Gravitational Waves and Their Mathematics
Lydia Bieri, David Garfinkle, Nicolas Yunes

TL;DR
This paper provides an overview of the mathematical framework of gravitational waves, discusses their detection by aLIGO, and explores implications for astrophysics, serving as a comprehensive introduction to the subject.
Contribution
It offers a detailed explanation of the mathematics and physics of gravitational waves and reviews the significance of aLIGO's detection for astrophysics.
Findings
Explanation of gravitational wave mathematics
Discussion of aLIGO detection methods
Implications for astrophysics
Abstract
This is an overview article of the mathematics of gravitational waves. We explain the mathematics and physics of these waves in general relativity theory, discuss the gravitational wave experiment aLIGO and their detection of gravitational waves as well as its implications for astrophysics. A version of this article was published in the AMS Notices, Vol. 64, Issue 07, 2017, (August issue 2017).
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Taxonomy
TopicsCosmology and Gravitation Theories · Black Holes and Theoretical Physics · Pulsars and Gravitational Waves Research
