TL;DR
This concise introduction to General Relativity covers fundamental concepts, mathematical tools, black holes, cosmology, and recent gravitational wave developments for advanced undergraduates.
Contribution
It provides a comprehensive, accessible overview of key topics in General Relativity, including advanced subjects like Hawking radiation and recent gravitational wave research.
Findings
Derivation of nonlinear gravitational field equations
Application to black holes and cosmology
Coverage of recent gravitational wave detection developments
Abstract
These notes give a concise introduction to General Relativity at the advanced undergraduate level, starting from the weak field limit and gravitational waves, then introducing curved manifolds and Riemannian geometry. The nonlinear gravitational action is used to derive the nonlinear field equations, with applications to black holes and cosmology. It is assumed that special relativity and electromagnetic waves have been previously studied. Some advanced topics such as Rindler and Hawking radiation are derived, and recent developments in gravitational wave detection are briefly covered. Problems are included, both those suitable for homework, and simpler ones that could be worked out by students during class sessions.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.