Evolution of bare quark stars in full general relativity: Single star case

Authors: Enping Zhou, Kenta Kiuchi, Masaru Shibata, Antonios Tsokaros, Koji Uryu

Phys. Rev. D 103, 123011, June 2021
17 pages, 17 figures; accepted for publication in PRD (submitted to PRD in July 2020)

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, , , , This study focuses on the evolution of bare quark stars in numerical relativity simulations, specifically addressing the modifications made to the primitive recovery procedure. The authors demonstrate the reliability and convergence of their implementation by evolving two triaxially rotating quark star models with different masses, as well as a differentially rotating quark star model that is dynamically unstable due to its large kinetic energy. Through these simulations, the researchers are able to verify that their method effectively resolves the evolution of the discontinuous surface of quark stars and potential mass ejection from them. They also investigate the evolution of triaxial deformation and analyze the properties of gravitational-wave emission from triaxially rotating quark stars. Additionally, they examine the mass ejection phenomenon in the case of differentially rotating quark stars. The findings indicate that supramassive quark stars are unlikely to be significant sources of continuous gravitational waves. This is because these stars recover axisymmetry at a much faster rate compared to models with smaller masses, resulting in a rapid decay of gravitational-wave amplitude within a timescale of 10 milliseconds. However, it should be noted that while more massive models exhibit larger instantaneous amplitudes, they still experience a similar decay pattern. Furthermore, this study confirms previous indications that quark stars can undergo non-axisymmetric instabilities similar to neutron stars. However, these instabilities occur with relatively small degrees of differential rotation, aligning with expectations based on earlier initial data studies. In summary, this research provides valuable insights into the behavior and characteristics of bare quark stars in full general relativity simulations. The modifications made to the primitive recovery procedure enable accurate resolution of their surface evolution and potential mass ejection phenomena. The study's findings contribute to our understanding of gravitational-wave emission from triaxially rotating quark stars and confirm the occurrence of non-axisymmetric instabilities in these objects under specific conditions.
AI-generated keywords: bare quark stars

AI-generated Key Points

  • Evolution of bare quark stars in numerical relativity simulations
  • Modifications to the primitive recovery procedure
  • Reliability and convergence of the implementation demonstrated
  • Evolution of triaxially rotating quark star models with different masses
  • Analysis of gravitational-wave emission from triaxially rotating quark stars
  • Investigation of mass ejection phenomenon in differentially rotating quark stars
  • Supramassive quark stars are unlikely to be significant sources of continuous gravitational waves
  • Rapid decay of gravitational-wave amplitude within a timescale of 10 milliseconds for more massive models
  • Confirmation that quark stars can undergo non-axisymmetric instabilities similar to neutron stars
  • Occurrence of non-axisymmetric instabilities with relatively small degrees of differential rotation
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Abstract: We introduce our approaches, in particular the modifications of the primitive recovery procedure, to handle bare quark stars in numerical relativity simulations. Reliability and convergence of our implementation are demonstrated by evolving two triaxially rotating quark star models with different mass as well as a differentially rotating quark star model which has sufficiently large kinetic energy to be dynamically unstable. These simulations allow us to verify that our method is capable of resolving the evolution of the discontinuous surface of quark stars and possible mass ejection from them. The evolution of the triaxial deformation and the properties of the gravitational-wave emission from triaxially rotating quark stars have been also studied, together with the mass ejection of the differentially rotating case. It is found that supramassive quark stars are not likely to be ideal sources of continuous gravitational wave as the star recovers axisymmetry much faster than models with smaller mass and gravitational-wave amplitude decays rapidly in a timescale of $10\,$ms, although the instantaneous amplitude from more massive models is larger. As with the differentially rotating case, our result confirms that quark stars could experience non-axisymmetric instabilities similar to the neutron star case but with quite small degree of differential rotation, which is expected according to previous initial data studies.

Submitted to arXiv on 16 May. 2021

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