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Distinguishing environmental effects on binary black hole gravitational waveforms

Abstract

Future gravitational wave interferometers such as the Laser Interferometer Space Antenna, Taiji, DECi-hertz Interferometer Gravitational wave Observatory and TianQin will enable precision studies of the environment surrounding black holes. These detectors will probe the millihertz frequency range, as yet unexplored by current gravitational wave detectors. Furthermore, sources will remain in band for durations of up to years, meaning that the inspiral phase of the gravitational wave signal, which can be affected by the environment, will be observable. In this paper, we study intermediate and extreme mass ratio binary black hole inspirals, and consider three possible environments surrounding the primary black hole: accretion disks, dark matter spikes and clouds of ultra-light scalar fields, also known as gravitational atoms. We present a Bayesian analysis of the detectability and measurability of these three environments. Focusing for concreteness on the case of a detection with LISA, we show that the characteristic imprint they leave on the gravitational waveform would allow us to identify the environment that generated the signal and to accurately reconstruct its model parameters.

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Fig. 1: Density profiles of and energy losses due to environments.
Fig. 2: Parameter estimation using the correct environmental template.
Fig. 3: SNR losses as a function of the environmental parameters.
Fig. 4: Parameter estimation using a vacuum template.

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Data availability

No raw data were used in the completion of this manuscript.

Code availability

HaloFeedback code can be accessed at ref. 61. pydd code can be accessed at https://github.com/adam-coogan/pydd. For specific adaptations of these codes made for this manuscript, please email p.s.cole@uva.nl.

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Acknowledgements

We thank P. Pani and S. Witte for helpful discussions. P.S.C. acknowledges support from the Institute of Physics at the University of Amsterdam. A.C. received funding from the Schmidt Futures Foundation. D.G. was supported by Spanish MINECO through the Ramon y Cajal programme RYC2020-029184-I between September 2022 and November 2022 and is currently supported from the project ‘Theoretical Astroparticle Physics (TAsP)’ funded by the National Institute for Nuclear Physics (INFN). B.J.K. thanks the Spanish Agencia Estatal de Investigación (AEI, Ministerio de Ciencia, Innovación y Universidades) for the support to the Unidad de Excelencia María de Maeztu Instituto de Física de Cantabria (ref. MDM-2017-0765). T.F.M.S. is supported by VILLUM FONDEN (grant no. 37766), the Danish Research Foundation and the European Union’s H2020 ERC Advanced Grant ‘Black holes: gravitational engines of discovery’ (grant agreement no. Gravitas-101052587).

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P.S.C. conducted the main analysis in this manuscript and produced all of the figures. G.B. initiated the project idea and coordinated the members of the group. A.C. provided the dark dress code for the analysis that was extended for use in this broader context. D.G. consulted on issues to do with DF and gas torques. T.K. wrote the surrogate model and did the analysis for the dark dress that appears in the Supplementary Information. B.J.K. provided code for calculating feedback processes. T.F.M.S. and G.M.T. provided code for calculating the energy losses for the gravitational atom. All authors contributed to writing and editing the manuscript.

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Correspondence to Philippa S. Cole.

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Cole, P.S., Bertone, G., Coogan, A. et al. Distinguishing environmental effects on binary black hole gravitational waveforms. Nat Astron 7, 943–950 (2023). https://doi.org/10.1038/s41550-023-01990-2

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