Conformal Methods in General Relativity

Juan A. Valiente Kroon

doi:10.1017/9781009291309

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This Book has been cited by the following publications. This list is generated based on data provided by Crossref.

Bekaert, Xavier and Raj, S. I. Aadharsh 2024. Asymptotic behaviour of massless fields and kinematic duality between interior null cones and null infinity. Journal of High Energy Physics, Vol. 2024, Issue. 10,

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Geiller, Marc Laddha, Alok and Zwikel, Céline 2024. Symmetries of the gravitational scattering in the absence of peeling. Journal of High Energy Physics, Vol. 2024, Issue. 12,

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Csukás, Károly and Rácz, István 2025. Hyperboloidal initial data without logarithmic singularities. General Relativity and Gravitation, Vol. 57, Issue. 6,

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Juan A. Valiente Kroon, Queen Mary University of London

Publisher:: Cambridge University Press
Online publication date:: November 2022
Print publication year:: 2023
Online ISBN:: 9781009291309
DOI:: https://doi.org/10.1017/9781009291309
Creative Commons:: This content is Open Access and distributed under the terms of the Creative Commons Attribution licence CC-BY-NC-ND 4.0 https://creativecommons.org/creativelicenses

Subjects:: Physics and Astronomy, Cosmology, Relativity and Gravitation, Theoretical Physics and Mathematical Physics

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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.

'The work serves as an excellent reference on conformal methods for advanced students and researchers. … the text is written well, thoroughly researched, and self-contained.'

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