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Annual Report 2011 Max Planck Institute for Astronomy

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32 II. Highlights<br />

These are galaxies in the special phase during which<br />

their black holes grow by swallowing surrounding matter<br />

and in the process emit enormous amounts of electromagnetic<br />

radiation. Characteristic emission lines allow<br />

the measurement of the black hole mass using a standard<br />

method which relates the width of these emission lines to<br />

the mass of the central black hole (Fig.II.3.1).<br />

However, <strong>for</strong> these galaxies it is the galaxy’s mass<br />

itself that is the challenge: At such distances, standard<br />

methods of estimating a galaxy’s mass become exceedingly<br />

uncertain or fail altogether. Now we have<br />

<strong>for</strong> the first time succeeded in directly and simultaneously<br />

“weighing” both a galaxy and its central<br />

black hole at such a great distance using a sophisticated<br />

and novel method. The galaxy studied is SDSS<br />

J090543.56+043347.3, selected from the quasar sample<br />

of the Sloan Digital Sky Survey and lying at a redshift<br />

z 1.3, corresponding to a distance of 8.8 billion lightyears<br />

from us.<br />

The key idea behind dynamical galaxy masses is the<br />

following: Stars and gas in a galaxy orbit its centre. The<br />

different orbital speeds of the gas clouds are a direct function<br />

of the galaxy’s mass distribution. Determine orbital<br />

speeds and you can determine the galaxy’s total mass.<br />

This task was very challenging. Mainly, we had to overcome<br />

two problems: For one, at such a great distance, the<br />

angular size of SDSS J090543.56+043347.3 amounts to<br />

about one arc-second – the apparent size of an ordinary<br />

DVD viewed from a distance of 25 kilometres. In order<br />

to obtain the dynamical mass of the galaxy from the motion<br />

of the galaxy’s gas clouds at different regions across<br />

the galaxy had to be resolved. This was only possible using<br />

the unique combination of the SiNfONi integral field<br />

spectrograph at the Very Large Telescope (VLT) belonging<br />

to the European Southern Observatory (eSO) on Cerro<br />

Paranal in northern Chile. SiNfONi was coupled with an<br />

adaptive optics (AO) system with the ParSec laser guide<br />

star which was co-developed by MPIA, to strongly reduce<br />

the atmospheric distortion of celestial images. SiNfONi is<br />

able to produce a spectrum <strong>for</strong> each of 1600 pixels over a<br />

3 3 arc-second field while the AO system increased the<br />

spatial resolution from about 1 arc-second to the 0.35 arcseconds<br />

required <strong>for</strong> this project.<br />

The second difficulty is the fact that SDSS<br />

J090543.56+043347.3 is a quasar, whose central region<br />

emits intense light, several times brighter than the emission<br />

from the underlying galaxy – which poses an<br />

obvious problem. For the measurement of the gas velocity<br />

field, first the extremely intense nuclear light around<br />

the black hole had to be separated from the light emitted<br />

by the moving gas clouds in the rest of the galaxy. Only<br />

after this process, the analysis and modelling of the velocity<br />

structure of the galaxy can become possible, resulting<br />

in the derived dynamical mass inside the central<br />

5.25 1.05 kiloparsecs of the galaxy of MDYN 2.05 +1.68<br />

–0.74<br />

1011 solar masses. The data and analysis involved in<br />

this are shown in Figures II.3.2 and II.3.3.<br />

Combining this result with the mass value of the gal-<br />

axy’s central black hole of M BH,Hα 2.83 +1.93<br />

–1.13 10 8 solar<br />

masses, which we measured from the nuclear Hα<br />

line in the same dataset, we were able to compute the<br />

ratio of black hole to dynamical bulge mass of the galaxy.<br />

As it turns out, this value is nearly the same as that<br />

which would be expected <strong>for</strong> a present-day galaxy (Fig.<br />

II.3.4). Apparently, nothing major has changed between<br />

now and then: At least out to this distance, 9 billion<br />

years into the past, the correlation between galaxies<br />

and their black holes appears to be very close to<br />

their modern-day counterparts.<br />

When we estimate the expected star <strong>for</strong>mation and<br />

black hole growth in SDSS J090543.56+043347.3 we<br />

find that both black hole and stellar mass are not expected<br />

to grow by more than 50 % between z 1.3<br />

and today – apparently, over this long period of time<br />

stellar and black hole mass do not change very much.<br />

However, what will still happen is that the orbits of the<br />

stars in SDSS J090543.56+043347.3 will be reshuffled<br />

by collisions with smaller companion galaxies from orbits<br />

in the stellar disk to the stellar bulge. This is supported<br />

by the fact that we see indications <strong>for</strong> a substantial<br />

gaseous disk component in the galaxy but expect<br />

that by z 0 it will be largely a spheroidal galaxy without<br />

many disk stars.<br />

We have now started to expand this novel analysis<br />

to a larger set of 15 further galaxies using a total of 80<br />

hours of SiNfONi time; 30 hours of guaranteed time invested<br />

by MPIA have already been observed, 50 fur-<br />

Fig. II.3.4: Local z 0 scaling relations (symbols and regression<br />

line) <strong>for</strong> black hole vs. dynamical host galaxy mass (Häring<br />

& Rix 2004, ApJ, 604, L89 with modified values by Sani et<br />

al. <strong>2011</strong>, MNRAS, 413, 1479). Overplotted is our estimate of<br />

the dynamical galaxy mass of SDSS J090543.56+043347.3 vs.<br />

the black hole mass, once <strong>for</strong> an old literature value based on<br />

the MgII line (blue star) and vs. our new, improved black hole<br />

mass based on Ha. There is no discernable offset from the<br />

z 0 relation.<br />

Black Hole Mass [M ]<br />

10 10<br />

10 9<br />

10 8<br />

10 7<br />

108 106 Credit: Katherine J. Inskip<br />

109 10 10 10<br />

Dynamical Bulge Mass [M ]<br />

11 1012 1013

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