Explanation for the absence of secondary peaks in black hole light curve autocorrelations

Fuente: arXiv
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Auteurs principaux: Cárdenas-Avendaño, Alejandro, Gammie, Charles, Lupsasca, Alexandru
Format: Preprint
Publié: 2024
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author Cárdenas-Avendaño, Alejandro
Gammie, Charles
Lupsasca, Alexandru
author_facet Cárdenas-Avendaño, Alejandro
Gammie, Charles
Lupsasca, Alexandru
contents The observed radiation from hot gas accreting onto a black hole depends on both the details of the flow and the spacetime geometry. The lensing behavior of a black hole produces a distinctive pattern of autocorrelations within its photon ring that encodes its mass, spin, and inclination. In particular, the time autocorrelation of the light curve is expected to display a series of peaks produced by light echoes of the source, with each peak delayed by the characteristic time lapse $τ$ between light echoes. However, such peaks are absent from the light curves of observed black holes. Here, we develop an analytical model for such light curves that demonstrates how, even though light echoes always exist in the signal, they do not produce autocorrelation peaks if the characteristic correlation timescale $λ_0$ of the source is greater than $τ$. We validate our model against simulated light curves of a stochastic accretion model ray traced with a general-relativistic code, and then fit the model to an observed light curve for Sgr A*. We infer that $λ_0>τ$, providing an explanation for the absence of light echoes in the time autocorrelations of Sgr A* light curves. Our results highlight the importance for black hole parameter inference of spatially resolving the photon ring via future space-based interferometry.
format Preprint
id arxiv_https___arxiv_org_abs_2406_04176
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Explanation for the absence of secondary peaks in black hole light curve autocorrelations
Cárdenas-Avendaño, Alejandro
Gammie, Charles
Lupsasca, Alexandru
High Energy Astrophysical Phenomena
Astrophysics of Galaxies
General Relativity and Quantum Cosmology
High Energy Physics - Theory
The observed radiation from hot gas accreting onto a black hole depends on both the details of the flow and the spacetime geometry. The lensing behavior of a black hole produces a distinctive pattern of autocorrelations within its photon ring that encodes its mass, spin, and inclination. In particular, the time autocorrelation of the light curve is expected to display a series of peaks produced by light echoes of the source, with each peak delayed by the characteristic time lapse $τ$ between light echoes. However, such peaks are absent from the light curves of observed black holes. Here, we develop an analytical model for such light curves that demonstrates how, even though light echoes always exist in the signal, they do not produce autocorrelation peaks if the characteristic correlation timescale $λ_0$ of the source is greater than $τ$. We validate our model against simulated light curves of a stochastic accretion model ray traced with a general-relativistic code, and then fit the model to an observed light curve for Sgr A*. We infer that $λ_0>τ$, providing an explanation for the absence of light echoes in the time autocorrelations of Sgr A* light curves. Our results highlight the importance for black hole parameter inference of spatially resolving the photon ring via future space-based interferometry.
title Explanation for the absence of secondary peaks in black hole light curve autocorrelations
topic High Energy Astrophysical Phenomena
Astrophysics of Galaxies
General Relativity and Quantum Cosmology
High Energy Physics - Theory
url https://arxiv.org/abs/2406.04176