Blandford-Znajek process in vacuo and its holographic dual

Abstract

Blandford and Znajek discovered a process by which a spinning black hole can transfer rotational energy to a plasma, offering a mechanism for energy and jet emissions from quasars. Here we describe a version of this mechanism that operates with only vacuum electromagnetic fields outside the black hole. The setting, which is not astrophysically realistic, involves either a cylindrical black hole or one that lives in 2+1 spacetime dimensions, and the field is given in simple, closed form for a wide class of metrics. For asymptotically Anti-de Sitter black holes in 2+1 dimensions the holographic dual of this mechanism is the transfer of angular momentum and energy, via a resistive coupling, from a rotating thermal state containing an electric field to an external charge density rotating more slowly than the thermal state. In particular, the entropy increase of the thermal state due to Joule heating matches the Bekenstein-Hawking entropy increase of the black hole.

6 pages; v2: improved presentation, more explanation and two figures added, 8 pages

References in corpus (8)

• Boundary Conditions and Dualities: Vector Fields in AdS/CFT
• "Meissner effect" and Blandford-Znajek mechanism in conductive black hole magnetospheres
• Black Hole Magnetospheres
• Chiral anomalies and AdS/CMT in two dimensions
• One-dimensional holographic superconductor from AdS_3/CFT_2 correspondence
• Electromagnetic Jets from Stars and Black Holes
• Holographic Entropy Production
• Kerr-AdS Black Holes and Force-Free Magnetospheres

Cited by in corpus (6)

• Blandford-Znajek jets in MOdified Gravity
• Backreaction of Mass and Angular Momentum Accretion on Black Holes: General Formulation of the Metric Perturbations and Application to the Blandford-Znajek Process
• Blandford-Znajek process as Alfvénic superradiance
• Signatures of Extra Dimensions in Black Hole Jets
• One-dimensional force-free numerical simulations of Alfven waves around a spinning black string
• Alfvénic superradiance for a monopole magnetosphere around a Kerr black hole