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The Geroch-Held-Penrose Calculus Fundamentals and Applications /

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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Váldodahkkit: Bargueño, Pedro (Dahkki), Contreras, Ernesto (Dahkki)
Searvvušdahkki: SpringerLink (Online service)
Materiálatiipa: Elektrovnnalaš E-girji
Giella:eaŋgalasgiella
Almmustuhtton: Cham : Springer Nature Switzerland : Imprint: Springer, 2023.
Preanttus:1st ed. 2023.
Ráidu:SpringerBriefs in Physics,
Fáttát:
General relativity (Physics).
Mathematical physics.
Mathematical analysis.
Global analysis (Mathematics).
Manifolds (Mathematics).
Science.
General Relativity.
Theoretical, Mathematical and Computational Physics.
Integral Transforms and Operational Calculus.
Global Analysis and Analysis on Manifolds.
Foundations of Physics and Cosmology.
Liŋkkat:https://doi.org/10.1007/978-3-031-42948-4
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Sisdoallologahallan:
  • 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.

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