Abstract
In the R+αR2 gravity theory, we show that if freely propagating massless particles have an almost isotropic distribution, then the spacetime is almost Friedmann-Robertson-Walker (frw). This extends the result proved recently in general relativity (α = 0), which is applicable to the microwave background after photon decoupling. The higher-order result is in principle applicable to a massless species that decouples in the early universe, such as a relic graviton background. Any future observations that show small anisotropies in such a background would imply that the geometry of the early universe were almostfrw.
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Taylor, D.R., Maartens, R. Almost-homogeneity of the universe in higher-order gravity. Gen Relat Gravit 27, 1309–1321 (1995). https://doi.org/10.1007/BF02153319
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DOI: https://doi.org/10.1007/BF02153319