Matching Exterior to Interior Solutions in Weyl Gravity: Comment on ``Exact Vacuum Solution to Conformal Weyl Gravity and Galactic Rotation Curves''

Astronomy and Astrophysics – Astronomy

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Cosmology: Theory, Gravitation, Relativity

Scientific paper

Recently Mannheim and Kazanas presented the static, spherically symmetric exact vacuum solution of Weyl gravity and suggested that it could be fitted to general relativistic experimental tests in the solar system and to the observed galactic rotation curves. Here we discuss matching this solution to an interior one that satisfies the weak energy condition and a regularity condition at the center. We show that this leads to contradiction of Mannheim & Kazanas's suggestion.

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