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Exact vacuum solution to conformal Weyl gravity and galactic rotation curves
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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Citations
Cited by
Capozziello, S., & De Laurentis, M. (2011) · Physics Reports · doi:10.1016/j.physrep.2011.09.003 · Cited by 3,321
Extended theories of gravity and their cosmological and astrophysical applications
Capozziello, S., & Francaviglia, M. (2008) · General Relativity and Gravitation · doi:10.1007/s10714-007-0551-y · Cited by 874
Study of the anomalous acceleration of Pioneer 10 and 11
Anderson, J. D., Laing, P. A., Lau, E. L., Liu, A. S., Nieto, M. M., & Turyshev, S. G. (2002) · Physical Review D · doi:10.1103/physrevd.65.082004 · Cited by 585
Reconciling dark energy models withf(R)theories
Capozziello, S., Cardone, V. F., & Troisi, A. (2005) · Physical Review D · doi:10.1103/physrevd.71.043503 · Cited by 527
Teleparallel gravity: from theory to cosmology
Bahamonde, S., Dialektopoulos, K. F., Escamilla-Rivera, C., Farrugia, G., Gakis, V., Hendry, M., Hohmann, M., Levi Said, J., Mifsud, J., & Di Valentino, E. (2023) · Reports on Progress in Physics · doi:10.1088/1361-6633/ac9cef · Cited by 503
Metadata
- Authors
- Mannheim, P. D., & Kazanas, D.
- Venue
- The Astrophysical Journal
- Publisher
- American Astronomical Society
- Published
- 1989-07
- Volume
- 342
- Pages
- 635
- ISSN
- 0004-637X (ISSN-L)
- 1538-4357
- OpenAlex
- W2020275996
- Cited by
- 622
- References
- 0
- FWCI
- 4.80
- Type
- journal article
- Language
- en
- Open access
- closed
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- Mannheim, P. D., & Kazanas, D. (1989). Exact vacuum solution to conformal Weyl gravity and galactic rotation curves. The Astrophysical Journal. https://doi.org/10.1086/167623
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