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2014

New test of the FLRW metric using the distance sum rule

Rasanen, Syksy, Bolejko, Krzysztof, Finoguenov, Alexis

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We present a new test of the validity of the Friedmann-Lemaitre-Robertson-Walker (FLRW) metric, based on comparing the distance from redshift 0 to $z_1$ and from $z_1$ to $z_2$ to the distance from $0$ to $z_2$.

If the universe is described by the FLRW metric, the comparison provides a model-independent measurement of spatial curvature.
The test relies on geometrical optics, it is independent of the matter content of the universe and the applicability of the Einstein equation on cosmological scales.
We apply the test to observations, using the Union2.1 compilation of supernova distances and Sloan Lens ACS Survey galaxy strong lensing data.

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