New Breakthrough: Tuning Fork Echoes Reveal Neutron Star Secrets
Scientists at Goethe University Frankfurt have unlocked a groundbreaking method to explore the inner workings of neutron stars, leveraging gravitational waves produced during their collisions. By scrutinizing the “long ringdown” phase—a melodious, lingering signal emitted after the stars merge—they have identified a strong correlation between this signal and the equation of state in neutron-star matter. Their findings, recently published in Nature Communications, open new avenues for understanding these enigmatic cosmic objects.
The Mysteries of Neutron Stars
Neutron stars are among the most fascinating astrophysical phenomena known. These compact giants possess a mass exceeding that of our entire solar system yet occupy a space only a few dozen kilometers wide. Despite their immense gravitational pull, the conditions within their cores remain shrouded in mystery, making the composition and structure of neutron stars elusive.
The Power of Gravitational Waves
The interstellar collisions of binary neutron stars provide a unique opportunity to unravel these cosmic complexities. As these stars circle each other over millions of years, they radiate gravitational waves, culminating in an intense burst of radiation during the moment of merging. The aftermath of this collision, known as the post-merger remnant, continues to emit gravitational waves over a relatively narrow frequency band.
This specific signal encapsulates vital information about the equation of state, a crucial concept defining how nuclear matter behaves under extreme densities and pressures. Dr. Luciano Rezzolla’s team at Goethe University Frankfurt has made significant strides in deciphering the meaning of the post-merger gravitational-wave signal.
The Long Ringdown Effect
The researchers have observed that while the intensity of the post-merger gravitational-wave signal dissipates with time, it evolves into a more uniform, pure tone—a phenomenon they label as the “long ringdown.” This phase is analogous to a tuning fork resonating after being struck, leading to a single dominant frequency.
“Just like tuning forks crafted from different materials produce distinct pure tones, remnants defined by various equations of state will resonate at different frequencies,” explains Prof. Luciano Rezzolla. “The long ringdown, therefore, has the potential to unveil the materials of neutron stars.”
Advancing Our Understanding
To validate their findings, the Goethe University Frankfurt team conducted sophisticated simulations of merging neutron stars using state-of-the-art computer models. By comparing several equations of state, they demonstrated that analyzing the long ringdown phase could significantly mitigate uncertainties in matter behavior at extremely high densities, which are otherwise uncontrollable in laboratories.
Dr. Christian Ecker, the first author of the study, highlights the significance of their method: “Thanks to advancements in statistical modeling and high-precision simulations on some of Germany’s most powerful supercomputers, we’ve identified a novel phase of the long ringdown in neutron star mergers. This discovery can furnish stringent constraints on the state of matter within these stars, paving the way for enhanced comprehension of dense neutron star matter in the future.”
Dr. Tyler Gorda, a co-author of the research, adds: “By wisely selecting a few equations of state, we were able to effectively emulate the outcomes of a complete statistical ensemble of matter models with minimal computational effort. This not only conserves computer time and energy but also underscores the reliability of our results across various theoretical models.”
The Future of Gravitational Wave Detection
Current gravitational-wave detectors have yet to capture the post-merger signal. However, the scientific community remains hopeful that the next-generation gravitational-wave observatories, such as the anticipated Einstein Telescope, will facilitate these observations soon. The long ringdown phase promises to provide powerful insights into the unexplored depths of neutron stars and the nature of matter at its most extreme densities.
Conclusion
Goethe University Frankfurt’s recent study marks a significant milestone in the quest to understand neutron stars through their gravitational signals. By deciphering the long ringdown phase, scientists have opened up new perspectives on the composition and structure of these cosmic entities. The future looks promising, with the potential for groundbreaking discoveries as advanced gravitational-wave detectors come online.
Read More
For more information on the scientific details and implications of this research, visit the Nature Communications article by Christian Ecker et al.
More information:
Christian Ecker et al, Constraining the equation of state in neutron-star cores via the long-ringdown signal, Nature Communications (2025). DOI: 10.1038/s41467-025-56500-x
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Goethe University Frankfurt am Main
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A final ‘pure’ tone emitted after a collision of neutron stars may reveal their interiors (2025, February 6)
retrieved 6 February 2025
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