Ray D'Inverno: Introducing Einstein's Relativity

Here are my solutions to various problems in Ray D'Inverno’s textbook Introducing Einstein's Relativity. The book does give answers to most problems at the back, but it doesn't provide the working behind them in most cases, so I'll post my own modest attempts here.

Chapter 2 - The k-calculus

2.2, 2.3, 2.4, 2.52.6

Chapter 5 - Tensor algebra

5.1, 5.2, 5.3, 5.4, 5.5, 5.6, 5.7, 5.8, 5.9, 5.10, 5.11, 5.12, 5.13, 5.14, 5.155.16 (i-iv), 5.16 (v)

Chapter 6 - Tensor calculus

6.1, 6.2, 6.3, 6.46.5, 6.6, 6.7, 6.8, 6.9, 6.10, 6.11