A semianalytic ΛCDM cluster model with angular momentum, dynamical friction, and external pressure produces a mass-temperature relation that mimics f(R) and symmetron predictions, weakening the MTR as a gravity probe.
The maximum sizes of large scale structures in alternative theories of gravity
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abstract
The maximum size of a cosmic structure is given by the maximum turnaround radius -- the scale where the attraction due to its mass is balanced by the repulsion due to dark energy. We derive generic formulae for the estimation of the maximum turnaround radius in any theory of gravity obeying the Einstein equivalence principle, in two situations: on a spherically symmetric spacetime and on a perturbed Friedman-Robertson-Walker spacetime. We show that the two formulae agree. As an application of our formula, we calculate the maximum turnaround radius in the case of the Brans-Dicke theory of gravity. We find that for this theory, such maximum sizes always lie above the \LCDM value, by a factor $1 + \frac{1}{3\omega}$, where $\omega\gg 1$ is the Brans-Dicke parameter, implying consistency of the theory with current data.
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2019 1verdicts
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Mass-Temperature relation in $\Lambda$CDM and modified gravity
A semianalytic ΛCDM cluster model with angular momentum, dynamical friction, and external pressure produces a mass-temperature relation that mimics f(R) and symmetron predictions, weakening the MTR as a gravity probe.