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One of the novelties of the Gaia-DR3 with respect to the previous datareleases is the publication of the multiband light curves of about 1 millionAGN. The goal of this work was the creation of a catalogue of variable AGN,whose selection was based on Gaia data only. We first present theimplementation of the methods to estimate the variability parameters into aspecific object study module for AGN. Then we describe the selection procedurethat led to the definition of the high-purity variable AGN sample and analysethe properties of the selected sources. We started from a sample of millions ofsources, which were identified as AGN candidates by 11 different classifiersbased on variability processing. Because the focus was on the variabilityproperties, we first defined some pre-requisites in terms of number of datapoints and mandatory variability parameters. Then a series of filters wasapplied using only Gaia data and the Gaia Celestial Reference Frame 3(Gaia-CRF3) sample as a reference.The resulting Gaia AGN variable sample, namedGLEAN, contains about 872000 objects, more than 21000 of which are newidentifications. We checked the presence of contaminants by cross-matching theselected sources with a variety of galaxies and stellar catalogues. Thecompleteness of GLEAN with respect to the variable AGN in the last SloanDigital Sky Survey quasar catalogue is about 47%, while that based on thevariable AGN of the Gaia-CRF3 sample is around 51%. From both a comparison withother AGN catalogues and an investigation of possible contaminants, we concludethat purity can be expected to be above 95%. Multiwavelength properties ofthese sources are investigated. In particular, we estimate that about 4% ofthem are radio-loud. We finally explore the possibility to evaluate the timelags between the flux variations of the multiple images of strongly lensedquasars, and show one case.

Gaia Data Release 3: The first Gaia catalogue of variable AGN