Year: 2025
Type: article
Abstract: In the context of AdS/CFT duality, we study semiclassical stationary rotating AdS black holes with nontrivial quantum hair in three and five dimensions. We construct these solutions by perturbing the Bañados-Teitelboim-Zanelli (BTZ) black hole and the five-dimensional Myers-Perry AdS black hole according to holographic semiclassical equations. In the three-dimensional case, the vacuum expectation value of the stress-energy tensor diverges as ∼ 1 / λ n ( n = 1 , 2) along a radial null geodesic as the affine parameter λ approaches zero at the Cauchy horizon, depending on the type of perturbation. In the five-dimensional case, most hairy solutions exhibit strong divergences, either in the stress-energy tensor or in the parallelly propagated Riemann components, along the radial null geodesic crossing the Cauchy horizon. Nevertheless, there exists a specific class of semiclassical solutions that retain a C 0 -regular Cauchy horizon, where perturbations remain bounded. For extremal black holes, the vacuum expectation value of the stress-energy tensor diverges along a radial null geodesic transverse to the event horizon in both three and five dimensions, even though all components of the perturbed metric vanish in this limit.
Authors: Ryusei Hamaki, Kengo Maeda
Institution: Shibaura Institute of Technology
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: hybrid
OpenAlex ID: W4409234279