The Geroch-Held-Penrose Calculus [E-Book] : Fundamentals and Applications / by Pedro Bargueño, Ernesto Contreras.
This book offers a primer on the fundamentals and applications of the Geroch-Held-Penrose (GHP) calculus, a powerful formalism designed for spacetimes that occur frequently in the teaching of General Relativity. Specifically, the book shows in detail the power of the calculus when dealing with spher...
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Personal Name(s): | Bargueño, Pedro, author |
Contreras, Ernesto, author | |
Edition: |
1st edition 2023. |
Imprint: |
Cham :
Springer,
2023
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Physical Description: |
XVI, 70 pages 2 illustrations (online resource) |
Note: |
englisch |
ISBN: |
9783031429484 |
DOI: |
10.1007/978-3-031-42948-4 |
Series Title: |
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SpringerBriefs in Physics
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Subject (LOC): |
- Part I. Fundamentals
- Chapter 1. Basics of General Relativity
- Chapter 2. The Newman-Penrose formalism
- Chapter 3. Tools for the GHP formalism
- Chapter 4. The GHP equations, Bianchi identities and commutator relations
- Chapter 5. The Penrose-Rindler equation
- Part II. Applications
- Chapter 6. Spherically symmetric electro-vacuum solutions: a GHP approach
- Chapter 7. Self-gravitating spheres and fluid distributions: a GHP approach
- Chapter 8. Black hole thermodynamics through the GHP calculus
- Part III. Conclusions
- Chapter 9. Conclusions and Outlook.