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  3. Mixmaster universe

Mixmaster universe

  1. History
  2. Topology
  3. Metrics and coordinates
  4. Tensor quantities
  5. Symmetries
  6. Stress-energy tensor
  7. Curves
  8. Equations
  9. Causal structure
  10. Asymptotic structure
  11. Energy conditions
  12. Limits and related spacetimes
  13. Misc.
  14. Bibliography

1. History

2. Topology

The Mixmaster universe spacetime has the topology $\mathbb{R} \times S^3$.

3. Metrics and coordinates

$$ds^2 = -dt^2 + \sum_{k = 1}^3 L_k^2(t) \sigma_k^2$$

4. Tensor quantities

5. Symmetries

6. Stress-energy tensor

7. Curves

8. Equations

9. Causal structure

10. Asymptotic structure

11. Energy conditions

12. Limits and related spacetimes

13. Misc.

Bibliography