Tidal deformations of neutron stars with elastic crusts

@article{Gittins2020TidalDO,
  title={Tidal deformations of neutron stars with elastic crusts},
  author={Fabian Gittins and Nils Andersson and Jonas P. Pereira},
  journal={Physical Review D},
  year={2020},
  volume={101}
}
With the first detections of binary neutron star mergers by gravitational-wave detectors, it proves timely to consider how the internal structure of neutron stars affects the way in which they can be asymmetrically deformed. Such deformations may leave measurable imprints on gravitational-wave signals and can be sourced through tidal interactions or the formation of mountains. We detail the formalism that describes fully-relativistic neutron star models with elastic crusts undergoing static… Expand

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References

SHOWING 1-10 OF 58 REFERENCES
Role of crustal physics in the tidal deformation of a neutron star
In the late inspiral phase, gravitational waves from binary neutron star mergers carry the imprint of the equation of state due to the tidally deformed structure of the components. If the starsExpand
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 forExpand
Breaking strain of neutron star crust and gravitational waves.
TLDR
Because of the collective behavior of the ions during failure found in the simulations, the neutron star crust is likely very strong and can support mountains large enough so that their gravitational wave radiation could limit the spin periods of some stars and might be detectable in large-scale interferometers. Expand
Using Neutron Star Observations to Determine Crust Thicknesses, Moments of Inertia, and Tidal Deformabilities
Here, we perform a systematic assessment of models for the equation of state (EOS) of dense matter in the context of recent neutron star mass and radius measurements to obtain a broad picture of theExpand
Tidal Love Numbers of Neutron Stars
For a variety of fully relativistic polytropic neutron star models we calculate the star's tidal Love number k2. Most realistic equations of state for neutron stars can be approximated as a polytropeExpand
Tidal Deformabilities and Radii of Neutron Stars from the Observation of GW170817.
TLDR
The results are the first measurement of tidal deformability with a physical constraint on the star's equation of state and place the first lower bounds on the deformability and areal radii of neutron stars using gravitational waves. Expand
The dynamics of neutron star crusts: Lagrangian perturbation theory for a relativistic superfluid-elastic system
The inner crust of a mature neutron star is composed of an elastic lattice of neutron-rich nuclei penetrated by free neutrons. These neutrons can flow relative to the crust once the star cools belowExpand
Exploring the effective tidal deformability of neutron stars
Finite size effects come into play during the late stages of neutron star binary inspiral, with the tidal deformability of the supranuclear density matter leaving an imprint on the gravitational-waveExpand
Seismology of adolescent neutron stars: Accounting for thermal effects and crust elasticity
We study the oscillations of relativistic stars, incorporating key physics associated with internal composition, thermal gradients and crust elasticity. Our aim is to develop a formalism which isExpand
Nonradial oscillations of neutron stars with a solid crust - Analysis in the relativistic Cowling approximation
Nonradial oscillations of relativistic neutron stars with a solid crust are computed in the relativistic Cowling approx- imation, in which all metric perturbations are ignored. For the modalExpand
...
1
2
3
4
5
...