Welcome to Einstein's Universe!

These  two online courses were developed for lower-division college physics instructors but also include material that can be used by students.

The 2015 course is LIGO: Waves and Gravity. This course was developed prior to the discovery of gravitational waves.

The 2016 course is LIGO: Detecting Gravitational Waves. This course was developed after the discovery of gravitational waves.

If you have any trouble using this site or any questions about the material, please contact Prof. Lynn Cominsky, lynnc@universe.sonoma.edu

Support for this work has been provided by the National Science Foundation, PHY-1404215.

In this course you will learn how LIGO detects gravitational wavesThe basic idea behind the experiment is simple: that a passing gravitational wave will change the length of the arms in a laser interferometer, and as a result, it will create a changing amplitude in the interfering laser beams. However simple this idea is in concept, to put it into practice has required great care. New technologies have had to be created, and old ones have been refined. This was necessary in order to attain the highest precision measurements ever made in an experiment: a change in the length of each interferometer arm of only one part in 1021. After 40 years of design studies, technology development, prototyping and testing, construction of a suffieciently sensitive experiment was completed in 2015.

In the final stages of commissioning, even before the fi rst science runs had begun, the experiment met with success. On September 14, 2015, at 09:50:45 UTC, the LIGO experiment made the first-ever direct detection of gravitational waves (Abbott & et al., 2016).

No better way could have been conceived to mark the centenary of Einstein's General Theory of Relativity (Einstein, 1916), or his prediction of gravitational waves (Einstein, 1918).




This course includes three units of new material developed for the online course LIGO: Waves and Gravity. There are two chapters of  advanced physics-oriented material (Learning More about Light and Geometry and Gravity for Weak Fields) that were designed as professional development for the participants. These units have been designed to ensure that participants will be able to answer questions from college or advanced high school students. They can be freely provided to advanced students, but they are not intended to be part of what would be taught as part of a lower-division physics curriculum. The final unit (Astrophysical Sources of Gravitational Waves) is also freely available to distribute, and includes links to many free resources and homework problems that use gravitational waves to spark an interest in further physics studies. This Moodle site also includes an extensive collection of papers, links, videos, sounds and other materials that are freely available for classroom use.