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The null coordinates allow one to immediately extend some results previously proven for Kerr. As an example, we illustrate how Sbierski\u2019s result in (On the initial value problem in general relativity and wave propagation in black-hole spacetimes. Doctoral thesis, 2014. https:\/\/doi.org\/10.17863\/CAM.16140<\/jats:ext-link>), for the wave equation on the black hole interior, for Reissner\u2013Nordstr\u00f6m and Kerr spacetimes, applies to Kerr\u2013Newman\u2013de Sitter spacetimes.<\/jats:p>","DOI":"10.1007\/s40863-024-00421-y","type":"journal-article","created":{"date-parts":[[2024,6,26]],"date-time":"2024-06-26T19:20:43Z","timestamp":1719429643000},"page":"889-974","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Regularity of a double null coordinate system for Kerr\u2013Newman\u2013de Sitter spacetimes"],"prefix":"10.1007","volume":"18","author":[{"given":"Anne T.","family":"Franzen","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6799-9478","authenticated-orcid":false,"given":"Pedro M.","family":"Gir\u00e3o","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2024,6,26]]},"reference":[{"issue":"8","key":"421_CR1","doi-asserted-by":"publisher","DOI":"10.1088\/0264-9381\/28\/8\/085012","volume":"28","author":"S Akcay","year":"2011","unstructured":"Akcay, S., Matzner, R.A.: The Kerr-de Sitter universe. 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