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Constraining models of $f(R)$ gravity with Planck and WiggleZ power spectrum data
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abstract
In order to explain cosmic acceleration without invoking "dark" physics, we consider $f(R)$ modified gravity models, which replace the standard Einstein-Hilbert action in General Relativity with a higher derivative theory. We use data from the WiggleZ Dark Energy survey to probe the formation of structure on large scales which can place tight constraints on these models. We combine the large-scale structure data with measurements of the cosmic microwave background from the Planck surveyor. After parameterising the modification of the action using the Compton wavelength parameter $B_0$, we constrain this parameter using ISiTGR, assuming an initial non-informative log prior probability distribution of this cross-over scale. We find that the addition of the WiggleZ power spectrum provides the tightest constraints to date on $B_0$ by an order of magnitude, giving ${\rm log}_{10}(B_0) < -4.07$ at 95% confidence limit. Finally, we test whether the effect of adding the lensing amplitude $A_{\rm Lens}$ and the sum of the neutrino mass $\sum m_\nu$ is able to reconcile current tensions present in these parameters, but find $f(R)$ gravity an inadequate explanation.
Forward citations
Cited by 5 Pith papers
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In two f(R) gravity models, a specific matter-curvature interaction shifts the fixed points and can create stable late-time accelerating attractors, but the attractors appear only for parameter values outside the mode...
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Cosmological Viability of Exponential Infrared $f(T)$ Gravity
Exponential IR f(T) gravity Model I alleviates Hubble tension but is disfavoured by combined Planck/ACT/SPT+DESI+Pantheon+ data; Model II is ruled out because background constraints force unphysical shifts in CMB parameters.
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Galaxy formation in modified gravity -- II. galaxy halo connection and assembly bias
Simulations in f(R) gravity show that environment density in the HOD model reduces assembly bias effects to 2-3% at z≲0.5 in both ΛCDM and modified gravity.
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Forecast on $f(R)$ Gravity with HI 21cm Intensity Mapping Surveys
Fisher forecasts show BINGO and SKA1-MID 21-cm intensity mapping, combined with Planck priors, could constrain the f(R) gravity parameter B0 down to ~10⁻⁶–10⁻⁸.
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