The large-Scale Structure of Space, Time and Velocity
- Introduction
- Historical background
- Cosmology and special relativity
- Cosmological Special Relativity
- Introduction
- Fundamentals of special relativity
- Present-day cosmology
- Postulates
- Cosmic frames
- Spacevelocity in cosmology
- Pre-special-relativity
- Extension of the Lorentz Group to Cosmology
- Preliminaries
- The line element
- The transformations explicitly
- The generalized transformation
- Concluding remarks
- Fundamentals of Einstein’s Special Relativity
- Postulates of special relativity
- The principle of relativity. Constancy of the speed of light
- Coordinates
- Inertial coordinate system
- Simultaneity
- The Galilean transformation
- The Galilean group
- The Lorentz transformation
- Measuring rods and clocks
- Spatial coordinates and time
- Postulates of special relativity
- Structure of Spacetime
- The Light Cone
- Mass, Energy and Momentum
- Preliminaries
- Mass, energy and momentum
- Angular-momentum representation
- Energy-momentum four-vector
- Problems
- Velocity, Acceleration and Cosmic Distances
- Preliminaries
- Velocity and acceleration four-vectors
- First Days of the Universe
- A – Cosmological General Relativity
- B – Five-Dimensional Brane World Theory
- C – Cosmic Temperature Decline