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Extreme Love in the SPA: constraining the tidal deformability of supermassive objects with extreme mass ratio inspirals and semi-analytical, frequency-domain waveforms

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arxiv 2207.07452 v1 pith:AQEVHZSR submitted 2022-07-15 gr-qc astro-ph.HEhep-ph

classification gr-qcastro-ph.HEhep-ph
keywords loveemriextremenumbertidalapproachdetectionfrequency-domain
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

We estimate the accuracy in the measurement of the tidal Love number of a supermassive compact object through the detection of an extreme mass ratio inspiral~(EMRI) by the future LISA mission. A nonzero Love number would be a smoking gun for departures from the classical black hole prediction of General Relativity. We find that an EMRI detection by LISA could set constraints on the tidal Love number of a spinning central object with dimensionless spin $\hat a=0.9$ ($\hat a=0.99$) which are approximately four (six) orders of magnitude more stringent than what achievable with current ground-based detectors for stellar-mass binaries. Our approach is based on the stationary phase approximation to obtain approximate but accurate semi-analytical EMRI waveforms in the frequency-domain, which greatly speeds up high-precision Fisher-information matrix computations. This approach can be easily extended to several other tests of gravity with EMRIs and to efficiently account for multiple deviations in the waveform at the same time.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. The significance of first post-adiabatic contributions for scalar charge measurements with intermediate and extreme mass ratio inspirals

    gr-qc 2026-07 accept novelty 6.5 of 10

    Neglecting 1PA gravitational self-force biases intrinsic EMRI parameters while scalar-charge inference remains robust; pure-GR templates produce large biases and underestimated errors on charged signals.

  2. Extreme mass ratio inspirals around topological stars

    gr-qc 2025-04 conditional novelty 6.0 of 10

    A scalar charge orbiting a topological star produces fluxes that deviate from the black hole case and can dephase by up to 10^4 radians over a year, while QNM resonances are too narrow to be observable.

  3. Probing time-dependent scalar wigs with extreme mass ratio inspirals

    gr-qc 2024-12 conditional novelty 6.0 of 10

    For EMRIs where the smaller black hole carries an oscillating scalar cloud with mass 0.001 <= mu_s m_p <= 0.02, the scalar energy flux is negligible, so the inspiral and gravitational waveform are essentially unchanged.

  4. Slowly rotating condensate dark stars beyond the mean-field approximation

    gr-qc 2026-07 conditional novelty 4.0 of 10

    The Lee-Huang-Yang beyond-mean-field correction measurably reduces the dimensionless moment of inertia of slowly rotating BEC dark stars at fixed compactness while preserving the I-Love universal relation to within a ...

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