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Tidal Love Numbers of Neutron Stars
Open accessAbstract
For a variety of fully relativistic polytropic neutron star models we calculate the star's tidal Love number k 2 . Most realistic equations of state for neutron stars can be approximated as a polytrope with an effective index n ≈ 0.5–1.0. The equilibrium stellar model is obtained by numerical integration of the Tolman-Oppenheimer-Volkhov equations. We calculate the linear l = 2 static perturbations to the Schwarzschild spacetime following the method of Thorne and Campolattaro. Combining the perturbed Einstein equations into a single second-order differential equation for the perturbation to the metric coefficient g tt and matching the exterior solution to the asymptotic expansion of the metric in the star's local asymptotic rest frame gives the Love number. Our results agree well with the Newtonian results in the weak field limit. The fully relativistic values differ from the Newtonian values by up to ~24%. The Love number is potentially measurable in gravitational wave signals from inspiralling binary neutron stars.
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Wald, R. M. (1984) · doi:10.7208/chicago/9780226870373.001.0001 · Cited by 7,188
Cited by
Gravitational Radiation from Post-Newtonian Sources and Inspiralling Compact Binaries
Blanchet, L. (2006) · Living Reviews in Relativity · doi:10.12942/lrr-2006-4 · Cited by 686
Damour, T., Nagar, A., & Villain, L. (2012) · Physical Review D · doi:10.1103/physrevd.85.123007 · Cited by 466
Identifying a First-Order Phase Transition in Neutron-Star Mergers through Gravitational Waves
Bauswein, A., Bastian, N.-U. F., Blaschke, D. B., Chatziioannou, K., Clark, J. A., Fischer, T., & Oertel, M. (2019) · Physical Review Letters · doi:10.1103/physrevlett.122.061102 · Cited by 404
Metadata
- Authors
- Hinderer, T.
- Venue
- The Astrophysical Journal
- Publisher
- American Astronomical Society
- Published
- 2008-04-20
- Volume
- 677
- Issue
- 2
- Pages
- 1216-1220
- ISSN
- 0004-637X (ISSN-L)
- 1538-4357
- OpenAlex
- W2012430171
- Cited by
- 1,306
- References
- 1
- FWCI
- 4.13
- Type
- journal article
- Language
- en
- Open access
- bronze
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