{"paper":{"title":"Boundedness of massless scalar waves on Reissner-Nordstr\\\"om interior backgrounds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.AP","math.MP"],"primary_cat":"gr-qc","authors_text":"Anne Franzen","submitted_at":"2014-07-26T03:50:30Z","abstract_excerpt":"We consider solutions of the scalar wave equation $\\Box_g\\phi=0$, without symmetry, on fixed subextremal Reissner-Nordstr\\\"om backgrounds $({\\mathcal M}, g)$ with nonvanishing charge. Previously, it has been shown that for $\\phi$ arising from sufficiently regular data on a two ended Cauchy hypersurface, the solution and its derivatives decay suitably fast on the event horizon ${\\mathcal H}^+$. Using this, we show here that $\\phi$ is in fact uniformly bounded, $|\\phi| \\leq C$, in the black hole interior up to and including the bifurcate Cauchy horizon ${\\mathcal C}{\\mathcal H}^+$, to which $\\ph"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.7093","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}