Oscillations in the EMRI gravitational wave phase correction as a probe of reflective boundary of the central black hole

Abstract

We discuss the energy loss due to gravitational radiation of binaries composed of exotic objects whose horizon boundary conditions are replaced with reflective ones. Our focus is on the extreme mass-ratio inspirals, in which the central heavier black hole is replaced with an exotic compact object. We show, in this case, a modulation of the energy loss rate depending on the evolving orbital frequency occurs and leads to two different types of modifications to the gravitational wave phase evolution; the oscillating part directly corresponding to the modulation in the energy flux, and the non-oscillating part coming from the quadratic order in the modulation. This modification can be sufficiently large to detect with future space-borne detectors.

5 pages, 3 figures; v2: 8 pages, 3 figures, revised Fig.3, accepted version

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• Probing the quantum nature of black holes with ultra-light boson environments
• Efficient search method of anomalous reflection by the central object in an EMRI system by future space gravitational wave detectors
• A multi-parameter expansion for the evolution of asymmetric binaries in astrophysical environments
• Extreme mass-ratio inspirals as probes of scalar fields: eccentric equatorial orbits around Kerr black holes
• Resonances, black hole mimickers and the greenhouse effect: consequences for gravitational-wave physics