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

Adamek, Julian; Barrera-Hinojosa, Cristian; Bruni, Marco; Li, Baojiu; Macpherson, Hayley J.; Mertens, James B.

doi:10.1088/1361-6382/ab939b

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

Adamek, Julian; Barrera-Hinojosa, Cristian; Bruni, Marco; Li, Baojiu; Macpherson, Hayley J.; Mertens, James B.

Authors

Julian Adamek

Cristian Guzmaro Barrera Hinojosa cristian.g.barrera@durham.ac.uk
PGR Student Doctor of Philosophy

Marco Bruni

Professor Baojiu Li baojiu.li@durham.ac.uk
Professor

Hayley J. Macpherson

James B. Mertens

Abstract

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.

Citation

Adamek, J., Barrera-Hinojosa, C., Bruni, M., Li, B., Macpherson, H. J., & Mertens, J. B. (2020). Numerical solutions to Einstein’s equations in a shearing-dust universe: a code comparison. Classical and Quantum Gravity, 37(15), Article 154001. https://doi.org/10.1088/1361-6382/ab939b

Journal Article Type	Article
Acceptance Date	May 15, 2020
Online Publication Date	Jul 10, 2020
Publication Date	2020-08
Deposit Date	Aug 12, 2020
Publicly Available Date	Aug 12, 2020
Journal	Classical and Quantum Gravity
Print ISSN	0264-9381
Electronic ISSN	1361-6382
Publisher	IOP Publishing
Peer Reviewed	Peer Reviewed
Volume	37
Issue	15
Article Number	154001
DOI	https://doi.org/10.1088/1361-6382/ab939b

Files

Published Journal Article (1.6 Mb)
PDF

Publisher Licence URL
http://creativecommons.org/licenses/by/4.0/

Copyright 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.