This is a table of contents for my notes on relativity. The posts are arranged in an order that might be found in a textbook. For an alphabetical index, see this page.

- Postulates of special relativity
- Relativistic units
- Invariance of spacetime intervals
- Spacetime diagrams
- Spacetime diagrams - two observers
- Spacetime diagrams - events and world lines
- Spacetime diagrams - particle detector
- Invariant hyperbolas
- Time dilation and proper time
- Length contraction
- No contraction in directions perpendicular to the motion
- Twin paradox
- Pole in a barn paradox
- Doppler effect
- Doppler effect and four-momentum
- Lorentz transformations
- Linearity of Lorentz transformations
- Four-velocity
- Four-velocity - an example
- Four-velocity - another example
- Four-acceleration
- Composition of velocities in relativity
- Momentum and energy
- Four-momentum conservation
- Four-momentum of photons
- Four-momentum conservation in electron-positron annihilation
- Electron-positron collision must produce at least 2 photons
- Four-momentum conservation in the electron-electron collision
- Four-momentum conservation in the electron-photon collision
- Four-momentum conservation in a spaceship
- A flawed theory of gravity

- Four-vectors - basics
- Manifolds, curves and surfaces
- Coordinate transformations - the Jacobian determinant
- Tensors and one-forms
- Tensor index notation
- Components of one-forms and vectors
- Contravariant tensors
- Covariant and mixed tensors
- Gradient as a one-form
- Gradient as covector - example in 2-d
- Normal vectors and unit normal one-forms
- Tensor trace
- Tensor product - numerical example
- Symmetric and anti-symmetric tensors
- Inertia tensor

- Metric tensor and basis vectors
- Vectors and the metric tensor
- Metric tensor for surface of a sphere
- Metric tensor under Lorentz transformation
- Metric tensor - inverse and raising and lowering indices
- Trace of metric tensor
- Metric tensor in semi-log coordinates
- Metric tensor in sinusoidal coordinates
- Metric tensor in spherical coordinates
- Metric tensor in parabolic coordinates

- Transforming derivatives of four-vectors and scalars
- Christoffel symbols and the covariant derivative
- Covariant derivative of a general tensor
- Christoffel symbols - symmetry
- Higher order derivatives are not tensors