Kerr black hole in presence of force-free magnetic field

General Relativity and Quantum Cosmology [Submitted on 31 Oct 2023 (v1), last revised 15 Jun 2026 (this version, v2)] Title:Kerr black hole in presence of force-free magnetic field View PDF HTML (experimental)Abstract:We extend the study of force-free magnetospheres from non-rotating to rotating black holes \cite{Sheikhahmadi} and investigate the influence of a force-free magnetic field on the geometry around a Kerr black hole. Using the Newman-Penrose formalism, we explicitly construct the electromagnetic field strength tensor in the Kerr background and compute the corresponding stress-energy tensor. The resulting metric perturbation is then obtained by solving the linearised Einstein equations. In this modified geometry, we analyse key observables of thin accretion disks, including the innermost stable circular orbit (ISCO), effective potential, energy flux, temperature, and efficiency parameter. Our results demonstrate that magnetic backreaction significantly alters the spacetime near the black hole, with important consequences for accretion physics and jet-launching mechanisms such as the Blandford-Znajek process. This work underlines the essential role of magnetic fields in shaping relativistic astrophysical environments. Submission history From: Haidar Sheikhahmadi [view email][v1] Tue, 31 Oct 2023 15:14:53 UTC (61 KB) [v2] Mon, 15 Jun 2026 21:43:42 UTC (929 KB) Current browse context: gr-qc References & Citations Loading... Bibliographic and Citation Tools Bibliographic Explorer (What is the Explorer?) Connected Papers (What is Connected Papers?) Litmaps (What is Litmaps?) scite Smart Citations (What are Smart Citations?) Code, Data and Media Associated with this Article alphaXiv (What is alphaXiv?) CatalyzeX Code Finder for Papers (What is CatalyzeX?) DagsHub (What is DagsHub?) Gotit.pub (What is GotitPub?) Hugging Face (What is Huggingface?) ScienceCast (What is ScienceCast?) Demos Recommenders and Search Tools Influence Flower (What are Influence Flowers?) CORE Recommender (What is CORE?) IArxiv Recommender (What is IArxiv?) arXivLabs: experimental projects with community collaborators arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website. Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them. Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs.