Specifying the Measures of the Time Delays in Gravitationally Lensed Quasar Q2237+0305 Images

Time delays in the images of gravitationally lensed quasars play crucial role in understanding the geometry and physical context of the gravitational lens systems (GLS). In case of the short time delays on hourly/daily timescales, correlating the X-ray/gamma-ray data is the best way to determine them as the variability of quasars at these energies is usually faster than at lower ones. Here, we demonstrate the usage of our web tool for correlation function analysis, applying the cross-correlation (asymmetrical) function to the Chandra and auto-correlation (symmetrical) one to the XMM-Newton light curves of the images of the quasar in the famous GLS Q2237+0305 (“Huchra lens”/“Einstein Cross”). We also describe the way to distinguish between the GLS time delay and periodicity in light curves based on translational symmetry of cross-correlation function in case of periodicity of the signal. We have estimated the delays between the gravitationally lensed images and the timescales of (quasi)periodical flux variations of the quasar in the Einstein Cross.

Authors

Institutions

Publication Details

Journal
Symmetry
Published
2026-01-15
DOI
https://doi.org/10.3390/sym18010162
Citations
1
Primary Topic
Astrophysical Phenomena and Observations
Type
article
Field-Weighted Citation Impact
23.83
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

Specifying the Measures of the Time Delays in Gravitationally Lensed Quasar Q2237+0305 Images

E. Fedorova, Antonino Del Popolo
1 citations
Symmetry
Astrophysical Phenomena and Observations
23.83
article

Specifying the Measures of the Time Delays in Gravitationally Lensed Quasar Q2237+0305 Images

E. Fedorova, Antonino Del Popolo
article en
1 citations

Abstract

Time delays in the images of gravitationally lensed quasars play crucial role in understanding the geometry and physical context of the gravitational lens systems (GLS). In case of the short time delays on hourly/daily timescales, correlating the X-ray/gamma-ray data is the best way to determine them as the variability of quasars at these energies is usually faster than at lower ones. Here, we demonstrate the usage of our web tool for correlation function analysis, applying the cross-correlation (asymmetrical) function to the Chandra and auto-correlation (symmetrical) one to the XMM-Newton light curves of the images of the quasar in the famous GLS Q2237+0305 (“Huchra lens”/“Einstein Cross”). We also describe the way to distinguish between the GLS time delay and periodicity in light curves based on translational symmetry of cross-correlation function in case of periodicity of the signal. We have estimated the delays between the gravitationally lensed images and the timescales of (quasi)periodical flux variations of the quasar in the Einstein Cross.

SymmetryVol. 18(1)
Astronomical Observatory of Rome (IT), University of Catania (IT), National Institute for Astrophysics (IT)
Openalex Percentile: Top 2%
Astrophysical Phenomena and Observations
23.83
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.