5.3. Additional Clues to SBH and Galaxy Formation and Further Challenges
I conclude this review with some general comments about the early stages
of galaxy and black hole formation. The
M
-
relation (and, even
more so, the
M
- MDM
relation) implies a causal connection between the evolution of black holes
and their host galaxies. But what came first: the stars or the black holes?
And was the
M
-
relation imprinted
during the early stages of galaxy
formation? The answer to the latter question is generally assumed to be
affirmative, but in fact we have no direct proof of it. The most distant
galaxy in the
M
-
plot
(NGC 6251,
Ferrarese & Ford 1999)
is at ~ 100 Mpc. Studies of reverberation-mapped galaxies
(Ferrarese et al. 2001,
Pogge et al. 2002)
have reached two times farther, and it might be technically
possible to push the envelope up to z ~ 1. It seems unlikely that
we will ever be able to build an
M
-
relation at the
redshift corresponding to the optically
bright phase of the QSOs (z ~ 2 - 3), let alone at redshifts at
which the
first protogalactic fragments are believed to have formed, z >
5. Present day dwarf galaxies might very well be relics from such an era
(Mateo 1998;
Carraro et al. 2001);
however, detecting SBHs in these systems requires a
spatial resolution well beyond the capabilities of present instrumentation.
In fact, the
M
-
relation is defined
primarily by bright giant ellipticals
which are likely to have an extensive history of merging. In other words,
we have no direct information about the "primordial" connection between
supermassive black holes and their hosts: what we see is the result of
gigayears of evolution.
A scenario in which galaxy formation precedes the formation of supermassive black holes seems to fit more naturally within the current paradigm of hierarchical structure formation (e.g. Miralda-Escude & Rees 1997). For instance, star formation can proceed in halos with virial temperature as low as 104 K, which can form at redshifts z > 10 (e.g. Ostriker & Gnedin 1996). Subsequent stellar evolution in these systems would produce enough energy through stellar winds or supernovae explosions to expel most of the remaining gas from the shallow potential wells (Couchman & Rees 1986; Dekel & Silk 1986), likely inhibiting the formation of supermassive black holes. Deeper potential wells, which are more conducive to SBH formation (e.g. Haehnelt, Natarajan & Rees 1998) would only form at later times. Studies of elemental abundances in high redshift (z > 3) QSOs support this view: most of the metal enrichment and star formation seem to have taken place at least 1 Gyr before the luminous phase of the QSO (Hamann & Ferlan 1999 and references therein; Dietrich et al. 1999).
Fig. 7 shows a comparison between the mass
accretion rate onto optically luminous QSOs with
M
> 7 × 108 (corresponding to the magnitude limit of the
SDSS QSO Survey for objects radiating at the Eddington limit), and the star
formation rate from
Steidel et al. 1999
(see also
Abraham et al. 1999;
Cowie et al. 1997).
Similarities between the two curves, which have been
noted many times (e.g.
Boyle & Terlevich 1998)
are diminished by these recent results, even after the
QSO results are corrected for the possible contamination of obscured
objects
(Barger et al. 2001;
Gilli et al. 2001;
Salucci et al. 1999).
If anything, Fig. 7 supports the
conclusion that star formation was well underway by the time the QSOs
started shining.
![]() |
Figure 7. The mass accretion rate onto
supermassive black holes
with M |
The connection between QSO activity and merging rate is also not readily
apparent: observations show that the merging rate depends on redshift as
(1 + z)
with
= 2 - 4
(Le Fevre et al. 2000;
Burkey et al. 1994;
Carlberg et al. 1994;
Yee & Ellingson 1995;
Abraham 1999).
Even in the z < 2.3 range, where both curves
decline, the number of mergers declines by at most a factor 30, while
the comoving
density of QSO declines by three orders of magnitude. Perhaps more
telling is the
comparison with the merging history of DM halos and the ensuing formation of
galaxies. Fig. 7 also shows the distribution of
formation redshifts for present day
halos with virial velocities > 300 km s-1 taken from the
N-body simulation of
Gottlöber, Klypin &
Kravtsov (2001).
According to Figures 5 and
6, these are the
halos associated with the black holes sampled by the SDSS, also shown in
Fig. 7.
Virtually all such halos are able to host a luminous galaxy (a condition
reached when the halo progenitor first reaches a virial velocity > 50 km
s-1) before a redshift ~ 2.5, i.e. before the optically
bright phase of the QSOs.
In the midst of all this, one thing is certain: SHBs can no longer be studied in isolation. Understanding how they form, and how they shape their surroundings, requires a good deal more information from seemingly unrelated fields than could have been anticipated just a few years ago.