Discrete geometry of a small causal diamond

Please use this identifier to cite or link to this item: http://hdl.handle.net/2289/5560

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DC Field	Value	Language
dc.contributor.author	Roy, Mriganko	-
dc.contributor.author	Sinha, Debdeep	-
dc.contributor.author	Surya, Sumati	-
dc.date.accessioned	2013-04-24T12:07:18Z	-
dc.date.available	2013-04-24T12:07:18Z	-
dc.date.issued	2013-02	-
dc.identifier.citation	Physical Review D, 2013, Vol.87, p 044046	en
dc.identifier.issn	1550-7998	-
dc.identifier.issn	1550-2368(Online)	-
dc.identifier.uri	http://hdl.handle.net/2289/5560	-
dc.description	Open Access.	en
dc.description.abstract	We study the discrete causal set geometry of a small causal diamond in a curved spacetime using the average abundance hCki of k-element chains or total orders in the underlying causal set C. We begin by obtaining the first-order curvature corrections to the flat spacetime expression for hCki using Riemann normal coordinates. For fixed spacetime dimension this allows us to find a new expression for the discrete scalar curvature of C as well as the time-time component of its Ricci tensor in terms of the hCki. We also find a new dimension estimator for C which replaces the flat spacetime Myrheim-Meyer estimator in generic curved spacetimes.	en
dc.language.iso	en	en
dc.publisher	American Physical Society	en
dc.relation.uri	http://arxiv.org/abs/1212.0631	en
dc.relation.uri	http://dx.doi.org/10.1103/PhysRevD.87.044046	en
dc.relation.uri	http://adsabs.harvard.edu/abs/2013PhRvD..87d4046R	en
dc.rights	2013 American Physical Society	en
dc.title	Discrete geometry of a small causal diamond	en
dc.type	Article	en
Appears in Collections:	Research Papers (TP)

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