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Exact vacuum solution to conformal Weyl gravity and galactic rotation curves
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1989
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Conformal Weyl gravity predicts a static, spherically symmetric exterior solution, and this paper presents its complete exact form. The derived solution reproduces the Schwarzschild metric as a special case, adds a linearly growing potential term, and offers a dark‑matter‑free explanation for galactic rotation curves while suggesting cosmological implications. Published in The Astrophysical Journal, July 1989, DOI: 10.1086/167623.
view Abstract Citations (500) References (7) Co-Reads Similar Papers Volume Content Graphics Metrics Export Citation NASA/ADS Exact Vacuum Solution to Conformal Weyl Gravity and Galactic Rotation Curves Mannheim, Philip D. ; Kazanas, Demosthenes Abstract 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. Publication: The Astrophysical Journal Pub Date: July 1989 DOI: 10.1086/167623 Bibcode: 1989ApJ...342..635M Keywords: Conformal Mapping; Galactic Rotation; Gravitation Theory; Space-Time Functions; Vacuum; Computational Astrophysics; Einstein Equations; Gravitational Fields; Relativity; Schwarzschild Metric; Astrophysics; COSMOLOGY; DARK MATTER; GALAXIES: INTERNAL MOTIONS; GRAVITATION full text sources ADS |