Gravitational lensing and microlensing
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| Format: | Elektronisch E-Book |
| Sprache: | English |
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New Jersey
World Scientific
c2002
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Inhaltsangabe:
- Machine generated contents note: Preface vii
- Chapter 1 Historical introduction 1
- Chapter 2 The deflection of light 7
- 2.1 Basics of General Relativity7
- 2.1.1 Introduction7
- 2.1.2 Tensors in curved spacetimes 9
- 2.1.3 Motion of particles 13
- 2.1.4 The spacetime curvature15
- 2.1.5 The Einstein equation17
- 2.1.6 The Schwarzschild metric 18
- 2.2 The bending of light21
- 2.2.1 Point-like deflector21
- 2.2.2 Time delay24
- 2.2.3 Extended mass distribution25
- Chapter 3 Gravitational lensing theory 29
- 3.1 The lens equation29
- 3.1.1 Point-like lenses 29
- 3.1.2 Extended lenses33
- 3.2 The surface brightness conservation 34
- 3.3 Amplification35
- 3.4 Caustics and critical lines41
- 3.5 Fermat's principle42
- 3.6 Galaxy lens models45
- 3.6.1 Circularly symmetric lenses45
- 3.6.2 Non-circularly symmetric lenses50
- 3.7 The folded sky51
- 3.8 Folds and cusps58
- 3.8.1 Magnification near a fold60
- 3.8.2 Magnification near a cusp62