The product rule for the Lie derivative and the Killing equation give
(1)
Consequently is a Conformal Killing vector field for the rescaled metric tensor, with smooth conformal Killing factor
(2)
It remains an actual Killing vector field precisely when : the conformal factor must be constant along its integral curves of a vector field.

Ancestors (12)

  1. a
  2. 2
  3. 2017
  4. Past exam of the general relativity II course of the University of Oxford
  5. General relativity II course of the University of Oxford
  6. Year 4 of the mathematics course of the University of Oxford
  7. Mathematics course of the University of Oxford
  8. Undergraduate course of the University of Oxford
  9. Course of the University of Oxford
  10. University of Oxford
  11. List of universities
  12. 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