Constraints on the cosmological coupling of black holes from Gaia

Recent work has suggested that black holes (BHs) could be cosmologically coupled to the accelerated expansion of the universe, potentially becoming a candidate for dark energy. This would imply BH mass growth following the cosmological expansion, with the masses of individual BHs growing as $M_{\rm BH}\propto (1+z)^3$. In this letter, we discuss the binary systems Gaia BH1 and Gaia BH2, which contain $\sim 9\,M_{\odot}$ BHs orbited by $\sim 1\,M_{\odot}$ stars in widely-separated orbits. The ages of both systems can be constrained by the properties of the luminous stars. If BH masses are indeed growing as $(1+z)^3$, the masses of both BHs at formation would have been significantly smaller than today. We find a 77% probability that the mass of the BH in Gaia BH2 would have been below $2.2M_\odot$ at formation. This is below the classical Tolman-Oppenheimer-Volkov limit, though it is not yet clear if BHs subject to cosmological coupling should obey this limit. For Gaia BH1, the same probability is 70%. This analysis is consistent with results from two BHs in the globular cluster NGC3201, but unlike the NGC3201 BHs, the Gaia BHs have well-constrained inclinations and thus firm upper mass limits. The discovery of more BHs in binary systems with Gaia astrometry in the coming years will allow us to test the cosmological coupling hypothesis decisively.Comment: submitted 8th March 2023; accepted 2nd May 2023; 4 pages, 3 figure

Imprints of white dwarf recoil in the separation distribution of Gaia wide binaries

We construct from Gaia DR2 an extensive and very pure ($\lesssim 0.2\%$ contamination) catalog of wide binaries containing main-sequence (MS) and white dwarf (WD) components within 200 pc of the Sun. The public catalog contains, after removal of clusters and resolved higher-order multiples, $>$50,000 MS/MS, $>$3,000 WD/MS, and nearly 400 WD/WD binaries with projected separations of $50 \lesssim s/{\rm AU} < 50,000$. Accounting for incompleteness and selection effects, we model the separation distribution of each class of binaries as a broken power-law, revealing marked differences between the three populations. The separation distribution of MS/MS systems is nearly consistent with a single power-law of slope $-1.6$ over at least $500 < s/{\rm AU} < 50,000$, with marginal steepening at $s > 10,000$ AU. In contrast, the separation distributions of WD/MS and WD/WD binaries show distinct breaks at $\sim$ 3,000 AU and $\sim$1,500 AU, respectively: they are flatter than the MS/MS distribution at small separations and steeper at large separations. Using binary population synthesis models, we show that these breaks are unlikely to be caused by external factors but can be explained if the WDs incur a kick of $\sim$ 0.75 km s$^{-1}$ during their formation, presumably due to asymmetric mass loss. The data rule out typical kick velocities above 2km s$^{-1}$. Our results imply that most wide binaries with separations exceeding a few thousand AU become unbound during post-MS evolution.Comment: Accepted to MNRAS. 15 pages, 11 figures, plus appendices. Catalog available at https://sites.google.com/site/dr2binaries200pc/dat

No X-Rays or Radio from the Nearest Black Holes and Implications for Future Searches

Astrometry from the Gaia mission was recently used to discover the two nearest known stellar-mass black holes (BHs), Gaia BH1 and Gaia BH2. Both systems contain $\sim 1\,M_{\odot}$ stars in wide orbits ($a\approx$1.4 AU, 4.96 AU) around $\sim9\,M_{\odot}$ BHs. These objects are among the first stellar-mass BHs not discovered via X-rays or gravitational waves. The companion stars -- a solar-type main sequence star in Gaia BH1 and a low-luminosity red giant in Gaia BH2 -- are well within their Roche lobes. However, the BHs are still expected to accrete stellar winds, leading to potentially detectable X-ray or radio emission. Here, we report observations of both systems with the Chandra X-ray Observatory and radio observations with the Very Large Array (for Gaia BH1) and MeerKAT (for Gaia BH2). We did not detect either system, leading to X-ray upper limits of $L_X < 10^{29.4}$ and $L_X < 10^{30.1}\,\rm erg\,s^{-1}$ and radio upper limits of $L_r < 10^{25.2}$ and $L_r < 10^{25.9}\,\rm erg\,s^{-1}$. For Gaia BH2, the non-detection implies that the the accretion rate near the horizon is much lower than the Bondi rate, consistent with recent models for hot accretion flows. We discuss implications of these non-detections for broader BH searches, concluding that it is unlikely that isolated BHs will be detected via ISM accretion in the near future. We also calculate evolutionary models for the binaries' future evolution using Modules for Experiments in Stellar Astrophysics (MESA). We find that Gaia BH1 will be X-ray bright for 5--50 Myr when the star is a red giant, including 5 Myr of stable Roche lobe overflow. Since no symbiotic BH X-ray binaries are known, this implies either that fewer than $\sim 10^4$ Gaia BH1-like binaries exist in the Milky Way, or that they are common but have evaded detection, perhaps due to very long outburst recurrence timescales.Comment: Submitted to PAS