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An f(R) gravitation for galactic environments

Published online by Cambridge University Press:  01 August 2006

Yousef Sobouti
Yousef Sobouti*
Affiliation:
Institute for Advanced Studies in Basic Sciences, P.O. Box 45195-1159, Zanjan, Iran email: [email protected]
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Abstract

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We propose an action-based f(R) modification of Einstein's gravity which admits of a modified Schwarzschild-deSitter metric. In the weak field limit this amounts to adding a small logarithmic correction to the Newtonian potential. A test star moving in such a spacetime acquires a constant asymptotic speed at large distances. This speed turns out to be proportional to the fourth root of the mass of the central body in compliance with the Tully-Fisher relation. A variance of MOND's gravity emerges as an inevitable consequence of the proposed formalism.

Type
Contributed Papers
Information
Proceedings of the International Astronomical Union , Volume 2 , Symposium S238: Black Holes from Stars to Galaxies – Across the Range of Masses , August 2006 , pp. 451 - 452
Copyright
Copyright © International Astronomical Union 2007

References

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