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Phys."],"published-print":{"date-parts":[[2022,7,1]]},"abstract":"<jats:title>Abstract<\/jats:title>\n               <jats:p>The Blandford and Znajek (BZ) split-monopole serves as an important theoretical example of the mechanism that can drive the electromagnetic extraction of energy from Kerr black holes. It is constructed as a perturbative low spin solution of Force Free Electrodynamics (FFE). Recently, Armas\u00a0et al.\u00a0put this construction on a firmer footing by clearing up issues with apparent divergent asymptotics. This was accomplished by resolving the behavior around the outer light surface, a critical surface of the FFE equations.\nBuilding on this, we revisit the BZ perturbative expansion, and extend the perturbative approach to higher orders in the spin parameter of the Kerr black hole.\nWe employ matched-asymptotic-expansions and semi-analytic techniques to extend the split-monopole solution to the sixth-order in perturbation theory. The expansion necessarily includes novel logarithmic contributions in the spin parameter.\nWe show that these higher order terms result in non-analytic contributions to the power and angular momentum output. In particular, we compute for the first time the perturbative contributions to the energy extraction at seventh- and eighth-order in the spin parameter.\nThe resulting formula for the energy extraction\nimproves the agreement with numerical simulations at finite spin.\nMoreover, we present a novel numerical procedure for resolving the FFE equations across the outer light surface, resulting in significantly faster convergence and greater accuracy, and extend this to higher orders as well.\nFinally, we include a general discussion of light surfaces as critical surfaces of the FFE equations.<\/jats:p>","DOI":"10.1088\/1475-7516\/2022\/07\/032","type":"journal-article","created":{"date-parts":[[2022,7,19]],"date-time":"2022-07-19T12:28:33Z","timestamp":1658233713000},"page":"032","update-policy":"https:\/\/doi.org\/10.1088\/crossmark-policy","source":"Crossref","is-referenced-by-count":25,"title":["Blandford-Znajek monopole expansion revisited: novel non-analytic contributions to the power emission"],"prefix":"10.1088","volume":"2022","author":[{"given":"Filippo","family":"Camilloni","sequence":"first","affiliation":[]},{"given":"Oscar J.C.","family":"Dias","sequence":"additional","affiliation":[]},{"given":"Gianluca","family":"Grignani","sequence":"additional","affiliation":[]},{"given":"Troels","family":"Harmark","sequence":"additional","affiliation":[]},{"given":"Roberto","family":"Oliveri","sequence":"additional","affiliation":[]},{"given":"Marta","family":"Orselli","sequence":"additional","affiliation":[]},{"given":"Andrea","family":"Placidi","sequence":"additional","affiliation":[]},{"given":"Jorge E.","family":"Santos","sequence":"additional","affiliation":[]}],"member":"266","published-online":{"date-parts":[[2022,7,19]]},"reference":[{"key":"b72d869ff637a8efb4977b8109a467c82","doi-asserted-by":"publisher","first-page":"433","DOI":"10.1093\/mnras\/179.3.433","article-title":"Electromagnetic extractions of energy from Kerr black holes","volume":"179","author":"Blandford","year":"1977","journal-title":"Mon. 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