Exact Static Cylindrical Solution to Conformal Weyl Gravity
  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. 
Jackson Levi Said, Joseph Sultana and Kristian Zarb Adami
gr-qc