Protogalaxy Collisions Birthing Supermassive Black Holes

Title: Direct collapse black hole formation via high-velocity collisions of protogalaxies
Authors: Kohei Inayoshi, Eli Visbal, Kazumi Kashiyama
First Author’s institution: Columbia University
Status: Accepted to The Astrophysical Journal

Quasars are some of the brightest objects in the sky, powered by accretion of materials onto black holes in the centers of galaxies. Quasars at high redshifts (z >~6) alluded to the existence of supermassive black holes (SMBHs) with masses >~ a few x 109 M within the first billion years after the Big Bang (z ~ 6 corresponds to ~ 1 Gyr after the Big Bang). How were such massive black holes able to form in such a short time? Our Solar System, for instance, only formed ~ 9 Gyr after the Big Bang. This question continues to perplex us till this day.

Cooking up Supermassive Black Holes: Three Different Recipes

Astronomers, creative as they are, came up with three mechanisms by which this might happen. The first and simplest scenario is gas accretion onto high mass (10-100 M) black holes left behind by the first generation of stars. There is an upper limit to this accretion rate which is set by the balance between the gravitational force of the infalling materials and the repulsive radiative force from the black hole accretion disks. This limit is known as the Eddington limit. In order to grow 109 M black holes within the first Gyr after the Big Bang, baby black holes have to accrete at the Eddington limit since birth for their entire lifetime, which is unlikely due to some form of radiative feedback from the accreting black holes.

A second way to form SMBH is via major mergers. This is not a promising route as mergers could expel gas during the merging process, thus halting rather than encouraging accretion. Gases are ejected due to the large kick velocity from the merger.

The third method to form a SMBH is by first forming a supermassive star (SMS) with mass >~ 105 M☉ very early on in the history of the Universe . The supermassive star will form a SMBH when it collapses and dies. SMBH that forms from the direct collapse of a SMS is also known as a direct-collapse black hole or DCBH (because we astronomers love to name things and are obsessed with acronyms). This is favorable as the larger mass of the initial black hole seed reduces the accretion time needed to reach ~109 M. The third formation scenario will be the focus of today’s astrobite. The topic of supermassive stars as progenitors of SMBHs has been explored in the past in various astrobites, such as this one.

Recipe of the Day: A Dash of Supermassive Stars and A Pinch of Colliding Protogalaxies

How do we form supermassive stars? Almost the same way we form normal-sized stars, through the collapse of gas clouds. In normal star formation, the gas clouds comprise primarily of molecular hydrogen, which helps keep the clouds very cool and consequently promote fragmentation into smaller clumps. These small clumps are the birth places of the stars we see today.

To create a SMS, we do not want the cloud to fragment; instead, the gas cloud should collapse as one giant blob into one massive protostar. To do this, we need to prevent cooling in the gas cloud, which can be done with low-metallicity (as metals are major cooling agents) and no H2. The whole problem of SMS formation thus amounts to how well we can suppress H2 cooling in the parent gas cloud. One pathway to achieve this is by breaking up H2 through collision: H2 + H → 3H. This can happen at high enough density and temperature typical of collisions in gas clouds.

The authors of today’s paper collide two protogalaxies  (gas clouds en route to forming galaxies) and their dark matter halos at high velocities as a way to form SMS that also circumvents the problem of H2 cooling. High-velocity — we will define what “high-velocity” mean soon — collision of protogalaxies will create a hot and dense enough region to destroy H2 via collisions. In order for this to happen, the collision has to happen within a certain velocity range: too low and the gas will not be shocked to the required density and temperature; too high and the gas will not be able to cool and collapse. Figure 1 shows the collision-velocity window which depends on redshift. For a SMS to form at z >~ 10 (~400 Myr after the Big Bang), protogalaxies have to collide with a relative velocity of >~ 200 km/s.


FIG. 1 – The range of collision (or relative) velocity required for supermassive star (SMS) formation. The solid curve is the lower velocity limit while the dashed curve is the upper velocity limit. The formation of SMS happens at high redshifts of ≥ 10. Since the range of collision velocity window increases with redshifts, it is easier to form a SMS at higher redshifts.

How often might protogalaxy collisions (and so formation of supemassive stars) occur? To an order of magnitude, the authors estimated it to be 10-9 collisions per Mpc-3 by z ~ 10. Although extremely rare, the rate of occurrence of such collisions is still high enough to potentially explain the abundance of high-redshift quasars. Figure 2 shows the cumulative rate of occurrence of such collisions as a function of redshift.


FIG. 2 – The cumulative number density of protogalaxy collisions, nDCBH as a function of redshift. At z ∼ 10, the number density of collisions is ∼ 10-9 Mpc-3.

Are there any observable signatures from protogalaxy collisions? Possibly. Since the gas in the colliding system are mostly neutral, there will be cooling radiation from regions that undergo such collisions. This radiation could be detected by the James Webb Space Telescope (JWST).

Imperfect Recipe

So is the mystery of SMBHs solved? Can we now declare victory, pack up, and go home? Not quite…The authors adopted several assumptions in their paper, some of which are more valid than the others. For instance, the thermodynamics of the colliding gas is treated one-dimensionally. However, protogalaxy collisions are actually three-dimensional, so we need 3D simulations to fully capture this formation scenario. Additionally, there are also uncertainties involved in estimating the frequency of protogalaxy collisions.

The formation of supermassive stars via collisions of protogalaxies is intriguing. To first order, it is able to produce roughly the same number density of SMBHs as suggested by high-redshift quasars. However, there are still rough edges that need to be smoothed out before we can say for sure that we’ve nailed down the solution to the problem of SMBH formation.


About Suk Sien Tie

I am a third year PhD student at the Department of Astronomy at The Ohio State University. I am currently working on quantitative analyses of various quasar selection methods using the Dark Energy Survey (DES) and quasar variability via microlensing.

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  1. Thank you, Suk Sien, for such a clear and helpful explanation – and I loved the cooking/recipe analogy!

  2. Very nice post! One quick question: why can’t we explain the existence of these blackholes with what we already knew since large stars burn quicker?

  3. Great post! How difficult would it be to move to a 3D assumption for protogalaxy collisions?

  4. Slightly off-topic, but related. You say that major mergers are not promising for forming SMBHs because they “could expel gas during the merging process, thus halting rather than encouraging accretion”. I’m wondering how we know this. Through computer modeling? Something we can observe? Or just theoretical law?

  5. Have SMSs been observed directly or are they just theoretical predictions? I think it’d be pretty cool to observe such a star doomed to one day become a black hole!

  6. Do the SMBHs created by each of these three mechanisms differ in any measurable way? Do you think we would someday be able to identify which objects had which type of origin?
    Also – since the authors considered one dimensional collisions instead of three dimensional, is the probability of collision actually much smaller?

  7. Really interesting article!! Would the radiation from so long ago actually be able to be detected by the JWST?

  8. Is the rate of proto-galaxy collisions nailed down pretty well by simulations, or are there uncertainties that could lead to more protogalaxy collisions than we once thought? For example, how sensitive are these rates to the present day number of dwarf galaxies/issues like too big to fail, etc.?

  9. I would be very interested to see if your 3D simulations would help confirm some of your theories on SMBH formation.

  10. It seems that the rate of collisions was much greater in the early universe. Is this simply because it was smaller, or are there other factors at play?


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