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Introduction

Published online by Cambridge University Press:  24 April 2025

Horatiu Nastase
Affiliation:
Universidade Estadual Paulista, São Paulo
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Summary

This text on general relativity and its modern applications is suitable for an intensive one-semester course on general relativity, at the level of a PhD student in physics. Assuming knowledge of classical mechanics and electromagnetism at an advanced undergraduate level, basic concepts are introduced quickly, with greater emphasis on their applications. Standard topics are covered, such as the Schwarzschild solution, classical tests of general relativity, gravitational waves, Arnowitt, Deser, Misner parametrization, relativistic stars, and cosmology, as well as more advanced standard topics such as vielbein–spin connection formulation, trapped surfaces, the Raychaudhuri equation, energy conditions, the Petrov and Bianchi classifications, and gravitational instantons. More modern topics, including black hole thermodynamics, gravitational entropy, effective field theory for gravity, the parametrized post- Newtonian expansion, the double copy, and fluid-gravity correspondence are also introduced using the language understood by physicists, without mathematics that is too abstract mathematics, proven theorems, or the language of pure mathematics.

Type
Chapter
Information
General Relativity
A Graduate Course
, pp. 1 - 2
Publisher: Cambridge University Press
Print publication year: 2025

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  • Introduction
  • Horatiu Nastase, Universidade Estadual Paulista, São Paulo
  • Book: General Relativity
  • Online publication: 24 April 2025
  • Chapter DOI: https://doi.org/10.1017/9781009575737.003
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  • Introduction
  • Horatiu Nastase, Universidade Estadual Paulista, São Paulo
  • Book: General Relativity
  • Online publication: 24 April 2025
  • Chapter DOI: https://doi.org/10.1017/9781009575737.003
Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • Introduction
  • Horatiu Nastase, Universidade Estadual Paulista, São Paulo
  • Book: General Relativity
  • Online publication: 24 April 2025
  • Chapter DOI: https://doi.org/10.1017/9781009575737.003
Available formats
×