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Numerical solutions to Einstein’s equations in a shearing-dust universe : a code comparison.

Adamek, Julian and Barrera-Hinojosa, Cristian and Bruni, Marco and Li, Baojiu and Macpherson, Hayley J. and Mertens, James B. (2020) 'Numerical solutions to Einstein’s equations in a shearing-dust universe : a code comparison.', Classical and quantum gravity., 37 (15). p. 154001.


A number of codes for general-relativistic simulations of cosmological structure formation have been developed in recent years. Here we demonstrate that a sample of these codes produce consistent results beyond the Newtonian regime. We simulate solutions to Einstein's equations dominated by gravitomagnetism—a vector-type gravitational field that does not exist in Newtonian gravity and produces frame-dragging, the leading-order post-Newtonian effect. We calculate the coordinate-invariant effect on intersecting null geodesics by performing ray tracing in each independent code. With this observable quantity, we assess and compare each code's ability to compute relativistic effects.

Item Type:Article
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Publisher statement:Original content from this work may be used under the terms of the Creative Commons Attribution 4.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.
Date accepted:15 May 2020
Date deposited:12 August 2020
Date of first online publication:10 July 2020
Date first made open access:12 August 2020

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