Multiplane gravitational lensing. I. Morse theory and image counting


Journal Article

The image counting problem for gravitational lensing by general matter deflectors distributed over finitely many lens planes is considered. Counting formulas and lower bounds are found via Morse theory for the number of images of a point source not on a caustic. Images are counted within a compact region D not necessarily assumed to properly contain the deflector space. In addition, it is shown that Morse theory is applicable because multiplane time-delay maps Ty generically satisfy the Morse boundary conditions relative to D. All results obtained depend only on the topological properties induced in the lens planes by the deflector potentials and the behavior of grad Ty at boundary points of D. © 1995 American Institute of Physics.

Full Text

Duke Authors

Cited Authors

  • Petters, AO

Published Date

  • January 1, 1995

Published In

Volume / Issue

  • 36 / 8

Start / End Page

  • 4263 - 4275

International Standard Serial Number (ISSN)

  • 0022-2488

Digital Object Identifier (DOI)

  • 10.1063/1.530961

Citation Source

  • Scopus