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Gravitational Waves from Holographic Neutron Star Mergers (1908.03213v1)

Published 8 Aug 2019 in astro-ph.HE, gr-qc, hep-ph, hep-th, and nucl-th

Abstract: We simulate the merger of binary neutron stars and analyze the spectral properties of their gravitational waveforms. For the stars we construct hybrid equations of state (EoSs) with a standard nuclear matter EoS at low densities, transitioning to a state-of-the-art holographic EoS in the otherwise intractable high density regime. Depending on the transition density the characteristic frequencies in the spectrum produced from the hybrid EoSs are shifted to significantly lower values as compared to the pure nuclear matter EoS. The highest rest-mass density reached outside a possible black hole horizon is approximately $1.1 \cdot 10{15}$ g/cm$3$, which for the holographic model is below the density of the deconfined quark matter phase.

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Summary

  • The paper investigates gravitational waves from neutron star mergers using hybrid equations of state that combine holographic and nuclear matter models.
  • By employing hybrid equations of state, the study predicts a shift in gravitational wave frequencies towards lower values, offering a potential observational signature.
  • The research highlights the potential for future gravitational wave detectors like the Einstein Telescope to observationally distinguish these holographic models from traditional nuclear models.

Analyzing Gravitational Waves from Holographic Neutron Star Mergers

The paper titled "Gravitational Waves from Holographic Neutron Star Mergers" presents an investigation into the merger of binary neutron stars, making use of advanced theoretical frameworks and simulations. The authors employ hybrid equations of state (EoSs) to model the spectral properties of gravitational waves generated during these astronomical events. Unique to this approach is the integration of state-of-the-art holographic models with more conventional nuclear matter models to better represent the phases of nuclear matter present in neutron stars, particularly addressing the challenging high-density regime.

Methodological Innovations and Simulations

The paper introduces hybrid EoSs by combining the SLy EoS at lower densities with holographic V-QCD models at higher densities. This hybridization is essential to capture the complex behavior of matter in neutron stars, particularly when transitioning from nuclear to quark matter. The transitions are parametrized by the matching density and a coupling parameter affecting the stiffness of the EoS. The authors utilize the Einstein Toolkit to simulate equal-mass neutron star mergers and analyze the resultant gravitational waveforms.

Significant insight emerges from the adjustment in characteristic frequencies within the gravitational wave spectrum associated with these hybrid EoSs, which deviate substantially from those predicted by pure nuclear models. Notably, the paper highlights that these frequencies shift towards lower values due to the increased stiffness of the hybrid EoSs—a theoretical development with potential implications for the observational signature of neutron star mergers.

Numerical Results and Physics Insights

Table 1 in the paper presents the properties of neutron stars using hybrid and standard SLy EoSs, providing a quantitative basis for understanding the physical nuances of these mergers. The highest rest-mass densities reported, which do not reach the quark matter phase, emphasize the resilience of neutron star structures under extreme conditions. The paper provides a detailed picture of the rest-mass density distributions during various stages of the merger, as depicted in Figures 4 and 5.

An exciting aspect of the paper is the power spectrum density (PSD) analysis of the extracted gravitational wave signals. When compared against detector sensitivity curves for advanced LIGO and the future Einstein Telescope, the spectral features offer a roadmap for empirical validation. The shift of certain frequency peaks in the spectrum presents a critical opportunity to experimentally distinguish these holographic models from traditional EoSs.

Implications and Future Directions

The implications of this research are multifaceted, touching both upon the theoretical underpinnings of nuclear and quark matter transitions and the capabilities of gravitational wave astronomy in probing these extreme states. The paper outlines significant potential for future detectors to provide conclusive observational evidence, distinguishing different EoSs based on the gravitational wave emission profiles post-neutron star merger. The observational calibration of this model through gravitational wave data could further refine our understanding of strong interaction physics in extreme conditions.

Looking forward, the authors suggest several avenues of extension, including enhancements to the holographic model to address the homogeneous approximation of baryon fields and higher-resolution simulations. It would also be of interest to incorporate additional physical effects, such as finite temperature, electromagnetic fields, and neutrino transport in merger simulations, thereby enriching the realism and predictive accuracy of their theoretical constructs.

In summary, this paper advances both the field of gravitational wave physics and the theoretical modeling of neutron star matter, presenting a new way to contextualize high-density nuclear physics through the lens of holographic duality. Its findings provide a groundwork for future investigations and observations that can probe the interior composition of neutron stars with unprecedented precision.

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