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Energy input from quasars regulates the growth and activity of black holes and their host galaxies

Astrophysics · Submitted 9 Feb 2005 · 31 references

Pith's verdict: The landmark AGN-feedback merger simulation: the qualitative quenching result and the M_BH–σ slope hold up, but the ~100 Myr quasar lifetime is a model output the abstract dresses up as a determination.

T0 · AI review

How this review was made: An AI referee (selfhosted/deepseek-v4.1-flash) read the paper on October 29, 2026 and answered a fixed list of questions about it. T0 is the starting level every paper gets. The levels describe how deeply Pith has checked the paper, never the authors.

  1. T0 AI review An AI read the paper and answered a fixed list of questions.
  2. T1 Audit Automatic checks that the references and files the paper relies on exist and match.
  3. T2 Compute The paper's code or calculations re-run with the same results.
  4. T3 Formal statement The claims written out in a formal math language a computer can read.
  5. T4 Proof Those claims proved, and the proof checked by computer.

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arXiv IDastro-ph/0502199 (version 1)
Pith ID7EHA7PNL, Pith's permanent record of this paper and its review
CitationCMU), Lars Hernquist (Harvard), Tiziana Di Matteo (MPA, Volker Springel (MPA). "Energy input from quasars regulates the growth and activity of black holes and their host galaxies." arXiv:astro-ph/0502199 (2005). https://pith.science/paper/7EHA7PNL
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Referee report
The paper

The paper claims

The energy released by gas falling onto a supermassive black hole during a galaxy collision is enough to blow the remaining gas out of the nucleus, shutting down both star formation and the black hole's own growth.

The reading

The paper asks where the observed link between a galaxy's central black hole mass and the random motions of its bulge stars comes from, and why quasars blaze and then switch off. Its answer is that these are one story: a galaxy collision drives gas into the centre, that gas feeds the black hole, and the energy released by the feeding pushes the leftover gas back out. The authors run hydrodynamical simulations of colliding disk galaxies that follow gravity, gas cooling, star formation, supernova heating and black hole accretion at the same time, and compare runs with and without the black hole. With the black hole switched on, the merger remnant ends up gas-poor and quiet; without it, the remnant keeps a cold gas reservoir and keeps making stars. Because a black hole must grow larger to clear out a deeper gravitational well, the mass it reaches when growth stops tracks the depth of the bulge potential, which is exactly what the observed black hole mass versus stellar velocity dispersion relation records.

What carries the argument

The load-bearing device is a sub-grid prescription that couples a black hole 'sink' particle to the resolved gas around it: the accretion rate is estimated with a spherical Bondi-Hoyle formula from the local gas density and sound speed, and the feedback is a heating term $f L = f eta dot{M} c^2$ with $f=0.05$ and $eta=0.1$, so about $0.5$ per cent of the accreted rest mass energy is returned to the surrounding gas. That two-way loop is what does the work: accretion heats and pressurises the gas, the heated gas is expelled, the fuel supply is cut, and accretion stops. The mass at which the loop shuts off is therefore set by how much energy is needed to escape the bulge's gravitational well, which is how a relation between black hole mass and velocity dispersion emerges without being put in by hand.

Extended reading notes

Core claim

The claim is that black hole growth is self-regulating, and that self-regulation quantitatively reproduces the local black hole mass–velocity dispersion relation while also fixing how long a quasar shines. In the simulations, a major merger first produces the familiar starburst, and the same tidal inflows raise the central gas density so that the two black holes, which merge into one, accrete close to the Eddington rate. A fraction $f=0.05$ of the radiated luminosity, with radiative efficiency $f=0.05$ of the rest mass energy converted and $0.5$ per cent of the accreted rest mass returned to the gas as heat, raises the temperature of the circumnuclear gas and drives a wind that expels it. Star formation and accretion are then both quenched, the black hole mass saturates, and the remnant quickly reddens into a dead elliptical; the same merger run without a black hole keeps a dense cold gas supply and forms stars at a steady rate for far longer. Across six galaxy masses and three disk gas fractions, the final black hole masses and bulge velocity dispersions land close to the observed relation, including its normalisation and slope, and the luminous phase lasts approaching $10^8$ years. Because more massive systems have deeper wells and larger gas supplies, their black holes must grow further before the released energy suffices to expel the gas, while lower-mass black holes stay active longer, which the authors read as an explanation for why low-luminosity quasars are more numerous than bright ones.

Load-bearing premise

The load-bearing premise is that a spherical Bondi-Hoyle estimate applied to the resolved, large-scale gas around the black hole gives the true accretion rate on the much smaller scales the simulation cannot resolve; if that estimate is systematically wrong, the growth history that drives the feedback, and hence the final masses, shift with it.

Editorial extensions

If this is right

  • A gas-rich major merger should produce a bright quasar phase lasting up to roughly a hundred million years, after which the nucleus goes quiet on its own.
  • Merger remnants hosting a grown black hole should be gas-poor, have little residual star formation, and redden quickly, while otherwise identical remnants without one keep forming stars.
  • The black hole mass at shut-off should scale with the depth of the bulge potential, so the black hole mass–velocity dispersion relation is a consequence of energy balance rather than an imposed rule.
  • Lower-mass black holes should stay active longer than massive ones, making low-luminosity quasars more common than bright ones, as surveys indicate.
  • The final black hole mass should scale roughly inversely with the assumed feedback efficiency, and a coupling of about five per cent matches the value semi-analytic models need to reproduce the evolution of quasar number density.

Reading between the lines

Editorial extensions of the paper, not claims the author makes directly.

  • Because the final mass scales as roughly $1/f$, an independent measurement of how efficiently quasar outflows couple to gas, combined with the normalisation of the observed relation, would convert a tuned parameter into a measured number.
  • The predicted anti-correlation between quasar lifetime and luminosity implies a particular shape and turnover for the AGN luminosity function; comparing these lifetimes with lifetimes inferred from quasar clustering would test the picture without new hydrodynamics.
  • The same prescription could be carried into cosmological volumes, where it makes a sharper prediction than the idealised mergers shown here: the strongest suppression of star formation should occur in the highest gas-fraction, highest-redshift mergers, leaving post-starburst ellipticals whose colours track their black hole masses.
  • Since the inflow's angular momentum is discarded by construction, the model is silent on whether the accreted gas settles into a disk or launches jets; a radiatively inefficient, jet-dominated phase would change the energy budget and could shift the predicted normalisation of the relation.
Original abstract

In the early Universe, while galaxies were still forming, black holes as massive as a billion solar masses powered quasars. Supermassive black holes are found at the centers of most galaxies today, where their masses are related to the velocity dispersions of stars in their host galaxies and hence to the mass of the central bulge of the galaxy. This suggests a link between the growth of the black holes and the host galaxies, which has indeed been assumed for a number of years. But the origin of the observed relation between black hole mass and stellar velocity dispersion, and its connection with the evolution of galaxies have remained unclear. Here we report simulations that simultaneously follow star formation and the growth of black holes during galaxy-galaxy collisions. We find that in addition to generating a burst of star formation, a merger leads to strong inflows that feed gas to the supermassive black hole and thereby power the quasar. The energy released by the quasar expels enough gas to quench both star formation and further black hole growth. This determines the lifetime of the quasar phase (approaching 100 million years) and explains the relationship between the black hole mass and the stellar velocity dispersion.

The compiled record

The paper's own sentences, arranged, kept beside the review and separate from it. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 6,260 input tokens.

What the abstract itself states, as probabilities: claims first 0.05 · states limitation 0.08 · human participants 0.01 · controlled comparison 0.04 · randomized assignment 0.01 · states quantitative result 0.95 · compares with prior results 0.10 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; .

In the early Universe, while galaxies were still forming, black holes as massive as a billion solar masses powered quasars. Supermassive black holes are found at the centers of most galaxies today, where their masses are related to the velocity dispersions of stars in their host galaxies and hence to the mass of the central bulge of the galaxy. This suggests a link between the growth of the black holes and the host galaxies, which has indeed been assumed for a number of years. But the origin of the observed relation between black hole mass and stellar velocity dispersion, and its connection with the evolution of galaxies have remained unclear. Here we report simulations that simultaneously follow star formation and the growth of black holes during galaxy-galaxy collisions. We find that in addition to generating a burst of star formation, a merger leads to strong inflows that feed gas to the supermassive black hole and thereby power the quasar. The energy released by the quasar expels enough gas to quench both star formation and further black hole growth. This determines the lifetime of the quasar phase (approaching 100 million years) and explains the relationship between the black hole mass and the stellar velocity dispersion.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 In the early Universe, while galaxies were still forming, black holes as massive as a billion solar masses powered quasars. background 1.00 0.05 0.02 asserted 1.00
s1 Supermassive black holes are found at the centers of most galaxies today, where their masses are related to the velocity dispersions of stars in their host galaxies and hence to the mass of the central bulge of the galaxy. background 1.00 0.06 0.03 asserted 1.00
s2 This suggests a link between the growth of the black holes and the host galaxies, which has indeed been assumed for a number of years. background 0.99 0.04 0.03 hedged possibility 0.65
s3 But the origin of the observed relation between black hole mass and stellar velocity dispersion, and its connection with the evolution of galaxies have remained unclear. gap 1.00 0.03 0.02 asserted 0.83
s4 Here we report simulations that simultaneously follow star formation and the growth of black holes during galaxy-galaxy collisions. method 0.60 0.95 0.04 asserted 0.94
s5 We find that in addition to generating a burst of star formation, a merger leads to strong inflows that feed gas to the supermassive black hole and thereby power the quasar. result 1.00 0.96 0.14 asserted 1.00
s6 The energy released by the quasar expels enough gas to quench both star formation and further black hole growth. result 0.98 0.89 0.57 asserted 1.00
s7 This determines the lifetime of the quasar phase (approaching 100 million years) and explains the relationship between the black hole mass and the stellar velocity dispersion. interpretation 0.81 0.85 0.76 asserted 1.00

What kind of paper the classifier reports this is: simulation study 1.00 · evidence from simulation or computation 1.00.

What was examined, and what was not

sources read
  • arXiv listing abstract v1
not examined
  • full text
  • figures and tables
  • references and citing sentences
  • relations to other papers
levels run
  • P abstract
not run
  • S sections
  • T body sentences
  • C citations
  • R cross-paper relations

Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

Figures
Figure 1. — Snapshots of the simulated time evolution in merger
Figure 2. — Black hole activity, star formation and black hole g
Figure 3. — The relation between the final black hole mass,

Figures reproduced from arXiv:astro-ph/0502199 by the authors.

References
How later papers used it

753 later papers cite it

Evidence: substantial. 671 of the citing papers share no author with it, and 57 of those carry a confident label from Pith's citation classifier.

Pith read 40 of the 990 citing sentences, choosing only those whose citation markers point at this paper alone, and wrote the paraphrases from them. The summary, the counts, the evidence level, the links and the quotes come from code; the summary counts the papers listed below. A later paper is listed under a label when Pith's citation classifier gives one of its sentences that label at probability 0.8 or more (0.95 for support), Pith's reading finds that the citing paper itself did it, and a second check confirms the paraphrase against the sentence. This section lists uses only. It does not list criticism or disagreement, so their absence here says nothing about how the paper has been received. Papers that share an author with this one are listed apart, under "By the same authors". A quote is the citing authors' own sentence, shown when their paper's licence is CC BY, CC BY-SA or CC0. JSON

Uses its method or tool 25 of 65 papers with this label · 19 by the same authors

By the same authors

How the literature uses it

107 arXiv papers cite this in 135 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 82 sentences without a confident label

Uses its method or tool 12 papers
Uses its data or values 1 paper
Compares with it 1 paper
Cites it as support 4 papers
Cites it as background 34 papers

Discussion

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