Special Topic V

Special Topic V: Gravitational Lensing

Outline:

Physics of lensing
- Newtonian and postNewtonian picture
- Fermat's Principle
- history of lensing
Examples of lensing
- Einstein ring, cross
- arcs
- time delay
- amplification - F10214, MACHO light curves
Properties of lensing
- photon four-momentum
  - geometric optics
  - energy shift
  - surface brightness
  - polarization
- time delay
- deflection
- beam convergence
- beam shear
- images
  - mapping, catastrophe theory
  - odd image theorem
  - geometry and physics
  - image position, amplification, time delay
- conservation violations
Astrophysical lensing
- probe of background cosmology
  - cosmological nature of redshift
  - disproof of MOND
  - H_0
  - cosmological constant
- probe of sources
  - CMB
  - supernovae
  - time dependent sources
  - amplification bias
- probe of lenses
  - proper motions
  - parallax lensing
  - microlensing
  - microlens masses
  - cluster masses
  - mass-radius relations
  - mass spectra
  - gravitational wave lensing

Notes: