A duality in the origin of bulges and spheroidal galaxies
  Studying the resolved stellar populations of the different structural
components which build massive galaxies directly unveils their assembly
history. We aim at characterizing the stellar population properties of a
representative sample of bulges and pure spheroids in massive galaxies
($M_{\star}>10^{10}$ M$_{\odot}$) in the GOODS-N field. We take advantage of
the spectral and spatial information provided by SHARDS and HST data to perform
the multi-image spectro-photometrical decoupling of the galaxy light. We derive
the spectral energy distribution separately for bulges and disks in the
redshift range $0.14<z\leq1$ with spectral resolution $R\sim50$. Analyzing
these SEDs, we find evidences of a bimodal distribution of bulge formation
redshifts. We find that 33% of them present old mass-weighted ages, implying a
median formation redshift $z_{\rm{form}}={6.2}_{-1.7}^{+1.5}$. They are relics
of the early Universe embedded in disk galaxies. A second wave, dominant in
number, accounts for bulges formed at median redshift
$z_{\rm{form}}={1.3}_{-0.6}^{+0.6}$. The oldest (1$^{\rm{st}}$-wave) bulges are
more compact than the youngest. Virtually all pure spheroids (i.e., those
without any disk) are coetaneous with the 2$^{\rm{nd}}$-wave bulges, presenting
a median redshift of formation $z_{\rm{form}}={1.1}_{-0.3}^{+0.3}$. The two
waves of bulge formation are not only distinguishable in terms of stellar ages,
but also in star formation mode. All 1$^{\rm st}$-wave bulges formed fast at
$z\sim6$, with typical timescales around 200 Myr. A significant fraction of the
2$^{\rm{nd}}$-wave bulges assembled more slowly, with star formation timescales
as long as 1 Gyr. The results of this work suggest that the centers of massive
disk-like galaxies actually harbor the oldest spheroids formed in the Universe.
