{"paper":{"title":"The Geometry of Large Causal Diamonds and the No Hair Property of Asymptotically de-Sitter Spacetimes","license":"","headline":"","cross_cats":["astro-ph","gr-qc","math.DG"],"primary_cat":"hep-th","authors_text":"G. W. Gibbons, S. N. Solodukhin","submitted_at":"2007-06-05T08:52:14Z","abstract_excerpt":"In a previous paper we obtained formulae for the volume of a causal diamond or Alexandrov open set $I^+(p) \\cap I^-(q)$ whose duration $\\tau(p,q) $ is short compared with the curvature scale. In the present paper we obtain asymptotic formulae valid when the point $q$ recedes to the future boundary ${\\cal I}^+$ of an asymptotically de-Sitter spacetime. The volume (at fixed $\\tau$) remains finite in this limit and is given by the universal formula $V(\\tau) = {4\\over 3}\\pi (2\\ln \\cosh{\\tau\\over 2}-\\tanh^2{\\tau\\over 2})$ plus corrections (given by a series in $e^{-t_q}$) which begin at order $e^{-"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0706.0603","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/0706.0603/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"}