Causal Structure of Vacuum Solutions to Conformal(Weyl) Gravity

Details Causal Structure of Vacuum Solutions to Conformal(Weyl) Gravity Causal Structure of Vacuum Solutions to Conformal(Weyl) Gravity

1998-08-31

arxiv.org/abs/astro-ph/9808345v2

Gen.Rel.Grav.31:1031-1047,1999

Astronomy and Astrophysics

Astrophysics

18 pages, 2 figures, title and abstract changed, contents essentially unaltered accepted for publication in General Relativity

Scientific paper

10.1023/A:1026749032217

Using Penrose diagrams the causal structure of the static spherically symmetric vacuum solution to conformal (Weyl) gravity is investigated. A striking aspect of the solution is an unexpected physical singularity at $r=0$ caused by a linear term in the metric. We explain how to calculate the deflection of light in coordinates where the metric is manifestly conformal to flat i.e. in coordinates where light moves in straight lines.

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