Numerical solutions to Einstein's equations in a shearingdust universe: a code comparison
Abstract
A number of codes for generalrelativistic 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 vectortype gravitational field that does not exist in Newtonian gravity and produces framedragging, the leadingorder postNewtonian effect. We calculate the coordinateinvariant 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.
 Publication:

Classical and Quantum Gravity
 Pub Date:
 August 2020
 DOI:
 10.1088/13616382/ab939b
 arXiv:
 arXiv:2003.08014
 Bibcode:
 2020CQGra..37o4001A
 Keywords:

 general relativity;
 cosmology;
 framedragging;
 gravitomagnetism;
 numerical relativity;
 Astrophysics  Cosmology and Nongalactic Astrophysics;
 General Relativity and Quantum Cosmology
 EPrint:
 14 pages, 5 figures, accepted to CQG