Spacetime and Geometry

Spacetime and Geometry
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DOI:
10.1017/9781108770385
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发表时间:
2019-07
期刊:
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影响因子:
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通讯作者:
S. Carroll
S. Carroll
中科院分区:
其他
文献类型:
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作者:
S. Carroll

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《时空与几何》是一本专门针对学生的广义相对论入门教材。使用一个清晰的风格,卡罗尔首先涵盖了理论和数学形式主义的基础,提供了一个平易近人的介绍,往往是一个令人生畏的主题。然后讨论了广义相对论的三个主要应用:黑洞、微扰理论和引力波以及宇宙学。学生将学习时空如何弯曲的起源(爱因斯坦方程)和物质如何在其中运动(测地线方程)。他们将了解黑洞到底是什么,引力波是如何产生和探测到的,以及现代对宇宙膨胀的看法。本文还简要介绍了弯曲时空中的量子场论。熟悉本书的学生将准备好解决重力物理中的研究级问题。
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.