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Due to their compactness, General Relativity corrections must be accounted for in Maxwell\u2019s equations, leading to modified interior and exterior electromagnetic solutions. We present analytical solutions for slowly rotating magnetized neutron stars, taking into account the magnetic frame-dragging correction. For typical compactness values, i.e. Rs \u223c 0.5\u2009[R*], we show that the new terms lead to a\u00a0per cent order correction in the magnetic field orientation and strength compared to the case, with no magnetic frame-dragging correction. Also, we obtain a self-consistent redistribution of the surface azimuthal current. We verify the validity of the derived solution through two-dimensional particle-in-cell simulations of an isolated neutron star. Defining the azimuthal electric and magnetic field amplitudes during the transient phase as observables, we prove that the magnetic frame-dragging correction reduces the transient wave amplitude, as expected from the analytical solution. We show that simulations are more accurate and stable, when we include all first-order terms. The increased accuracy at lower spatiotemporal resolutions translates into a reduction in simulation runtimes.<\/jats:p>","DOI":"10.1093\/mnras\/stad2175","type":"journal-article","created":{"date-parts":[[2023,7,21]],"date-time":"2023-07-21T07:39:02Z","timestamp":1689925142000},"page":"4116-4127","source":"Crossref","is-referenced-by-count":2,"title":["Magnetic frame-dragging correction to the electromagnetic solution of a compact neutron star"],"prefix":"10.1093","volume":"524","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-9182-0228","authenticated-orcid":false,"given":"R","family":"Torres","sequence":"first","affiliation":[{"name":"GoLP\/Instituto de Plasmas e Fus\u00e3o Nuclear, Instituto Superior T\u00e9cnico, Universidade de Lisboa , 1049-001 Lisboa , Portugal"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0045-389X","authenticated-orcid":false,"given":"T","family":"Grismayer","sequence":"additional","affiliation":[{"name":"GoLP\/Instituto de Plasmas e Fus\u00e3o Nuclear, Instituto Superior T\u00e9cnico, Universidade de Lisboa , 1049-001 Lisboa , Portugal"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0761-6628","authenticated-orcid":false,"given":"F","family":"Cruz","sequence":"additional","affiliation":[{"name":"GoLP\/Instituto de Plasmas e Fus\u00e3o Nuclear, Instituto Superior T\u00e9cnico, Universidade de Lisboa , 1049-001 Lisboa , Portugal"},{"name":"Inductiva Research Labs , Rua da Prata 80, 1100-420 Lisboa , Portugal"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2906-924X","authenticated-orcid":false,"given":"L O","family":"Silva","sequence":"additional","affiliation":[{"name":"GoLP\/Instituto de Plasmas e Fus\u00e3o Nuclear, Instituto Superior T\u00e9cnico, Universidade de Lisboa , 1049-001 Lisboa , Portugal"}]}],"member":"286","published-online":{"date-parts":[[2023,7,20]]},"reference":[{"key":"2024072000014829000_bib1","doi-asserted-by":"publisher","first-page":"146","DOI":"10.1007\/BF00649960","volume":"9","author":"Anderson","year":"1970","journal-title":"Ap&SS"},{"key":"2024072000014829000_bib2","doi-asserted-by":"crossref","first-page":"37","DOI":"10.1016\/j.newast.2014.09.006","volume":"36","author":"Belyaev","year":"2015","journal-title":"New Astron."},{"key":"2024072000014829000_bib3","doi-asserted-by":"publisher","first-page":"606","DOI":"10.1093\/mnras\/stv042","volume":"448","author":"Cerutti","year":"2015","journal-title":"MNRAS"},{"key":"2024072000014829000_bib4","first-page":"1","volume":"18","author":"Deutsch","year":"1955","journal-title":"Ann. 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