{"paper":{"title":"Black Hole Enthalpy and an Entropy Inequality for the Thermodynamic Volume","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"C.N. Pope, D. Kubiznak, G.W. Gibbons, M. Cvetic","submitted_at":"2010-12-13T21:40:12Z","abstract_excerpt":"In a theory where the cosmological constant $\\Lambda$ or the gauge coupling constant $g$ arises as the vacuum expectation value, its variation should be included in the first law of thermodynamics for black holes. This becomes $dE= TdS + \\Omega_i dJ_i + \\Phi_\\alpha d Q_\\alpha + \\Theta d \\Lambda$, where $E$ is now the enthalpy of the spacetime, and $\\Theta$, the thermodynamic conjugate of $\\Lambda$, is proportional to an effective volume $V = -\\frac{16 \\pi \\Theta}{D-2}$ \"inside the event horizon.\" Here we calculate $\\Theta$ and $V$ for a wide variety of $D$-dimensional charged rotating asymptot"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1012.2888","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"}