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Test for eccentric binaries based on the spin-induced quadrupole moment

N. V. Krishnendu*

  • *Contact author: k.naderivarium@bham.ac.uk
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Phys. Rev. D 113, 124008 – Published 3 June, 2026

DOI: https://doi.org/10.1103/xmv7-sxll

Abstract

The spin-induced quadrupole moment-based test of black hole nature is routinely used to probe the true nature of detected binary signals, assuming a circular orbit. We extend the applicability of the method to binaries in eccentric orbits. Considering simulated signals of varying masses, spins, and signal strengths, we demonstrate how the systematic errors resulting from neglecting orbital eccentricity compare with the statistical errors, using a semianalytic Fisher matrix-based formalism that accounts for both current and future detectors. Further, we quantify the systematic errors by developing a Bayesian inference framework for the current detector network. The inspiral-only aligned-spin gravitational wave waveform model for eccentric binaries, TaylorF2Ecc, is employed. For the current detector network, neglecting an initial eccentricity of e0inj=0.1 defined at 20 Hz can lead to a serious bias in binary parameter inference. Notably, a nearly equal mass, moderately spinning binary black hole in an eccentric orbit can be identified as a nonblack hole binary with extreme spins and asymmetric masses. We demonstrate the criticality of biased estimates that may arise when neglecting the orbital eccentricity while performing tests of black hole nature and discuss prospects.

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Phys. Rev. D 113, 124008– Published 3 June, 2026
  • Received 29 December 2025
  • Accepted 27 April 2026
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