arXiv subjects

Daiki Watarai

Publications and source records attributed to Daiki Watarai.

9 recordsLinked to original sources

arXiv2026

Exact Cancellation of Horizon Modes in Kerr Ringdown

Ringdown gravitational waves probe black hole spacetimes via quasinormal modes (QNMs). Recent studies have reported oscillatory features in QNM-filtered waveforms, and have led to conflicting interpretations as to whether they represent a near-horizon "direct wave". Reexamining a particle plunging into a Kerr black hole, we show that the saddle-point approximation underlying the proposed interpretation fails near the horizon. Our exact analysis reveals that every source-induced horizon-mode pole is canceled by an infinite tower of Matsubara zeros, independently of orbital and black-hole parameters. The first four stages of this sequential screening are also confirmed by time-domain numerical integration. Thus, within the near-horizon perturbative framework, source-induced horizon-mode signals do not survive at late times.

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arXiv2026

Ringdown analysis of GW250114 with orthonormal modes

GW250114 is the loudest gravitational wave event to date observed by LIGO-Virgo-KAGRA Collaboration. Owing to its high signal-to-noise ratio (SNR), previous analyses based on quasinormal mode (QNM) superpositions have suggested evidence of the fundamental and the first overtone of the $\ell=m=2$ mode in this event. However, QNMs are not orthogonal and the inclusion of multiple QNMs induces correlations among them, which can hinder the robust identification of subdominant QNMs. To address this challenge, we apply an analysis based on orthonormalized QNMs [S. Morisaki $\textit{et al.}$, Phys. Rev. D $\textbf{112}$, 124083 (2025)] to GW250114. We find that, in the model including three $\ell=m=2$ QNMs up to the second overtone, the first overtone of the $\ell=m=2$ mode is more strongly supported than in previous nonorthogonal analyses, with the inferred significance increasing from $82.5\%$ to $99.9\%$. Furthermore, we estimate deviations from the Kerr prediction using the orthonormal QNM framework and find no significant deviation, consistent with previous analyses. These results demonstrate that the orthonormal QNM framework provides a more robust way to identify subdominant modes in high-SNR ringdown signals, highlighting its potential for future gravitational wave observations.

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arXiv2025

Inspiral-Transition-Plunge Gravitational Waveforms Beyond Kerr: A Kerr-Newman Case Study

Binary black hole mergers with asymmetric component masses are key targets for both third-generation ground-based and future space-based gravitational-wave (GW) detectors, offering unique access to the strong-field dynamics of gravity. The evolution is commonly divided into three stages: the adiabatic inspiral, the transition, and the plunge. To date, constructions of inspiral-transition-plunge waveforms have largely focused on Schwarzschild or Kerr background spacetimes. In this paper, we extend these efforts to spacetimes beyond Kerr by constructing such waveforms in a Kerr-Newman background. For simplicity, we allow the primary black hole to carry spin and charge while keeping the secondary object neutral and non-spinning. We work in the small charge-to-mass ratio regime and adopt the Dudley-Finley approximation, in which the gravitational and electromagnetic perturbations decouple. In particular, the gravitational sector satisfies a Teukolsky-like equation, enabling only minimal modifications relative to the Kerr case when constructing the waveform. Having the inspiral-transtion-plunge waveforms in hand, we studied observational prospects for constraining the charge of the central black hole. We find that, for intermediate-mass-ratio mergers observed with the Einstein Telescope, explicitly modeling the post-inspiral dynamics significantly tightens charge-to-mass ratio constraints. In particular, the bounds on the charge-to-mass ratio can reach $O(10^{-3})$ in the region of primary masses and spins where the post-inspiral signal dominates, yielding charge bounds that can be orders of magnitude tighter than those obtained from the inspiral alone or from the current bound with GW150914. These results lay the groundwork for inspiral-transition-plunge waveform modeling in beyond-Kerr spacetimes and for probing non-Kerr signatures in future GW observations.

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arXiv2025

Observational constraints on the nonlinear regime of gravity with a parametrized beyond-GR gravitational waveform model

Gravitational waves from compact binary coalescences provide unique opportunities to test general relativity (GR) in the strong-field regime. In particular, the merger phase, during which two compact objects finally coalesce, corresponds to the regime of the strongest gravitational fields accessible by direct observation and thus serves as a probe of the nonlinear nature of gravity. In this work, we test GR in the merger phase by analyzing GW150914 using a modified waveform proposed in [Watarai et al. 2024], which parametrizes possible deviations from GR during this stage. Within this framework, the inferred deviation parameters can be translated into model-independent constraints on physically meaningful quantities. For GW150914, we find that the additional energy radiated in the merger phase is constrained to be $0.26^{+0.75}_{-0.62}~\%$ of the total energy emitted over the entire coalescence predicted by GR, and the deviation in the coalescence time is $2.17^{+9.56}_{-9.90}~\mathrm{ms}$, both within the $90\%$ credible interval. These two constraints serve as observational benchmarks for deviations in the nonlinear gravity regime, offering guidance for theoretical investigations of beyond-GR models.

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arXiv2025

Analyzing black-hole ringdowns with orthonormal modes

The ringdown signal following a black hole (BH) merger can be modeled as a superposition of BH quasinormal modes (QNMs), offering a clean setup for testing gravitational theories. In particular, detecting multiple QNMs enables consistency checks of their frequencies and damping times, serving as a test of general relativity -- a technique known as black hole spectroscopy. However, incorporating additional QNMs introduces challenges such as increased parameter correlations and higher computational costs in data analysis. To address this, we propose an efficient Bayesian analysis method that applies the Gram-Schmidt algorithm to the QNMs. This reduces the correlation between the modes and enables analytic marginalization over the mode amplitudes. We validate our approach using damped sinusoids and numerical waveforms from the Simulating eXtreme Spacetimes catalog.

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arXiv2025

Statistical biases in parametrized searches for gravitational-wave polarizations

In tests of gravity using gravitational waves (GWs), GW events analyzed are often selected based on specific criteria, particularly the signal-to-noise ratio. However, such event selection can introduce bias into parameter estimation unless the selection effect is appropriately taken into account in the analysis. In this paper, we investigate how event selection with certain prior information affects parameter inference within the scalar-tensor polarization framework, focusing on the measurement of the scalar mode amplitude parameters. We find that for the Tensor+Scalar(dipole) model, the amplitude of the scalar dipole radiation is overestimated when its true value is nonzero while there is no false deviation in the absence of the scalar mode. The same bias is expected to occur also for the Tensor+Scalar(quadrupole) model. However, the error typically exceeds the bias as the scalar quadrupole mode is difficult to be distinguished from the tensor mode.

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arXiv2024

Ringdown of a postinnermost stable circular orbit of a rapidly spinning black hole: Mass ratio dependence of higher harmonic quasinormal mode excitation

In a binary merger with a small mass ratio, as the secondary body approaches the innermost stable circular orbit (ISCO) of the primary black hole, the motion transitions from the adiabatic inspiral to the plunge governed by the geodesic equation. The plunge orbit is expected to excite the ringdown gravitational wave, which encodes information about the primary black hole's geometry. The details of the transition regime depend on the binary's mass ratio through radiation fluxes, which in turn influence the initial conditions for the plunge. As such, the mass ratio affects the post-ISCO ringdown gravitational wave excitation. In this study, we numerically investigate the mass ratio dependence of higher harmonic quasi-normal mode excitations in the post-ISCO gravitational waves of rapidly spinning black holes, based on the Teukolsky-Sasaki-Nakamura formalism. We consider the effect of mass ratio on the gravitational waves by accounting for the energy and angular momentum losses during the transition regime following the Ori-Thorne procedure. We examine two mass ratio scenarios: the intermediate mass ratio (IMR) and the extreme mass ratio (EMR). Our main finding is that higher harmonic quasi-normal modes are significantly excited in an IMR merger involving a highly spinning primary black hole. This implies that detecting an IMR merger involving such a primary black hole with space-based gravitational wave interferometers can provide valuable opportunities to infer black hole properties or test general relativity with excellent precision.

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arXiv2024

Slowly decaying ringdown of a rapidly spinning black hole II: Inferring the masses and spins of supermassive black holes with LISA

Electromagnetic observations reveal that almost all galaxies have supermassive black holes (SMBHs) at their centers, but their properties, especially their spins, are not fully understood. Some of the authors have recently shown [Oshita and Tsuna (2023)] that rapid spins of $>0.9$, inferred for masses around $10^7\ M_\odot$ from observations of local SMBHs and cosmological simulations, source {\it long-lived} ringdowns that enhance the precision of black hole spectroscopy to test gravity in the near-extreme Kerr spacetime. In this work, we estimate the statistical errors in the SMBH mass-spin inference in anticipation of the LISA's detection of extreme mass-ratio mergers. We show that for rapidly spinning SMBHs, more precise mass and spin measurements are expected due to the excitations of higher angular modes. For a near-extremal SMBH of mass $10^7M_\odot$ merging with a smaller BH with mass ratio $10^{-3}$ at a luminosity distance of $\lesssim 10\:\mathrm{Gpc}$ (redshift $z \lesssim 1.37$), the measurement errors in the mass and spin of the SMBH would be $\sim 1\:\mathrm{\%}$ and $\sim 10^{-1}\:\mathrm{\%}$ respectively.

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arXiv2023

Physically consistent gravitational waveform for capturing beyond general relativity effects in the compact object merger phase

The merger phase of compact binary coalescences is the strongest gravity regime that can be observed. To test the validity of general relativity (GR) in strong gravitational fields, we propose a gravitational waveform parameterized for deviations from GR in the dynamical and nonlinear regime of gravity. Our fundamental idea is that perturbative modifications to a GR waveform can capture possible deviations in the merger phase that are difficult to model in a specific theory of gravity. One of notable points is that our waveform is physically consistent in the sense that the additional radiative losses of energy and angular momentum associated with beyond-GR modifications are included. Our prescription to ensure physical consistency in the whole coalescence process is expected to be applicable to any deviation from the standard model of compact binary coalescence, such as the extended models of gravity or the environmental effects of compact objects, as long as perturbative modifications are considered. Based on the Fisher analysis and the compatibility with Einstein-dilaton Gauss-Bonnet waveforms, we show that our parameterization is a physically-consistent minimal one that captures the deviations in the nonlinear regime.

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