Energy Extraction via Magnetic Reconnection in a Rotating Black Hole

Relativistic reconnection is a very efficient mechanism of magnetic energy conversion and particle acceleration, thus a primary candidate to explain nonthermal emissions from pulsar wind nebulae, gamma-ray bursts, and active galactic nuclei. Recent studies have shown magnetic reconnection as a viable mechanism for energy extraction in Kerr and Kerr-de Sitter black holes. Here, we build the mathematical framework to extend the relativistic magnetohydrodynamics of general relativity to matter in negatively curved spacetime. In particular, we highlight the effects of the cosmological constant (Λ) and its role in energy extraction via magnetic reconnection. We examine the analytical results of the efficiency of the energy extracted via magnetic reconnection.