Computer Science
Scientific paper
Sep 2008
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008mgm..conf.1230s&link_type=abstract
"THE ELEVENTH MARCEL GROSSMANN MEETING On Recent Developments in Theoretical and Experimental General Relativity, Gravitation an
Computer Science
Scientific paper
We propose an action-based f(R) modification of Einstein's gravity which admits of a modified Schwarzschild 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, calibrated empirically, is 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 a consequence of the formalism. It has also been shown (Mendoza et al. 2006) that a) the gravitational waves in this spacetime propagate with the speed of light in vacuum and b) there is a lensing additional to what one finds in the classic GR.
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