338029
URI: http://eprints.soton.ac.uk/id/eprint/338029
ISSN: 1550-7998
PURE UUID: e22dc59f-f3c4-404b-81e9-1bc81cfb48c9
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Date deposited: 09 May 2012 13:38
Last modified: 15 Mar 2024 03:22
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Author:
A. Penner
Author:
L. Samuelsson
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