  We present the first Gaia catalogue of eclipsing binary candidates released
in Gaia DR3, describe its content, provide tips for its usage, estimate its
quality, and show illustrative samples. The catalogue contains 2,184,477
sources with G magnitudes up to 20 mag. Candidate selection is based on the
results of variable object classification performed within the Gaia Data
Processing and Analysis Consortium, further filtered using eclipsing
binary-tailored criteria based on the G light curves. To find the orbital
period, a large ensemble of trial periods is first acquired using three
distinct period search methods applied to the cleaned G light curve. The G
light curve is then modelled with up-to two Gaussians and a cosine for each
trial period. The best combination of orbital period and geometric model is
finally selected using Bayesian model comparison based on the BIC. A global
ranking metric is provided to rank the quality of the chosen model between
sources. The catalogue is restricted to orbital periods larger than 0.2 days.
About 530,000 of the candidates are classified as eclipsing binaries in the
literature as well, out of ~600,000 available crossmatches, and 93% of them
have published periods compatible with the Gaia periods. Catalogue completeness
is estimated to be between 25% and 50%, depending on the sky region, relative
to the OGLE4 catalogues of eclipsing binaries towards the Galactic Bulge and
the Magellanic Clouds. The analysis of an illustrative sample of ~400,000
candidates with significant parallaxes shows properties in the observational HR
diagram as expected for eclipsing binaries. The subsequent analysis of a
sub-sample of detached bright candidates provides further hints for the
exploitation of the catalogue. The orbital periods, light curve model
parameters, and global rankings are all published in the catalogue with their
related uncertainties where applicable.
