Multi-time-scale X-ray reverberation mapping of accreting black holes

Accreting black holes show characteristic reflection features in their X-ray spectrum, including an iron Kα line, resulting from hard X-ray continuum photons illuminating the accretion disc. The reverberation lag resulting from the path-length difference between direct and reflected emission provide...

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Auteurs principaux: Mastroserio, G, Ingram, A, van der Klis, M
Format: Journal article
Publié: Oxford University Press 2018
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author Mastroserio, G
Ingram, A
van der Klis, M
author_facet Mastroserio, G
Ingram, A
van der Klis, M
author_sort Mastroserio, G
collection OXFORD
description Accreting black holes show characteristic reflection features in their X-ray spectrum, including an iron Kα line, resulting from hard X-ray continuum photons illuminating the accretion disc. The reverberation lag resulting from the path-length difference between direct and reflected emission provides a powerful tool to probe the innermost regions around both stellar-mass and supermassive black holes. Here, we present for the first time a reverberation mapping formalism that enables modelling of energy-dependent time lags and variability amplitude for a wide range of variability time-scales, taking the complete information of the cross-spectrum into account. We use a pivoting power-law model to account for the spectral variability of the continuum that dominates over the reverberation lags for longer time-scale variability. We use an analytic approximation to self-consistently account for the non-linear effects caused by this continuum spectral variability, which have been ignored by all previous reverberation studies. We find that ignoring these non-linear effects can bias measurements of the reverberation lags, particularly at low frequencies. Since our model is analytic, we are able to fit simultaneously for a wide range of Fourier frequencies without prohibitive computational expense. We also introduce a formalism of fitting to real and imaginary parts of our cross-spectrum statistic, which naturally avoids some mistakes/inaccuracies previously common in the literature. We perform proof-of-principle fits to Rossi X-ray Timing Explorer data of Cygnus X-1.
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spelling oxford-uuid:db243999-1916-414e-b96b-da23533ebe1f2022-03-27T09:08:22ZMulti-time-scale X-ray reverberation mapping of accreting black holesJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:db243999-1916-414e-b96b-da23533ebe1fSymplectic Elements at OxfordOxford University Press2018Mastroserio, GIngram, Avan der Klis, MAccreting black holes show characteristic reflection features in their X-ray spectrum, including an iron Kα line, resulting from hard X-ray continuum photons illuminating the accretion disc. The reverberation lag resulting from the path-length difference between direct and reflected emission provides a powerful tool to probe the innermost regions around both stellar-mass and supermassive black holes. Here, we present for the first time a reverberation mapping formalism that enables modelling of energy-dependent time lags and variability amplitude for a wide range of variability time-scales, taking the complete information of the cross-spectrum into account. We use a pivoting power-law model to account for the spectral variability of the continuum that dominates over the reverberation lags for longer time-scale variability. We use an analytic approximation to self-consistently account for the non-linear effects caused by this continuum spectral variability, which have been ignored by all previous reverberation studies. We find that ignoring these non-linear effects can bias measurements of the reverberation lags, particularly at low frequencies. Since our model is analytic, we are able to fit simultaneously for a wide range of Fourier frequencies without prohibitive computational expense. We also introduce a formalism of fitting to real and imaginary parts of our cross-spectrum statistic, which naturally avoids some mistakes/inaccuracies previously common in the literature. We perform proof-of-principle fits to Rossi X-ray Timing Explorer data of Cygnus X-1.
spellingShingle Mastroserio, G
Ingram, A
van der Klis, M
Multi-time-scale X-ray reverberation mapping of accreting black holes
title Multi-time-scale X-ray reverberation mapping of accreting black holes
title_full Multi-time-scale X-ray reverberation mapping of accreting black holes
title_fullStr Multi-time-scale X-ray reverberation mapping of accreting black holes
title_full_unstemmed Multi-time-scale X-ray reverberation mapping of accreting black holes
title_short Multi-time-scale X-ray reverberation mapping of accreting black holes
title_sort multi time scale x ray reverberation mapping of accreting black holes
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