In geodesic gauge,
(1)
The BSSN evolution equation reduces to
(2)
The first term is a squared norm with respect to the positive-definite spatial metric, the second is nonnegative, and the stated energy condition makes the final term nonnegative. Therefore
(3)
The mean curvature can only increase along this geodesic slicing.

Ancestors (11)

  1. d
  2. 3
  3. Paper 357
  4. iii
  5. 2025
  6. Past exam of the mathematics course of the University of Cambridge
  7. Mathematics course of the University of Cambridge
  8. Course of the University of Cambridge
  9. University of Cambridge
  10. List of universities
  11. Home

View article source

Discussion (0)

New discussion

There are no discussions about this article yet.

Articles by others on the same topic (0)

There are currently no matching articles.
See all articles in the same topic Create my own version