Explaining gravitational-wave (GW) observations of binary neutron star (BNS)
mergers requires an understanding of matter beyond nuclear saturation density.
Our current knowledge of the properties of high-density matter relies on
electromagnetic and GW observations, nuclear physics experiments, and general
relativistic numerical simulations. In this paper we perform
numerical-relativity simulations of BNS mergers subject to non-convex dynamics,
allowing for the appearance of expansive shock waves and compressive
rarefactions. Using a phenomenological non-convex equation of state we identify
observable imprints on the GW spectra of the remnant. In particular, we find
that non-convexity induces a significant shift in the quasi-universal relation
between the peak frequency of the dominant mode and the tidal deformability (of
order $Delta f_{rm peak}gtrsim 380,rm Hz$) with respect to that of
binaries with convex (regular) dynamics. Similar shifts have been reported in
the literature, attributed however to first-order phase transitions from
nuclear/hadronic matter to deconfined quark matter. We argue that the ultimate
origin of the frequency shifts is to be found in the presence of anomalous,
non-convex dynamics in the binary remnant.

According to this article, understanding the observations of binary neutron star mergers requires knowledge of matter beyond nuclear saturation density. The current understanding of high-density matter relies on electromagnetic and gravitational wave observations, nuclear physics experiments, and numerical simulations. In this study, the researchers performed numerical-relativity simulations of binary neutron star mergers with non-convex dynamics, allowing for the appearance of shock waves and rarefactions. They used a phenomenological non-convex equation of state to identify observable imprints on the gravitational wave spectra of the remnant.

The researchers found that non-convexity of the dynamics induces a significant shift in the quasi-universal relation between the peak frequency of the dominant mode and the tidal deformability. This shift is on the order of Δf_peak > 380 Hz compared to binaries with convex dynamics. Similar frequency shifts have been observed in previous studies, but were attributed to first-order phase transitions from nuclear/hadronic matter to deconfined quark matter. The researchers argue that the ultimate origin of these frequency shifts is due to the presence of anomalous, non-convex dynamics in the binary remnant.

Future Roadmap

Challenges:

  1. Further research is needed to fully understand the effects of non-convex dynamics on gravitational wave observations of binary neutron star mergers.
  2. Improving our knowledge of high-density matter beyond nuclear saturation density is crucial for accurately interpreting gravitational wave data.
  3. Refining numerical-relativity simulations to better capture the non-convex dynamics in the binary remnant is necessary.
  4. Validating the phenomenological non-convex equation of state used in this study through additional experiments and observations.

Opportunities:

  1. The observed frequency shifts in the gravitational wave spectra provide a unique opportunity to study the properties of high-density matter and probe the nature of non-convex dynamics in binary neutron star mergers.
  2. Further understanding of non-convex dynamics could potentially lead to new insights into the behavior of matter at extreme densities.
  3. Improved numerical simulations and equation of state models could contribute to more precise predictions and interpretations of gravitational wave observations in the future.
  4. The study highlights the importance of interdisciplinary research combining gravitational wave astronomy, nuclear physics, and numerical simulations to advance our knowledge of high-density matter.

Note: It is important to acknowledge that this article is a summary and further investigation and verification are needed to fully confirm the conclusions presented.
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