Could be dark matter is just an anisotropic spacetime fabric?

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Simple idea. Based on physical observations something has gravity interraction only. However, if spacetime fabric is anisotropic then some locations will have time delay what will cause the gravity property. Also, It will be transparent for electromagnetic waves and will have gravity perturbation without any objects. Just because spacetime is anisotropic in universe.
Is any proof exists what spacetime is a homogeneous fabric and should have the same property everywhere?

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