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Analytical derivation of long-term dephasing caused by phase transitions in the context of Kerr black holesстатья
- Авторы: Wu Jingxu, Luo Liangyu, Shi Jie
- Журнал: ArXiv e-prints
- Год издания: 2026
- DOI: 10.48550/arXiv.2603.13637
- Аннотация: Extreme Mass Ratio Inspirals (EMRIs) constitute a prime target for future spacebased gravitational-wave observatories such as LISA. In this paper, we analyticallyinvestigate the long-term phase shift (dephasing) in the gravitational wave signalinduced by a first-order quantum chromodynamics (QCD) phase transition withina neutron star orbiting a supermassive Kerr black hole. By modeling the transitionfrom a hadronic phase to a quark core phase, we quantify the sudden change in thetidal deformability (Λ) of the secondary object. Utilizing the Teukolsky formalismand Post-Newtonian expansions, we derive a strict analytical scaling law for theaccumulated dephasing. We demonstrate that the Kerr spin parameter a and thecritical phase transition orbital velocity vc significantly amplify the dephasing effect.Our analytical framework provides a robust tool for probing the non-perturbativeQCD equation of state at high baryon densities using gravitational wave astronomy.
- Добавил в систему: У Цзинсюй