Portrait of Raghav Somani

Raghav Somani

Quantitative Researcher

Geometry of Relativistic Spacetime Physics

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This article introduces the mathematical structures needed to understand relativistic spacetime physics. The self-referential and self-contained nature of mathematics provides a rigorous language for formulating the components of Einstein’s general theory of relativity—spacetime, matter, and gravity—along with their behavior and interactions. These notes begin with smooth manifolds and then add the necessary and sufficient differential-geometric structures.

The complete notes can be found here.

These notes were made while I had been doing the Central Lecture course of the International Winter School on Gravity and Light 2015. Many thanks to the excellent teachings by Prof. Frederic P. Schuller in these lectures and all other online available lectures on the Mathamatical anatomy of Theoretical Physics.

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