{"paper":{"title":"Static electromagnetic Love tensors of 5-dimensional Myers-Perry black holes","license":"http://creativecommons.org/licenses/by/4.0/","headline":"Mode mixing occurs in the static electromagnetic Love tensors of five-dimensional Myers-Perry black holes","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Boyang Yu","submitted_at":"2026-05-16T03:54:11Z","abstract_excerpt":"We study the separable master equations for the electromagnetic and gravitational perturbations in five-dimensional Myers-Perry black holes. In the static limit, while the master equation for the electric polarization of the Maxwell field reduces to that of a massless scalar field, the magnetic polarization and gravitational perturbation yield Heun equations for both its angular and radial components. Remarkably, these Heun equations fall into a special class that admits exact analytic solutions in terms of hypergeometric functions. We reconstruct the gauge field using master fields and study "},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"When expanding the result in the basis of modified spherical harmonics, we find modes with higher angular momentum arise in response to the excitation of sources with lower angular momentum. The static tidal Love tensor that characterizes such mixing structure of the response can be computed iteratively.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The master equations for electromagnetic and gravitational perturbations remain separable in the static limit for five-dimensional Myers-Perry black holes, allowing reduction to Heun equations that admit exact hypergeometric solutions (abstract and implied in the study of separable master equations).","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"Derives exact hypergeometric solutions for static perturbations of 5D Myers-Perry black holes and iteratively computes electromagnetic Love tensors showing lower-to-higher angular momentum mode mixing in the response.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"Mode mixing occurs in the static electromagnetic Love tensors of five-dimensional Myers-Perry black holes","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"3c1af5c4e733ae038bb78d0f3eaa76b283ab3a70b13b89fa7c48a71e2a289e48"},"source":{"id":"2605.16792","kind":"arxiv","version":1},"verdict":{"id":"8b5ae5db-362e-4bf4-a23c-3986240b9e8b","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-19T21:14:42.934550Z","strongest_claim":"When expanding the result in the basis of modified spherical harmonics, we find modes with higher angular momentum arise in response to the excitation of sources with lower angular momentum. The static tidal Love tensor that characterizes such mixing structure of the response can be computed iteratively.","one_line_summary":"Derives exact hypergeometric solutions for static perturbations of 5D Myers-Perry black holes and iteratively computes electromagnetic Love tensors showing lower-to-higher angular momentum mode mixing in the response.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The master equations for electromagnetic and gravitational perturbations remain separable in the static limit for five-dimensional Myers-Perry black holes, allowing reduction to Heun equations that admit exact hypergeometric solutions (abstract and implied in the study of separable master equations).","pith_extraction_headline":"Mode mixing occurs in the static electromagnetic Love tensors of five-dimensional Myers-Perry black holes"},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2605.16792/integrity.json","findings":[],"available":true,"detectors_run":[{"name":"doi_title_agreement","ran_at":"2026-05-19T21:31:19.326940Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"doi_compliance","ran_at":"2026-05-19T21:21:18.929448Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"claim_evidence","ran_at":"2026-05-19T19:01:56.293992Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"ai_meta_artifact","ran_at":"2026-05-19T18:33:26.430001Z","status":"skipped","version":"1.0.0","findings_count":0}],"snapshot_sha256":"32b591cbde799e883245d26d9d879bd46dc7ce27fca142db43a468abfe3ff8d1"},"references":{"count":46,"sample":[{"doi":"","year":1909,"title":"Love,The yielding of the earth to disturbing forces,Proc","work_id":"bd1c73e7-09da-46bb-ae45-2a7acedc7045","ref_index":1,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2009,"title":"Relativistic theory of tidal Love numbers","work_id":"776fcf9f-6d8e-43c0-baab-d3a028295f14","ref_index":2,"cited_arxiv_id":"0906.1366","is_internal_anchor":true},{"doi":"","year":2009,"title":"Relativistic tidal properties of neutron stars","work_id":"3810b56f-d8fe-41ce-821e-cb0138a10a47","ref_index":3,"cited_arxiv_id":"0906.0096","is_internal_anchor":true},{"doi":"","year":2021,"title":"W.D. Goldberger, J. Li and I.Z. Rothstein,Non-conservative effects on spinning black holes from world-line effective field theory,JHEP06(2021) 053 [2012.14869]","work_id":"49565b40-b20d-4ee5-9d2e-f8081540ee4e","ref_index":4,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2021,"title":"Hidden Symmetry of Vanishing Love Numbers","work_id":"009d9fbd-61dc-4553-bfc3-a394f5f1f929","ref_index":5,"cited_arxiv_id":"","is_internal_anchor":false}],"resolved_work":46,"snapshot_sha256":"a20c242d8b388b6b34e415e505a999bd05824ca36dc7d116483d4731ec9aa16e","internal_anchors":23},"formal_canon":{"evidence_count":2,"snapshot_sha256":"20e8179c6f96bef403402b7e54cd5046745dda36eacb0b5c33b6843d87733e94"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}