Gravitational lensing and microlensing
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| Format: | Electronic eBook |
| Language: | English |
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New Jersey :
World Scientific,
c2002.
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| Online Access: | An electronic book accessible through the World Wide Web; click to view |
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Table of Contents:
- 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
- 3.8.3 The binary lens65
- Chapter 4 Macrolensing results 69
- 4.1 Lensing of quasars70
- 4.2 Time delays and Ho74
- 4.3 Statistical lensing and cosmological parameters78
- 4.4 Strong lensing by clusters81
- 4.5 Weak lensing in clusters84
- 4.6 Cosmic shear87
- 4.7 Quasar-galaxy correlations94
- 4.8 Lensing of the Cosmic Microwave Background94
- Chapter 5 Microlensing I: Basics 99
- 5.1 The Galaxy in brief100
- 5.1.1 The thin and thick disks100
- 5.1.2 Galactic spheroid and bulge101
- 5.1.3 The dark halo103
- 5.2 Basic microlensing theoretical tools105
- 5.2.1 The light curve105
- 5.2.2 Optical depth107
- 5.2.3 Event duration distribution108
- 5.3 Microlensing of unresolved sources114
- 5.4 Observational searches of microlensing117
- 5.4.1 Searches towards the Magellanic Clouds118
- 5.4.2 Searches towards the bulge122
- Chapter 6 Microlensing II: Beyond the simplest light curve 125
- 6.1 Binary lenses126
- 6.1.1 The complex lens equation126
- 6.1.2 Microlensing by binaries131
- 6.1.3 Planetary searches136
- 6.2 Further determinations of the lensing parameters139
- 6.2.1 Proper motion141
- 6.2.2 Limb darkening147
- 6.2.3 Parallax measurements148
- 6.3 Astrometric microlensing152
- 6.4 Quasar microlensing156
- Appendix A Cosmology tools 161
- A.1 The Friedmann-Robertson-Walker Universe161
- A.2 The distance scales163
- A.3 Large scale structures166
- A.4 Cosmic Microwave Background anisotropies170
- Bibliography 175
- Index 189.