Discrete geometry of a small causal diamond

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

Title:	Discrete geometry of a small causal diamond
Authors:	Roy, Mriganko Sinha, Debdeep Surya, Sumati
Issue Date:	Feb-2013
Publisher:	American Physical Society
Citation:	Physical Review D, 2013, Vol.87, p 044046
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.
Description:	Open Access.
URI:	http://hdl.handle.net/2289/5560
ISSN:	1550-7998 1550-2368(Online)
Alternative Location:	http://arxiv.org/abs/1212.0631 http://dx.doi.org/10.1103/PhysRevD.87.044046 http://adsabs.harvard.edu/abs/2013PhRvD..87d4046R
Copyright:	2013 American Physical Society
Appears in Collections:	Research Papers (TP)

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