Evidence in Other Galaxies (2) ...

Because the water masers in NGC 4258 produce sharp spectral lines, and because microwaves are not strongly attenuated by the gas and dust near the nucleus of the galaxy, observation of the masers has permitted the motion of gas near the center to be mapped very precisely using the Very Long Baseline Array (VLBA). The following figure summarizes the results of this investigation.

This observation of water maser emission from the central region of NGC 4258 using long-baseline radio interferometry leads to the following results.

  • The masers are mapped with a precision of better than 1 milli-arcsecond and their radial velocities indicate bulk motion of the gas within several light years of the core at velocities approaching 1000 km/s. In the figure above masers approaching us (blue shift) are shown in blue, masers receding from us (red shift) are shown in red, and those with no net radial velocity are shown in green. From this we may infer the general rotation of the gas disk, as indicated by the arrow labeled "Keplerian motion".
  • The line-of-sight velocity inferred from the Doppler shifts, and the precise positions of the masers, allows the detailed orbital motion of gas around the nucleus to be determined with high confidence. These measurements indicate that the masers are embedded in a dusty, molecular gas disk that is revolving around the core. The disk is very thin, with a diameter that is more than 300 times its thickness, and it has a pronounced warp, as indicated in the figure. It is not very well understood why the disk is so thin, or why it is warped.
  • The motion of the masers is Keplerian (the rotation curve follows Kepler's laws) to better than 1 percent accuracy, meaning that the masers are in orbit around a large mass that is completely contained within all their orbits. (Recall the discussion of rotation curves for spiral galaxies in Chapter 23--in that case the motion is not like this because there is a dark matter halo and increasing the orbital size increases the amount of mass enclosed within it.)
  • The Keplerian motion of the masers allows the value of the central mass about which they are revolving to be determined with high precision. The mass obtained is approximately 35 million times that of the Sun.
  • The measured central mass and measured size of the region enclosed by the maser orbits allows a minimum density of 100 million solar masses per cubic light year to be computed. This is 10,000 times more dense than any known star cluster. If such a star cluster existed, the average separation between the stars would be only about twice the radius of the Solar System and calculations indicate that collisions of the stars with each other would either cause the stars of the cluster to drift apart or mutually collapse to a huge black hole. Therefore, the only plausible explanation for this enormous density is a supermassive black hole.
  • The nucleus of the galaxy produces radio jets that appear to come from the dynamical center of the rotating disk and are approximately perpendicular to it. The radio emission at 1 cm wavelength is superposed on the drawing of the warped disk. In addition the "arms" shown in the 20 cm RF observation (top image on the right) do not coincide with the spiral arms in the optical image (lower right image). It is commonly believed that the "arms" in the 20 cm radio frequency map are extensions of the sychrotron jet seen nearer the core. The position of the radio jets, coupled with the precise location of the center of the disk, permits the position of the central black hole engine to be determined within the uncertainty of the black circle shown in the preceding figure. Note that this black circle denotes the uncertainty in location of the black hole, not its size. From the scale attached to the top figure, the black circle is about 0.05 ly in diameter, but a supermassive black hole would have a radius hundreds of times smaller than this.
  • These results taken together make NGC 4258 one of the strongest cases yet for the presence of supermassive black hole engines at the cores of active galactic nuclei.

    Geometrical Distance to NGC 4258

    The VLBA can detect proper motion of the maser sources in NGC 4258 with a precision of several micro-arcseconds (millionths of a second of arc) per year. The actual maser motion corresponds to approximately 35 micro-arcseconds per year, so it is easily measurable. These measurements provide the basis for methods based on pure geometry (not standard candles) to determine the distance to NGC 4258. The resulting distance is 20.8 million ly, with an uncertainty of 4.2 million ly. There presently is a 20 percent discrepancy between this value and the distance to NGC 4258 inferred using Cepheid variable measurements of the Hubble Space Telescope (but note that the combined uncertainties in the two methods of distance determination are comparable to the difference of 20 percent, so it is unclear as yet whether this discrepancy is significant).

    Supermassive Black Holes and Galaxies
    More generally, we believe that the several examples given in this module of evidence for supermassive black holes are but representative. Perhaps most galaxies, including our own, contain supermassive black holes at their cores. If the black holes are not presently accreting matter they are quiet; if they are accreting matter, we see evidence of an active galaxy; if they are accreting matter but are so far away that we can see only the bright nucleus, we see a quasar.