Observing boson stars in binary systems: The case of Gaia BH1

The Gaia experiment recently reported the observation of a binary system composed of a Sun-like star orbiting a dark compact object, known as Gaia BH1. The nature of the compact object remains uncertain. While the Gaia mission identifies it as a black hole candidate, the absence of X-ray or radio detections challenges that interpretation, and alternative exotic compact objects such as boson stars have also been suggested. In this paper, we study whether a boson star could account for the observed properties of the source. To do so we compute the X-ray luminosity of the central dark object as a result of spherically symmetric (Bondi-Michel) accretion of matter, comparing our results for the cases in which the dark object is a Schwarzschild black hole or a non rotating boson star. Our model incorporates realistic interstellar medium properties, ranging from hot ionized gas to dense molecular clouds. By solving the governing equations numerically, we calculate mass accretion rates and derive the resulting Bremsstrahlung X-ray luminosities. Black holes and boson stars fundamentally differ by the absence of an event horizon in the latter, which directly impacts accretion dynamics as there is an accumulation of mass in regions closer to the boson star, which will significantly change the observed X-ray emission. For the Gaia BH1 system we find that accretion onto a black hole yields luminosities of $\sim10^{27} \ \text{erg}\, \text{cm}^{-2}\, \text{s}^{-1}$ which corresponds to an X-ray flux undetectable by Chandra sensitivity. On the other hand, boson star accretion can produce observable luminosities in the order of $10^{27} \ \text{to} \ 10^{41} \ \text{erg}\, \text{cm}^{-2}\, \text{s}^{-1}$.