Exact vacuum solution to conformal Weyl gravity and galactic rotation curves

Statistics – Computation

Scientific paper

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156

Conformal Mapping, Galactic Rotation, Gravitation Theory, Space-Time Functions, Vacuum, Computational Astrophysics, Einstein Equations, Gravitational Fields, Relativity, Schwarzschild Metric

Scientific paper

The complete, exact exterior solution for a static, spherically symmetric source in locally conformal invariant Weyl gravity is presented. The solution includes the familiar exterior Schwarzschild solution as a special case and contains an extra gravitational potential term which grows linearly with distance. The obtained solution provides a potential explanation for observed galactic rotation curves without the need for dark matter. The solution also has some interesting implications for cosmology.

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