Part 1: Why Space Curves — The Need for General Relativity

Discover why Newton’s gravity wasn't enough, and how Einstein’s insights on space, time, and geometry laid the foundation for General Relativity.

Ajay Kumar – 6/6/2025

General Relativity

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Part 2: Geometry of Spacetime — Curvature and Coordinates

What does it mean to say space-time is curved? In this post, explore the mathematical heart of General Relativity — spacetime as a 4D continuum, curvature, and the role of coordinates.

Ajay Kumar – 7/6/2025

General Relativity

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Part 3: Einstein’s Field Equations — Meaning and Motivation

What replaces Newton's gravity in Einstein's theory? Explore the powerful Einstein Field Equations (EFE), where geometry and energy determine the shape of the universe.

Ajay Kumar – 8/6/2025

General Relativity

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Part 4: Geodesics — How Matter Moves in Curved Spacetime

In General Relativity, objects don't fall due to forces — they follow geodesics in curved spacetime. Learn what geodesics are, how they govern motion, and why Christoffel symbols shape the paths of light and matter.

Ajay Kumar – 9/6/2025

General Relativity

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Part 5: Schwarzschild Solution — The Simplest Curved Spacetime

Understand the Schwarzschild solution, the first exact solution to Einstein’s field equations, and explore the geometry around non-rotating spherical masses like black holes.

Ajay Kumar – 10/6/2025

General Relativity

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