Universality of the future chronological boundary | Zendy

Steven G. Harris | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Universality of the future chronological boundary

Author(s) -

Steven G. Harris

Publication year - 1998

Publication title -

journal of mathematical physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.708

H-Index - 119

eISSN - 1089-7658

pISSN - 0022-2488

DOI - 10.1063/1.532582

Subject(s) - universality (dynamical systems) , causality (physics) , boundary (topology) , mathematics , sort , causal sets , causal structure , spacetime , categorical variable , pure mathematics , mathematical analysis , physics , statistics , arithmetic , quantum field theory in curved spacetime , quantum mechanics , quantum gravity , quantum

The purpose of this note is to establish, in a categorical manner, theuniversality of the Geroch-Kronheimer-Penrose causal boundary when consideringthe types of causal structures that may profitably be put on any sort ofboundary for a spacetime. Actually, this can only be done for the future causalboundary (or the past causal boundary) separately; furthermore, only thechronology relation, not the causality relation, is considered, and the GKPtopology is eschewed. The final result is that there is a unique map, with theproper causal properties, from the future causal boundary of a spacetime ontoany ``reasonable" boundary which supports some sort of chronological structureand which purports to consist of a future completion of the spacetime.Furthermore, the future causal boundary construction is categorically unique inthis regard.Comment: 25 pages, AMS-TeX; 2 figures, PostScript (separate); captions (separate); submitted to Class. Quantum Grav, slight revision: bottom lines legible, figures added, expanded discussion and example

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research