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We present cosmological magnetohydrodynamic simulations of the formation of agalaxy cluster with magnetic energy feedback from an active galactic nuclei(AGN). We demonstrate that X-ray cavities can be produced by the magneticallydominated jet-lobe system that is supported by a central axial current. Thecavities are magnetically dominated and their morphology is determinedjointedly by the magnetic fields and the background cluster pressure profile.The expansion and motion of the cavities are driven initially by the Lorentzforce of the magnetic fields, and the cavities only become buoyant at latestages ($> 500$ Myr). We find that up to $80%-90%$ of the injected magneticenergy goes into doing work against the hot cluster medium, heating it, andlifting it in the cluster potential.

Formation of X-Ray Cavities by the Magnetically Dominated Jet-Lobe System in a Galaxy Cluster