Report on GRG18, Session A3, Mathematical Studies of the Field Equations
Lars Andersson

TL;DR
This report summarizes key mathematical studies of field equations discussed at GRG18 Session A3, highlighting various research topics in the mathematical physics of field equations.
Contribution
It provides an overview of diverse research topics presented at the session, compiling extended abstracts and insights from multiple contributors.
Findings
Summarizes main topics in mathematical studies of field equations
Highlights recent research developments in the session
Provides a comprehensive overview of session contributions
Abstract
In this report I will give a summary of some of the main topics covered in Session A3, mathematical studies of the field equations, at GRG18, Sydney. Unfortunately, due to length constraints, some of the topics covered at the session will be very briefly mentioned or left out altogether. The summary is mainly based on extended abstracts submitted by the speakers and some of those who presented posters at the session. I would like to thank all participants for their contributions and help with this summary.
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