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  Tidal response from scattering and the role of analytic continuation

Keinbaum, G. C., Hinderer, T., & Steinhoff, J. (2021). Tidal response from scattering and the role of analytic continuation. Physical Review D, 104(12): 124061. doi:10.1103/PhysRevD.104.124061.

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Keinbaum, Gastón Creci, Author
Hinderer, Tanja, Author
Steinhoff, Jan1, Author           
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1Astrophysical and Cosmological Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_1933290              

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Free keywords: General Relativity and Quantum Cosmology, gr-qc, Astrophysics, High Energy Astrophysical Phenomena, astro-ph.HE, Astrophysics, Solar and Stellar Astrophysics, astro-ph.SR,High Energy Physics - Theory, hep-th
 Abstract: The tidal response of a compact object is a key gravitational-wave observable encoding information about its interior. This link is subtle due to the nonlinearities of general relativity. We show that considering a scattering process bypasses challenges with potential ambiguities, as the tidal response is determined by the asymptotic in- and outgoing waves at null infinity. As an application of the general method, we analyze scalar waves scattering off a nonspinning black hole and demonstrate that the frequency-dependent tidal response calculated for arbitrary dimensions and multipoles reproduces known results for the Love number and absorption in limiting cases. In addition, we discuss the definition of the response based on gauge-invariant observables obtained from an effective action description, and clarify the role of analytic continuation for robustly (i) extracting the response and the physical information it contains, and (ii) distinguishing high-order post-Newtonian corrections from finite-size effects in a binary system. Our work is important for interpreting upcoming gravitational-wave data for subatomic physics of ultradense matter in neutron stars, probing black holes and gravity, and looking for beyond standard model fields.

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 Dates: 2021-08-072021
 Publication Status: Published in print
 Pages: 28 pages, 2 figures
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 Identifiers: arXiv: 2108.03385
DOI: 10.1103/PhysRevD.104.124061
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Title: Physical Review D
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Pages: - Volume / Issue: 104 (12) Sequence Number: 124061 Start / End Page: - Identifier: -