Exact Static Cylindrical Solution to Conformal Weyl Gravity

Jan, 2012
8 pages
Published in:
  • Phys.Rev.D 85 (2012) 104054
e-Print:

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Abstract: (arXiv)
We present the exact exterior solution for a static and neutral cylindrically symmetric source in locally conformal invariant Weyl gravity. As a special case the general relativity analogue still can be attained, however only as a sub-family of solutions. Our solution contains a linear term that would thus result in a potential that grows linearly over large distances. This may have implications for exotic astrophysical structures as well as matter fields on the extremely small scale.
Note:
  • 8 pages, Physical Review D
  • 04.20.-q
  • 04.50.Gh
  • invariance: conformal
  • gravitation: Weyl
  • symmetry: cylinder
  • gravitation: conformal