Constraining the spin parameter of near-extremal black holes using LISA

Burke, Ollie; Gair, J. R.; Simón, Joan; Edwards, M. C.

doi:10.1103/physrevd.102.124054

Cited by 19 publications

(10 citation statements)

References 60 publications

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“…In [19,20], new potential terms responsible for different scaling behaviours were identified in the near-extremal regime, extending the original analysis by Ori and Thorne [21]. In fact, if near-extremal Kerr black holes exist and are observed, they are predicted to have much higher parameter estimation sensitivity, using gravitational wave probes, than regular rotating Kerr black holes and the origin for such increase can, once more, be traced to the existence of a throat in the near horizon geometry [22].…”

Section: Jhep07(2021)218supporting

confidence: 59%

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Gravitational perturbations from NHEK to Kerr

Castro

Godet

Simón

et al. 2021

J. High Energ. Phys.

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We revisit the spectrum of linear axisymmetric gravitational perturbations of the (near-)extreme Kerr black hole. Our aim is to characterise those perturbations that are responsible for the deviations away from extremality, and to contrast them with the linearized perturbations treated in the Newman-Penrose formalism. For the near horizon region of the (near-)extreme Kerr solution, i.e. the (near-)NHEK background, we provide a complete characterisation of axisymmetric modes. This involves an infinite tower of propagating modes together with the much subtler low-lying mode sectors that contain the deformations driving the black hole away from extremality. Our analysis includes their effects on the line element, their contributions to Iyer-Wald charges around the NHEK geometry, and how to reconstitute them as gravitational perturbations on Kerr. We present in detail how regularity conditions along the angular variables modify the dynamical properties of the low-lying sector, and in particular their role in the new developments of nearly-AdS2 holography.

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Section: Jhep07(2021)218supporting

confidence: 59%

“…21 It equals −S0χ Euler , where S0 is the extremal entropy and χ Euler is the Euler number of the manifold Σ2. 22 It is important to stress that to keep the near-extremal black hole UV interpretation of the construction, the boundary value Φ b must satisfy Φ b ∝ δ −1 φ0.…”

Section: Jhep07(2021)218mentioning

confidence: 99%

Gravitational perturbations from NHEK to Kerr

Castro

Godet

Simón

et al. 2021

J. High Energ. Phys.

Self Cite

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“…We invert our Fisher matrices using the high precision arithmetic Python package mpmath (Johansson et al 2013). This was done in order to mitigate instabilities arising from computing the inverse of the potentially badly conditioned matrix (Wen & Gair 2005;Vallisneri 2008;Porter 2009;Rodriguez, Mandel & Gair 2012;Gair et al 2013;Porter & Cornish 2015;Amaro-Seoane 2018;Burke et al 2020). A criterion to establish the stability of the inverse Fisher matrix based on the (1-norm) absolute value reads ˇˇΓ ´1Γ ´Iˇˇ1 ď 10 ´3, where I is the identity matrix (Gupta et al 2020).…”

Section: Appendix B: Numerical Routinesmentioning

confidence: 99%

“…To validate our results, we carry out a Markov-Chain Monte-Carlo (MCMC) with the goal to match our Fisher matrix results in a high-SNR regime. Our Bayesian analyses are carried out using emcee (Foreman-Mackey et al 2013) and an appropriate modification of the code developed in (Burke et al 2020). The posteriors are sampled with emcee using a Whittle log-likelihood (5) and flat priors.…”

Section: Appendix B: Numerical Routinesmentioning

confidence: 99%

Noisy neighbours: inference biases from overlapping gravitational-wave signals

Antonelli,

Burke,

Gair

2021

Preprint

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Understanding and dealing with inference biases in gravitational-wave (GW) parameter estimation when a plethora of signals are present in the data is one of the key challenges for the analysis of data from future GW detectors. Working within the linear signal approximation, we describe generic metrics to predict inference biases on GW source parameters in the presence of confusion noise from unfitted foregrounds, from overlapping signals that coalesce close in time to one another, and from residuals of other signals that have been incorrectly fitted out. We illustrate the formalism with simplified, yet realistic, scenarios appropriate to third-generation ground-based (Einstein Telescope) and space-based (LISA) detectors, and demonstrate its validity against Monte-Carlo simulations. We find it to be a reliable tool to cheaply predict the extent and direction of the biases. Finally, we show how this formalism can be used to correct for biases that arise in the sequential characterisation of multiple sources in a single data set, improving the accuracy of the global-fit without the need for expensive joint-fitting of the sources.

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“…The only exception is Ref. [37] where a Fisher-matrix analysis using Teukolsky-based waveforms for a nonspinning secondary and without including LISA's antenna pattern functions in the analysis, was presented. Our work should be seen as a benchmark for fully Bayesian parameter estimation studies and for other analyses using approximated (but significantly more efficient) waveforms.…”

Section: Introductionmentioning

confidence: 99%

Assessing the detectability of the secondary spin in extreme mass-ratio inspirals with fully-relativistic numerical waveforms

Piovano,

Brito,

Maselli

et al. 2021

Preprint

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Extreme mass-ratio inspirals (EMRIs) detectable by the Laser Inteferometric Space Antenna (LISA) are unique probes of astrophysics and fundamental physics. Parameter estimation for these sources is challenging, especially because the waveforms are long, complicated, known only numerically, and slow to compute in the most relevant regime, where the dynamics is relativistic. We perform a time-consuming Fisher-matrix error analysis of the EMRI parameters using fullyrelativistic numerical waveforms to leading order in an adiabatic expansion on a Kerr background, taking into account the motion of the LISA constellation, higher harmonics, and also including the leading correction from the spin of the secondary in the post-adiabatic approximation. We pay particular attention to the convergence of the numerical derivatives in the Fisher matrix and to the numerical stability of the covariance matrix, which for some systems requires computing the numerical waveforms with approximately 90-digit precision. Our analysis confirms previous results (obtained with approximated but much more computationally efficient waveforms) for the measurement errors on the binary's parameters. We also show that the inclusion of higher harmonics improves the errors on the luminosity distance and on the orbital angular momentum angles by one order and two orders of magnitude, respectively, which might be useful to identify the environments where EMRIs live. We particularly focus on the measurability of the spin of the secondary, confirming that it cannot be measured with sufficient accuracy. However, due to correlations, its inclusion in the waveform model can deteriorate the accuracy on the measurements of other parameters by orders of magnitude, unless a physically-motivated prior on the secondary spin is imposed.

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Constraining the spin parameter of near-extremal black holes using LISA

Cited by 19 publications

References 60 publications

Gravitational perturbations from NHEK to Kerr

Gravitational perturbations from NHEK to Kerr

Noisy neighbours: inference biases from overlapping gravitational-wave signals

Assessing the detectability of the secondary spin in extreme mass-ratio inspirals with fully-relativistic numerical waveforms

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