From rotating attractors to extremal black holes with axionic hair

Abstract

We study extremal, rotating black holes in four-dimensional Einstein-Maxwell-axion (EMA) theory through a combined near-horizon and bulk analysis. At the level of the near-horizon extremal geometry (NHEG), using the entropy function formalism, we prove that regular rotating attractors with axionic hair exist only for configurations that are purely electrically or purely magnetically charged; regular rotating dyonic attractors are excluded by the axion equation of motion, a result that we established perturbatively and non-perturbatively within the NHEG system. On the global side, we construct families of asymptotically flat, rotating extremal EMA black holes that interpolate to the electric NHEG branch, confirming that horizon data are fixed by extremization of the entropy function and decoupled from asymptotic moduli in line with the attractor mechanism.

29 pages, 5 figures. Published version

References in corpus (15)

• Near-horizon symmetries of extremal black holes
• Stationary black holes and attractor mechanism
• Extremal Kerr black holes as amplifiers of new physics
• Note on the First Law with p-form potentials
• Almost all extremal black holes in AdS are singular
• On scalar charges and black-hole thermodynamics
• Magnetic charges and Wald entropy
• Spinning Black Holes with Axion Hair
• A classification (uniqueness) theorem for rotating black holes in 4D Einstein-Maxwell-dilaton theory
• Gauge Invariant Derivation of Zeroth and First Laws of Black Hole Thermodynamics
• Generalizations and challenges for the spacetime block-diagonalization
• Axion-like dark matter clouds around rotating black holes
• Charged, rotating black holes in Einstein-Maxwell-dilaton theory
• Greybody factors of charged black holes with axion hair
• Spinning extremal dyonic black holes in $\gamma =1$ Einstein-Maxwell-dilaton theory