Love in Extrema Ratio
arXiv:1905.03947 · doi:10.1142/S0218271819440012
Abstract
The tidal deformability of a self-gravitating object leaves an imprint on the gravitational-wave signal of an inspiral which is paramount to measure the internal structure of the binary components. We unveil here a surprisingly unnoticed effect: in the extreme-mass ratio limit the tidal Love number of the central object (i.e. the quadrupole moment induced by the tidal field of its companion) affects the gravitational waveform at the leading order in the mass ratio. This effect acts as a magnifying glass for the tidal deformability of supermassive objects but was so far neglected, probably because the tidal Love numbers of a black hole (the most natural candidate for a compact supermassive object) are identically zero. We argue that extreme-mass ratio inspirals detectable by the future LISA mission might place constraints on the tidal Love numbers of the central object which are roughly 8 orders of magnitude more stringent than current ones on neutron stars, potentially probing all models of black hole mimickers proposed so far.
arXiv commentEssay selected for an Honorable Mention in the Gravity Research Foundation Essay Competition 2019. v2: two references added, version to appear in IJMPD
References in corpus (18)
- GW170817: Measurements of Neutron Star Radii and Equation of State
- Constraining neutron star tidal Love numbers with gravitational wave detectors
- Relativistic tidal properties of neutron stars
- Relativistic theory of tidal Love numbers
- Science with the space-based interferometer LISA. V: Extreme mass-ratio inspirals
- Tidal Deformabilities and Radii of Neutron Stars from the Observation of GW170817
- Post-1-Newtonian tidal effects in the gravitational waveform from binary inspirals
- Gravitational self force in extreme mass-ratio inspirals
- Using LISA EMRI sources to test off-Kerr deviations in the geometry of massive black holes
- Constraints on primordial black holes as dark matter candidates from capture by neutron stars
- No-hair theorem for Black Holes in Astrophysical Environments
- Distinguishing Boson Stars from Black Holes and Neutron Stars from Tidal Interactions in Inspiraling Binary Systems
- The Tune of Love and the Nature(ness) of Spacetime
- Tidal Love numbers of a slowly spinning neutron star
- Tidal deformation of a slowly rotating material body. External metric
- I-Love-Q relations for a gravastar and the approach to the black-hole limit
- Gravitational radiation for extreme mass ratio inspirals to the 14th post-Newtonian order
- Advanced LIGO's ability to detect apparent violations of the cosmic censorship conjecture and the no-hair theorem through compact binary coalescence detections
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- Spinning Black Holes Fall in Love
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- Tidal heating as a discriminator for horizons in extreme mass ratio inspirals
- Gravitational wave probes of dark matter: challenges and opportunities
- Extreme mass ratio inspirals with spinning secondary: a detailed study of equatorial circular motion
- Extreme mass-ratio inspirals around a spinning horizonless compact object
- Gravitational waves and kicks from the merger of unequal mass, highly compact boson stars
- Detecting massive scalar fields with Extreme Mass-Ratio Inspirals
- Environmental effects in GW physics: tidal deformability of black holes immersed in matter
- Probing the Nature of Black Holes: Deep in the mHz Gravitational-Wave Sky
- Gravitational-wave detectors as particle-physics laboratories: Constraining scalar interactions with a coherent inspiral model of boson-star binaries
- Prospects for determining the nature of the secondaries of extreme mass-ratio inspirals using the spin-induced quadrupole deformation
- Ladder Symmetries and Love Numbers of Reissner--Nordström Black Holes
- Black Hole Multipoles in Higher-Derivative Gravity
- Oscillations in the EMRI gravitational wave phase correction as a probe of reflective boundary of the central black hole
- Extreme Love in the SPA: constraining the tidal deformability of supermassive objects with extreme mass ratio inspirals and semi-analytical, frequency-domain waveforms
- Model independent tests of the Kerr bound with extreme mass ratio inspirals
- Vanishing of Quadratic Love Numbers of Schwarzschild Black Holes
- Testing the nature of dark compact objects with gravitational waves
- Probing horizon scale quantum effects with Love
- Probing fundamental physics with Extreme Mass Ratio Inspirals: a full Bayesian inference for scalar charge
- Testing gravity with Extreme-Mass-Ratio Inspirals
- Probing Bosonic Stars with Atomic Clocks
- Hidden symmetry between rotational tidal Love numbers of spinning neutron stars
- Efficient search method of anomalous reflection by the central object in an EMRI system by future space gravitational wave detectors
- Analytical model of precessing binaries using post-Newtonian theory in the extreme mass-ratio limit I: General Formalism
- Extreme mass ratio inspirals around topological stars
- Distinguishing compact objects in extreme-mass-ratio inspirals by gravitational waves
- The Effect of Mission Duration on LISA Science Objectives
- Extreme mass-ratio inspirals as probes of scalar fields: eccentric equatorial orbits around Kerr black holes