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We study the star-formation activity in a sample of $\sim$ 56,000 brightestcluster galaxies (BCGs) at $0.05 < z < 0.42$ using optical and infra-red datafrom SDSS and WISE. We estimate stellar masses and star-formation rates (SFR)through SED fitting and study the evolution of the SFR with redshift as well asthe effects of BCG stellar mass, cluster halo mass and cooling time on starformation. Our BCGs have $SFR = 1.4\times10^{-3}-275.2$ [$\rm M_{\odot}$/yr]and $sSFR=5 \times 10^{-15}-6 \times 10^{-10}$ [yr$^{-1}$] . We find thatstar-forming BCGs are more abundant at higher redshifts and have higher $SFR$than at lower redshifts. The fraction of star-forming BCGs ($f_{\rm SF}$)varies from 30% to 80% at $0.05 < z < 0.42$. Despite the large values of$f_{\rm SF}$, we show that only 13% of the BCGs lie on the star-forming mainsequence for field galaxies at the same redshifts. We also find that $f_{\rmSF}$ depends only weakly on $\rm M_{200}$, while it sharply decreases with $\rmM_{*}$. We finally find that the $SFR$ in BCGs decreases with increasing $\rmt_{cool}$, suggesting that star formation is related to the cooling of theintra-cluster medium. However, we also find a weak correlation of $\rm M_{*}$and $\rm M_{200}$ with $\rm t_{cool}$, suggesting that AGN are heating theintra-cluster gas around the BCGs. We compare our estimates of $SFR$ with thepredictions from empirical models for the evolution of the $SFR$ with redshift,finding that the transition from a merger dominated to a cooling-dominated starformation may happen at $z < 0.6$.

monthly notices of the royal astronomical society

The Evolution of Brightest Cluster Galaxies in the Nearby Universe II:  The star-formation activity and the Stellar Mass from Spectral Energy  Distribution