Conformal methods in general relativity /
Valiente Kroon, Juan A., 1972-
Conformal methods in general relativity / Juan A. Valiente Kroon. - 1 online resource (xxx, 594 pages) : digital, PDF file(s). - Cambridge monographs on mathematical physics . - Cambridge monographs on mathematical physics. .
Reissued as Open Access in 2022. Originally published in 2017. Title from publisher's bibliographic system (viewed on 04 Nov 2022).
Open Access.
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.
9781009291309 (ebook)
General relativity (Physics)--Mathematics.
Geometry, Differential.
Conformal mapping.
Conformal geometry.
Einstein field equations--Numerical solutions.
Space and time.
QC173.6 / .V35 2022
530.11
Conformal methods in general relativity / Juan A. Valiente Kroon. - 1 online resource (xxx, 594 pages) : digital, PDF file(s). - Cambridge monographs on mathematical physics . - Cambridge monographs on mathematical physics. .
Reissued as Open Access in 2022. Originally published in 2017. Title from publisher's bibliographic system (viewed on 04 Nov 2022).
Open Access.
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.
9781009291309 (ebook)
General relativity (Physics)--Mathematics.
Geometry, Differential.
Conformal mapping.
Conformal geometry.
Einstein field equations--Numerical solutions.
Space and time.
QC173.6 / .V35 2022
530.11