Book contents
- Frontmatter
- Contents
- Preface
- List of tables
- Notation
- 1 Introduction
- Part I General methods
- 2 Differential geometry without a metric
- 3 Some topics in Riemannian geometry
- 4 The Petrov classification
- 5 Classification of the Ricci tensor and the energy-momentum tensor
- 6 Vector fields
- 7 The Newman–Penrose and related formalisms
- 8 Continuous groups of transformations; isometry and homothety groups
- 9 Invariants and the characterization of geometries
- 10 Generation techniques
- Part II Solutions with groups of motions
- Part III Algebraically special solutions
- Part IV Special methods
- Part V Tables
- References
- Index
6 - Vector fields
from Part I - General methods
Published online by Cambridge University Press: 10 November 2009
Book contents
- Frontmatter
- Contents
- Preface
- List of tables
- Notation
- 1 Introduction
- Part I General methods
- 2 Differential geometry without a metric
- 3 Some topics in Riemannian geometry
- 4 The Petrov classification
- 5 Classification of the Ricci tensor and the energy-momentum tensor
- 6 Vector fields
- 7 The Newman–Penrose and related formalisms
- 8 Continuous groups of transformations; isometry and homothety groups
- 9 Invariants and the characterization of geometries
- 10 Generation techniques
- Part II Solutions with groups of motions
- Part III Algebraically special solutions
- Part IV Special methods
- Part V Tables
- References
- Index
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- Exact Solutions of Einstein's Field Equations , pp. 68 - 74Publisher: Cambridge University PressPrint publication year: 2003