Non-linear general relativistic effects in the observed redshift
General Relativity and Quantum Cosmology
2018-09-26 v2 Cosmology and Nongalactic Astrophysics
Abstract
We present the second-order expression for the observed redshift, accounting for all the relativistic effects from the light propagation and from the frame change at the observer and the source positions. We derive the generic gauge-transformation law that any observable quantities should satisfy, and we verify our second-order expression for the observed redshift by explicitly checking its gauge transformation property. This is the first time an explicit verification is made for the second-order calculations of observable quantities. We present our results in popular gauge choices for easy use and discuss the origin of disagreements in previous calculations.
Cite
@article{arxiv.1805.05959,
title = {Non-linear general relativistic effects in the observed redshift},
author = {Giuseppe Fanizza and Jaiyul Yoo and Sang Gyu Biern},
journal= {arXiv preprint arXiv:1805.05959},
year = {2018}
}
Comments
44 pages, 1 figure, Version published in JCAP