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Timeline for Can curvature waves in f(R) theories explain gravitational lensing in cluster collisions?

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Jan 17, 2015 at 13:57 comment added Arthur Suvorov The question then comes to: does the functional form for $f$ you found in order to explain the deflection properties match with other astrophysical bits of evidence as to the true theory of gravity? Hulse-Taylor pulsar, absence of gravitational waves, cosmology, black holes,... . The scalar freedom would mean objects emit dipole type radiation (as well as the usual quadrupolar gravitational radiation), which also has not been observed yet (phys.ufl.edu/ireu/IREU2012/pdf_reports/…). So the $f(R)$ scalar mode cannot be `too' strong.
Jan 17, 2015 at 13:55 comment added Arthur Suvorov As for the bullet cluster specifically, I can't comment. But certainly some work has gone into these kinds of thinking; see for instance this paper by Bohmer et al arxiv.org/abs/0709.0046v3. More generally, you can always think of any f(R) gravity as being a scalar-tensor (Brans-Dicke) theory by looking at conformal transformations (I know Salvatore Capozziello has some nice papers on this, which I cannot find specifically at the moment); the Brans-Dicke theory has a free parameter $\omega$ which molds light deflection. In short, I am sure the answer is a resounding 'yes'
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