TY  - BOOK
AU  - Valiente Kroon,Juan A.
TI  - Conformal methods in general relativity
T2  - Cambridge monographs on mathematical physics
SN  - 9781009291309 (ebook)
AV  - QC173.6 .V35 2022
U1  - 530.11 23
PY  - 2022///
CY  - Cambridge
PB  - Cambridge University Press
KW  - General relativity (Physics)
KW  - Mathematics
KW  - Geometry, Differential
KW  - Conformal mapping
KW  - Conformal geometry
KW  - Einstein field equations
KW  - Numerical solutions
KW  - Space and time
N1  - Reissued as Open Access in 2022. Originally published in 2017; Title from publisher's bibliographic system (viewed on 04 Nov 2022); Open Access
N2  - This book offers a systematic exposition of conformal methods and how they can be used to study the global properties of solutions to the equations of Einstein's theory of gravity. It shows that combining these ideas with differential geometry can elucidate the existence and stability of the basic solutions of the theory. Introducing the differential geometric, spinorial and PDE background required to gain a deep understanding of conformal methods, this text provides an accessible account of key results in mathematical relativity over the last thirty years, including the stability of de Sitter and Minkowski spacetimes. For graduate students and researchers, this self-contained account includes useful visual models to help the reader grasp abstract concepts and a list of further reading, making this an ideal reference companion on the topic. This title, first published in 2016, has been reissued as an Open Access publication on Cambridge Core
UR  - https://doi.org/10.1017/9781009291309
ER  -