# Singularity Theory and Gravitational Lensing

@inproceedings{Petters2001SingularityTA, title={Singularity Theory and Gravitational Lensing}, author={Arlie O. Petters and Harold Levine and Joachim Wambsganss}, year={2001} }

The 2000 David Blackwell Lecturer was Arlie O. Petters. Dr. Petters also coorganized CAARMS 7. Now there is a book, Singularity Theory and Gravitational Lensing by A. O. Petters, H. Levine, and J. Wambsganss. In gravitational lensing, the image from a distant cosmic object appears to split into multiple images due to the effect of gravitational force exerted by massive intervening objects between them and Earth. Here it is mathematically demonstrated how gravity from not just one or two objects…

## 225 Citations

### Gravity ’ s Action on Light

- Physics
- 2010

G ravitational lensing is the action of gravity on light. The subject has become a vibrant area in astronomy and mathematical physics with great predictive power. The field cuts across geometry,…

### Gravitational Lensing by Rotating Naked Singularities

- Physics
- 2008

We model massive compact objects in galactic nuclei as stationary, axially symmetric naked singularities in the Einstein-massless scalar field theory and study the resulting gravitational lensing. In…

### Gravitational Lensing by Elliptical Galaxies, and the Schwarz Function

- Physics, Mathematics
- 2009

We discuss gravitational lensing by elliptical galaxies with some particular mass distributions. Using simple techniques from the theory of quadrature domains and the Schwarz function (cf. [18]) we…

### Gravitational Lensing from a Spacetime Perspective

- PhysicsLiving reviews in relativity
- 2004

The theory of gravitational lensing is reviewed from a spacetime perspective, without quasi-Newtonian approximations, and includes general theorems on the classification of caustics, on criteria for multiple imaging, and on the possible number of images.

### Fermat potentials for nonperturbative gravitational lensing

- Physics
- 2002

The images of many distant galaxies are displaced, distorted and often multiplied by the presence of foreground massive galaxies near the line of sight; the foreground galaxies act as gravitational…

### Theoretical gravitational lensing. Beyond the weak-field small-angle approximation

- Physics
- 2007

An overview is given on those theoretical gravitational lensing results that can be formulated in a spacetime setting, without assuming that the gravitational fields are weak and that the bending…

### Gravitational lensing by a black-bounce-Reissner–Nordström spacetime

- PhysicsThe European Physical Journal C
- 2022

We investigate the weak and strong deflection gravitational lensing by a black-bounce-Reissner–Nordström spacetime and obtain their lensing observables. Assuming the supermassive black holes in the…

### Mathematics of gravitational lensing: multiple imaging and magnification

- Mathematics, Physics
- 2010

The mathematical theory of gravitational lensing has revealed many generic and global properties. Beginning with multiple imaging, we review Morse-theoretic image counting formulas and lower bound…

### Gravitational lensing in fourth order gravity

- Physics
- 2006

Gravitational lensing is investigated in the weak field limit of fourth order gravity in which the Lagrangian of the gravitational field is modified by replacing the Ricci scalar curvature $R$ with…