Exact Static Cylindrical Solution to Conformal Weyl Gravity

Details Exact Static Cylindrical Solution to Conformal Weyl Gravity Exact Static Cylindrical Solution to Conformal Weyl Gravity

2012-01-04

arxiv.org/abs/1201.0860v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

8 pages, submitted to Phys. Rev. D

Scientific paper

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.

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