ECO signatures from the Weyl-induced gravitational waveform injection

Abstract

We investigate gravitational wave emission from an oscillating star modeled in a static Weyl background using a modulated waveform ansatz. First, we revisit the Weyl metric and obtain a Bessel-type curvature solution with regularity and asymptotic flatness conditions compatible for an astrophysical compact object. Second, we model an oscillating star-like object with a perfect fluid as a source of gravitational radiation. A modified wave equation with curvature-induced redshifts is solved numerically leading to a waveform that produces primary components due to wave trapping. This signal is injected into real LIGO data for GW150914 and compared across detectors allowing the detectability of curvature-induced gravitational waveform in the threshold of LIGO's sensitivity, consistent with an exotic compact object (ECO).