Spacetime and Geometry

基本信息

Format:Hardback 516 pages, Worked examples or Exercises; 108 Line drawings, black and white

Publisher:Cambridge University Press

Imprint:Cambridge University Press

ISBN:9781108488396

Published:8 Aug 2019

Weight:1268g

Dimensions:197 x 253 x 29 (mm)

页面参数仅供参考，具体以实物为准

书籍简介

这本书旨在让读者清晰明了地接触广义相对论，广义相对论的引入，从大爆炸到黑洞，这样很容易激起读者对物理学的浓厚兴趣。附录中提供了大量的数学材料来帮助读者理解正文，而且附录的很多部分本身也是独立完整的。

本书的结构，第一章主要介绍狭义相对论和基本张量代数，包含一个场论的简要概述。紧接着的两章引入流形和曲率，包含一些具有激发性的物理知识，但主要目标是建立数学框架。第四章引入广义相对论，并且给出一些择一性定理的讨论。紧接着的四章主要讨论广义相对论的三大主要用途：黑洞，扰动理论和引力波，以及宇宙学。这些章节都贯穿有试验性结论的讨论，使得这些理论的实用性马上显现出来。

本书很适合物理系高年级本科生、研究生以及对广义相对论感兴趣的读者。

Spacetime and Geometry is an introductory textbook on general relativity, specifically aimed at students. Using a lucid style, Carroll first covers the foundations of the theory and mathematical formalism, providing an approachable introduction to what can often be an intimidating subject. Three major applications of general relativity are then discussed: black holes, perturbation theory and gravitational waves, and cosmology. Students will learn the origin of how spacetime curves (the Einstein equation) and how matter moves through it (the geodesic equation). They will learn what black holes really are, how gravitational waves are generated and detected, and the modern view of the expansion of the universe. A brief introduction to quantum field theory in curved spacetime is also included. A student familiar with this book will be ready to tackle research-level problems in gravitational physics.

• Explains mathematical formalism clearly with examples, helpful for students trying to access the physical content of general relativity

• Treats general relativity as a field theory, making it familiar to students of electromagnetism and connecting it directly to quantum field theory

• Contains detailed appendices including technical information and advanced topics for the interested reader

目录

1. Special relativity and flat spacetime

2. Manifolds

3. Curvature

4. Gravitation

5. The Schwarzchild solution

6. More general black holes

7. Perturbation theory and gravitational radiation

8. Cosmology

9. Quantum field theory in curved spacetime

10. Appendixes

Bibliography

Index.

作者简介

Sean Carroll是加州理工大学的高级物理研究员，主要兴趣在于理论物理。他也是教科书《Spacetime and Geometry》的作者。

Sean M. Carroll, California Institute of Technology

Sean M. Carroll is Research Professor of Physics at the California Institute of Technology. His research focuses on general relativity, cosmology, field theory, statistical mechanics, and quantum mechanics. He is the recipient of numerous awards, including the Gemant Award from the American Institute of Physics, the Winton Science Book Prize from the Royal Society, a Guggenheim fellowship, and teaching awards from Massachusetts Institute of Technology and the University of Chicago.