  The present work reports on the discovery of three stars that we have
identified to be rotating Sun-like stars, based on rotational modulation
signatures inferred from light curves from the CoRoT mission's Public Archives.
In our analysis, we performed an initial selection based on rotation period and
position in the Period--$T_{\rm eff}$ diagram. This revealed that the stars
CoRoT IDs 100746852, 102709980, and 105693572 provide potentially good matches
to the Sun with similar rotation period. To refine our analysis, we applied a
novel procedure, taking into account the fluctuations of the features
associated to photometric modulation at different time intervals and the
fractality traces that are present in the light curves of the Sun and of these
"New Sun" candidates alike. In this sense, we computed the so-called Hurst
exponent for the referred stars, for a sample of fourteen CoRoT stars with sub-
and super-solar rotational periods, and for the Sun, itself, in its active and
quiet phases. We found that the Hurst exponent can provide a strong
discriminant of Sun-like behavior, going beyond what can be achieved with
solely the rotation period itself. In particular, we find that CoRoT ID
105693572 is the star that most closely matches the solar rotation properties,
as far as the latter's imprints on light curve behavior is concerned. The stars
CoRoT IDs 100746852 and 102709980 have significant smaller Hurst exponents than
the Sun, notwithstanding their similarity in rotation periods.
