For Hu-Sawicki f(R) black holes, the paper claims smaller critical impact parameters and negative deflection at large impact parameters than Schwarzschild, plus observables for Sgr A* and M87*, but the strong-lensing numbers are internally inconsistent.
Does the stability of f(R) theories imply the stability of the dual scalar-tensor theory ?
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abstract
Higher curvature f(R) gravity theories are often plagued with Ostragadsky instability. In this work we show that such instability manifests itself in the corresponding dual scalar tensor theory in the scalar sector Lagrangian. We explicitly demonstrate the correspondence between the instabilities that appear in an $f(R)$ model and its corresponding scalar tensor theory. Considering various forms of f(R) gravity this feature is illustrated for different choices of the parameters of the theory.
fields
gr-qc 1years
2024 1verdicts
REJECT 1representative citing papers
citing papers explorer
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Investigating the effects of gravitational lensing by Hu-Sawicki $\boldsymbol{f(R)}$ gravity black holes
For Hu-Sawicki f(R) black holes, the paper claims smaller critical impact parameters and negative deflection at large impact parameters than Schwarzschild, plus observables for Sgr A* and M87*, but the strong-lensing numbers are internally inconsistent.