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Gravitational Lensing in Spacetimes

Matter, Dark Energy, and Black Holes

  • Textbook
  • Jan 2025

Overview

Authors:
  1. Arlie O. Petters

    1. New York University Abu Dhabi, Abu Dhabi, United Arab Emirates

    View author publications

    You can also search for this author in PubMed   Google Scholar

  2. Marcus Werner

    1. Duke Kunshan University, Kunshan, China

    View author publications

    You can also search for this author in PubMed   Google Scholar

  • This unique monograph provides a rigorous, unified, exposition of gravitational lensing in spacetimes with matter, dark energy, and black holes
  • Can be used as a text for a graduate course or advanced undergraduate seminar
  • Should be of interest to interdisciplinary researchers in mathematics, mathematical physics, astrophysics, cosmology, and general relativity
  • Petters' work has been celebrated in NYTimes and Duke articles

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Keywords

  • Astrophysics
  • Black Holes
  • Cosmology
  • Dark Energy
  • General Relativity
  • Gravitational Lensing
  • Mathematical Physics
  • Spacetime

About this book

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.

Authors and Affiliations

  • New York University Abu Dhabi, Abu Dhabi, United Arab Emirates

    Arlie O. Petters

  • Duke Kunshan University, Kunshan, China

    Marcus Werner

About the authors

​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.

Bibliographic Information

  • Book Title: Gravitational Lensing in Spacetimes

  • Book Subtitle: Matter, Dark Energy, and Black Holes

  • Authors: Arlie O. Petters, Marcus Werner

  • Publisher: Springer New York, NY

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer Science+Business Media, LLC, part of Springer Nature 2024

  • Hardcover ISBN: 978-1-4419-0327-3Due: 10 February 2025

  • eBook ISBN: 978-1-4419-0328-0Due: 10 February 2025

  • Edition Number: 1

  • Number of Illustrations: 90 b/w illustrations

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