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.
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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