Conformal Methods in General Relativity (Paperback)
暫譯: 廣義相對論中的共形方法 (平裝本)

Kroon, Juan A. Valiente

  • 出版商: Cambridge
  • 出版日期: 2023-02-09
  • 售價: $1,350
  • 貴賓價: 9.8$1,323
  • 語言: 英文
  • 頁數: 626
  • 裝訂: Quality Paper - also called trade paper
  • ISBN: 1009291335
  • ISBN-13: 9781009291330
  • 立即出貨 (庫存=1)

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商品描述

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.

商品描述(中文翻譯)

本書系統性地闡述了共形方法及其如何用於研究愛因斯坦重力理論方程解的全球性質。它顯示,將這些思想與微分幾何結合可以闡明該理論基本解的存在性和穩定性。本書介紹了深入理解共形方法所需的微分幾何、旋量和偏微分方程背景,提供了過去三十年數學相對論中的關鍵結果的易懂說明,包括 de Sitter 和 Minkowski 時空的穩定性。對於研究生和研究人員而言,這本自成體系的著作包含有用的視覺模型,幫助讀者掌握抽象概念,並附有進一步閱讀的建議,使其成為該主題的理想參考書。本書首次出版於2016年,現已在 Cambridge Core 以開放存取的形式重新發行。

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