Evidence for Low Universal Equilibrium Black Hole Spin in Luminous Magnetically Arrested Disks

Relativistic collimated outflows, or jets, provide a crucial mode of active galactic nucleus feedback. Although the jets extract their energy from the black hole (BH) rotation, their effect on the BH spin is poorly understood. Because the spin controls radiative and mechanical BH feedback, lack of first-principles models for BH spin evolution limits our ability to interpret observations, including the recent LIGO-Virgo-KAGRA spin constraints. Particularly important are luminous disks, which rapidly grow and strongly torque their BHs. Jet-less and weakly magnetized standard luminous disks spin-up their BHs to near-maximum dimensionless spin, aeq,NT=0.998. However, sufficient large-scale vertical magnetic flux can cause the inner disk to enter a magnetically arrested disk (MAD) state, whose jets can efficiently extract BH rotational energy and significantly spin-down the BH. Indeed, Lowell et al. 2024 found that non-radiative MADs spin-down their BHs to very low aₑq,MADⁿr=0.07. Moreover, their analytic model predicted that luminous MADs also spin-down their BHs to low aeq,MADˡᵘᵐ~0.3-0.5. To test this prediction, we perform 3D general relativistic (radiation) magnetohydrodynamic (GR(R)MHD) simulations of MADs across a wide range of BH spin (-0.9≤a≤0.99) and disk dimensionless thickness (0.03≤h/r≤0.3, which corresponds to Eddington ratio, 0.35≤ṁ/ṁEdd≤∞). We find that luminous MADs spin-down their BHs to a low universal equilibrium spin value, aeq,MADˡᵘᵐ0.3 for 0.03≤h/r≤0.1. Moreover, we find evidence for quadratic convergence, aeq,MAD0.31-2.71(h/r)²→0.31 as h/r→0. We attribute this to disk thermodynamics becoming irrelevant as the cooling becomes more aggressive and magnetic forces start to dominate. We finish by discussing the astrophysical implications.