On the ambiguity in relativistic tidal deformability

Gralla, Samuel E.

doi:10.1088/1361-6382/aab186

Cited by 58 publications

(35 citation statements)

References 36 publications

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“…We present below the precise late-time asymptotics away from the horizon: (1) , yield (5). The asymptotic term for ψ| r=R for outgoing perturbations in the strong field region {r = R} is consistent with the results presented in [26,29,35,39,43,52,62].…”

Section: B Asymptotics For Ernsupporting

confidence: 90%

Horizon Hair of Extremal Black Holes and Measurements at Null Infinity

2018

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It is shown that the conserved charges on the event horizon and the Cauchy horizon associated to scalar perturbations on extremal black holes are externally measurable from null infinity. This suggests that these charges have the potential to serve as an observational signature. The proof of this result is based on obtaining precise late-time asymptotics for the radiation field of outgoing perturbations.

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Section: B Asymptotics For Ernsupporting

confidence: 90%

Horizon Hair of Extremal Black Holes and Measurements at Null Infinity

2018

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“…Restricted to slowly changing tidal fields, this response can be characterized by the (dimensionless) NS tidal deformability [71] (see also Ref. [92]). Similar to the quadrupole moment scalar Q, both the second (electric-type) Love number k 2 [93] and the source-frame NS radius R S are fixed when m S and the equation of state are given.…”

Section: Pnmentioning

confidence: 99%

Multiband gravitational-wave astronomy: Observing binary inspirals with a decihertz detector, B-DECIGO

Isoyama

Nakano

Nakamura

2018

Progress of Theoretical and Experimental Physics

165

168

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An evolving Japanese gravitational-wave (GW) mission in the deci-Hz band: B-DECIGO (DECihertz laser Interferometer Gravitational wave Observatory) will enable us to detect GW150914-like binary black holes, GW170817-like binary neutron stars, and intermediate-mass binary black holes out to cosmological distances. The B-DECIGO band slots in between the aLIGO-Virgo-KAGRA-IndIGO (hecto-Hz) and LISA (milli-Hz) bands for broader bandwidth; the sources described emit GWs for weeks to years across the multiband to accumulate high signal-to-noise ratios. This suggests the possibility that joint detection would greatly improve the parameter estimation of the binaries. We examine B-DECIGO's ability to measure binary parameters and assess to what extent multiband analysis could improve such measurement. Using non-precessing post-Newtonian waveforms with the Fisher matrix approach, we find for systems like GW150914 and GW170817 that B-DECIGO can measure the mass ratio to within < 0.1%, the individual black-hole spins to within < 10%, and the coalescence time to within < 5 s about a week before alerting aLIGO and electromagnetic facilities. Prior information from B-DECIGO for aLIGO can further reduce the uncertainty in the measurement of, e.g., certain neutron star tidally-induced deformations by factor of ∼ 6, and potentially determine the spin-induced neutron star quadrupole moment. Joint LISA and B-DECIGO measurement will also be able to recover the masses and spins of intermediate-mass binary black holes at percent-level precision. However, there will be a large systematic bias in these results due to post-Newtonian approximation of exact GW signals.

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“…This deformation enhances GW emission and thus accelerates the decay of the quasi-circular inspiral [21][22][23]. In the post-Newtonian (PN) expansion of the inspiral dynamics [24][25][26][27][28][29][30][31][32], this effect causes the phase of the GW signal to differ from that of a binary BH from the fifth PN order onwards [21,33,34]. The leading-order contribution is proportional to each star's tidal deformability parameter, Λ = (2/3)k 2 C −5 , an EOS-sensitive quantity that describes how much a star is deformed in the presence of a tidal field.…”

Section: Introductionmentioning

confidence: 99%

GW170817: Measurements of Neutron Star Radii and Equation of State

Abbott¹,

Abbott²,

Abbott³

et al. 2018

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GW170817: Measurements of neutron star radii and equation of state The LIGO Scientific Collaboration and The Virgo Collaboration On August 17, 2017, the LIGO and Virgo observatories made the first direct detection of gravitational waves from the coalescence of a neutron star binary system. The detection of this gravitational wave signal, GW170817, offers a novel opportunity to directly probe the properties of matter at the extreme conditions found in the interior of these stars. The initial, minimal-assumption analysis of the LIGO and Virgo data placed constraints on the tidal effects of the coalescing bodies, which were then translated to constraints on neutron star radii. Here, we expand upon previous analyses by working under the hypothesis that both bodies were neutron stars that are described by the same equation of state and have spins within the range observed in Galactic binary neutron stars. Our analysis employs two methods: the use of equation-of-state-insensitive relations between various macroscopic properties of the neutron stars and the use of an efficient parameterization of the defining function p(ρ) of the equation of state itself. From the LIGO and Virgo data alone and the first method, we measure the two neutron star radii as R 1 = 10.8 +2.0 −1.7 km for the heavier star and R 2 = 10.7 +2.1 −1.5 km for the lighter star at the 90% credible level. If we additionally require that the equation of state supports neutron stars with masses larger than 1.97 M as required from electromagnetic observations and employ the equation of state parametrization, we further constrain R 1 = 11.9 +1.4 −1.4 km and R 2 = 11.9 +1.4 −1.4 km at the 90% credible level. Finally, we obtain constraints on p(ρ) at supranuclear densities, with pressure at twice nuclear saturation density measured at 3.5 +2.7 −1.7 × 10 34 dyn cm −2 at the 90% level.

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On the ambiguity in relativistic tidal deformability

Cited by 58 publications

References 36 publications

Horizon Hair of Extremal Black Holes and Measurements at Null Infinity

Horizon Hair of Extremal Black Holes and Measurements at Null Infinity

Multiband gravitational-wave astronomy: Observing binary inspirals with a decihertz detector, B-DECIGO

GW170817: Measurements of Neutron Star Radii and Equation of State

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