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Title:
Exact vacuum solution to conformal Weyl gravity and galactic rotation curves
Authors:
Mannheim, Philip D.; Kazanas, Demosthenes
Affiliation:
AA(NASA, Goddard Space Flight Center, Greenbelt, MD), AB(NASA, Goddard Space Flight Center, Greenbelt, MD)
Publication:
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 342, July 15, 1989, p. 635-638. Research supported by the National Academy of Sciences. (ApJ Homepage)
Publication Date:
07/1989
Category:
Astrophysics
Origin:
STI
NASA/STI Keywords:
Conformal Mapping, Galactic Rotation, Gravitation Theory, Space-Time Functions, Vacuum, Computational Astrophysics, Einstein Equations, Gravitational Fields, Relativity, Schwarzschild Metric
DOI:
10.1086/167623
Bibliographic Code:
1989ApJ...342..635M

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.

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