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Mountains on neutron stars: accreted versus non-accreted crusts

Mountains on neutron stars: accreted versus non-accreted crusts
Mountains on neutron stars: accreted versus non-accreted crusts
The aim of this paper is to compare the two cases of an isolated neutron star, with a non-accreted crust, and that of an accreting neutron star, with an accreted crust, and try to estimate which one of the two would make a better source of gravitational waves. In order to do this, we must evaluate the maximum 'mountain' that the crust can sustain in these two cases. We first do this using the formalism of Ushomirsky, Cutler & Bildsten and find that the maximum quadrupole is very similar in the two cases, with the non-accreted crust sustaining a slightly larger mountain. We then develop a perturbation formalism for the problem, that allows us to drop the Cowling approximation and have more control over the boundaries. The use of this formalism confirms that there is not much difference between the two cases, but leads to results approximately one order of magnitude larger than those we obtain with the formalism of Ushomirsky et al.
0035-8711
1423-1439
Haskell, B.
a3c09067-6932-45cc-902d-3b7117ec848d
Jones, D.I.
b8f3e32c-d537-445a-a1e4-7436f472e160
Andersson, N.
2dd6d1ee-cefd-478a-b1ac-e6feedafe304
Haskell, B.
a3c09067-6932-45cc-902d-3b7117ec848d
Jones, D.I.
b8f3e32c-d537-445a-a1e4-7436f472e160
Andersson, N.
2dd6d1ee-cefd-478a-b1ac-e6feedafe304

Haskell, B., Jones, D.I. and Andersson, N. (2006) Mountains on neutron stars: accreted versus non-accreted crusts. Monthly Notices of the Royal Astronomical Society, 373 (4), 1423-1439. (doi:10.1111/j.1365-2966.2006.10998.x).

Record type: Article

Abstract

The aim of this paper is to compare the two cases of an isolated neutron star, with a non-accreted crust, and that of an accreting neutron star, with an accreted crust, and try to estimate which one of the two would make a better source of gravitational waves. In order to do this, we must evaluate the maximum 'mountain' that the crust can sustain in these two cases. We first do this using the formalism of Ushomirsky, Cutler & Bildsten and find that the maximum quadrupole is very similar in the two cases, with the non-accreted crust sustaining a slightly larger mountain. We then develop a perturbation formalism for the problem, that allows us to drop the Cowling approximation and have more control over the boundaries. The use of this formalism confirms that there is not much difference between the two cases, but leads to results approximately one order of magnitude larger than those we obtain with the formalism of Ushomirsky et al.

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Published date: 2006

Identifiers

Local EPrints ID: 45966
URI: http://eprints.soton.ac.uk/id/eprint/45966
ISSN: 0035-8711
PURE UUID: 9968309b-1ef3-405b-90f0-a2dcc3dd25bb
ORCID for D.I. Jones: ORCID iD orcid.org/0000-0002-0117-7567
ORCID for N. Andersson: ORCID iD orcid.org/0000-0001-8550-3843

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Date deposited: 01 May 2007
Last modified: 28 Apr 2022 01:45

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Contributors

Author: B. Haskell
Author: D.I. Jones ORCID iD
Author: N. Andersson ORCID iD

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