{"paper":{"title":"Holography, The Second Law and a C-Function in Higher Curvature Gravity","license":"","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Daniel Cremades, Ernesto Lozano-Tellechea","submitted_at":"2006-08-24T19:08:27Z","abstract_excerpt":"We analyze the Second Law of black hole mechanics and the generalization of the holographic bound for general theories of gravity. We argue that both the possibility of defining a holographic bound and the existence of a Second Law seem to imply each other via the existence of a certain \"c-function\" (i.e. a never-decreasing function along outgoing null geodesic flow). We are able to define such a \"c-function\", that we call \\tilde{C}, for general theories of gravity. It has the nontrivial property of being well defined on general spacelike surfaces, rather than just on a spatial cross-section o"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0608174","kind":"arxiv","version":4},"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"}