A rigorous, problem‑driven guide to four‑dimensional space–time and gravitation, built around concrete methods and Einstein’s ideas.
This edition presents a careful treatment of the metric space around a gravitating center, the paths of material particles and light, and how different observers relate their natural coordinate systems. It emphasizes a tensor form for the laws of physics and includes detailed problem work that guides readers through the core calculations of relativity.
Readers will encounter:
- How to define natural coordinate systems and relate them across observers.
- Derivation of the Einstein tensor for orthogonal coordinate systems in a gravitating field.
- Geodesic paths for particles and light, with methods for solving the associated equations.
- Conceptual tools for resolving covariant and contravariant tensors in practical settings.
Ideal for students and professionals who want a clear, quantitative approach to relativity and gravitation, using concrete problems to build understanding.