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2. Spacetime database
3. Bertotti-Robinson

Bertotti-Robinson

The Bertotti-Robinsonspacetime corresponds to a spacetime generated by a static and constant electromagnetic field.

1. History

2. Topology

3. Metrics and coordinates

Levi-Civitta coordinates

$$ds^2 = - \left[ c_1 \exp (\frac{z}{a}) + c_2 \exp(-\frac{z}{a}) \right] dt^2 + \frac{(xdx + ydy)^2}{a^2 - r^2} + dx^2 + dy^2 + dz^2 $$

Maccone 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.

Bibliography