Gravitational Lensing in Spacetimes

Gravitational lensing occupies a central role in astrophysics and cosmology. It addresses some of the most pressing scientific issues: determining the nature of dark matter, constraining the cosmological constant and evolving dark energy, estimating Hubble's constant, and testing Einstein's general theory of relativity using the Galactic black hole. All these topics are treated in the book.
This unique monograph provides a rigorous, unified, exposition of gravitational lensing in spacetimes with matter (ordinary and dark matter), cosmological constant and evolving dark energy, and black holes (includes rotating black holes with accretion disks). Emphasis is placed on the rigorous analytical aspects of the subject, while at the same time introducing general relativity.
This work can be used as a text for a graduate level course or advanced undergraduate seminar in General Relativity or Gravitational Lensing. The work is interdisciplinary and should be of interest to researchers in mathematics, mathematical physics, astrophysics, cosmology, and general relativity.

-Marcus Werner currently holds two affiliations: Yukawa Institute for Theoretical Physics, Kyoto University and the Kavli Institute for the Physics and Mathematics of the Universe. Werner's research interest include alternative gravity theories, cosmology and statistics, and mathematics.
Arlie Petters is the Dean of Academic Affairs for Trinity College of Arts and Sciences and Associate Vice Provost for Undergraduate Education at Duke University. He is also the Benjamin Powell Professor of Mathematics and a Professor of Physics and Economics. Petters has coauthored two books that have had great impact of Singularity Theory and Gravitational Lensing, (c) 2001: 978-0-8176-3668-5 and An Introduction to Mathematical Finance with Applications, (c) 2016: 978-1-4939-3781-3.