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Compressible, Riemann S-type ellipsoids can emit gravitational waves (GWs)with a chirp-like behavior (hereafter chirping ellipsoids, CELs). We show thatthe GW frequency-amplitude evolution of CELs (mass $\sim 1$~M$_\odot$, radius$\sim10^3$~km, polytropic equation of state with index $n\approx 3$) isindistinguishable from that emitted by double white dwarfs (DWDs) and byextreme mass-ratio inspirals (EMRIs) composed of an intermediate-mass(e.g.~$10^3~M_\odot$) black hole and a planet-like (e.g.~$10^{-4}~M_\odot$)companion, in a specific frequency interval within the detector sensitivityband in which the GWs of all these systems are quasi-monochromatic. We estimatethat for reasonable astrophysical assumptions, the rates in the local Universeof CELs, DWDs and EMRIs in the mass range considered here, are very similar,posing a detection-degeneracy challenge for space-based GW detectors. Theastrophysical implications of this CEL-binary detection degeneracy byspace-based GW-detection facilities, are outlined.

journal of cosmology and astroparticle physics

Chirping compact stars: gravitational radiation and detection degeneracy  with binary systems A conceptual pathfinder for space-based  gravitational-wave observatories