{"paper":{"title":"New Exact Spherically Symmetric Solutions in $f(R,\\phi,X)$ gravity by Noether's symmetry approach","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO"],"primary_cat":"gr-qc","authors_text":"Kazuharu Bamba, Sebastian Bahamonde, Ugur Camci","submitted_at":"2018-08-13T16:42:34Z","abstract_excerpt":"The exact solutions of spherically symmetric space-times are explored by using Noether symmetries in $f(R,\\phi,X)$ gravity with $R$ the scalar curvature, $\\phi$ a scalar field and $X$ the kinetic term of $\\phi$. Some of these solutions can represent new black holes solutions in this extended theory of gravity. The classical Noether approach is particularly applied to acquire the Noether symmetry in $f(R,\\phi,X)$ gravity. Under the classical Noether theorem, it is shown that the Noether symmetry in $f(R,\\phi,X)$ gravity yields the solvable first integral of motion. With the conservation relatio"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.04328","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"}