 Indeed, in the next Kasner epoch this parameter has the value "u"' = "u" − 1, and Λ is substituted according to with Λ' = Λ(1 − 2|"p"1("u")|).Therefore, the ratio of 2 consecutive maxima is

and finally

The above are solutions to Einstein equations in vacuum.As for the pure Kasner mode, matter does not change the qualitative properties of this solution and can be written into it disregarding its reaction on the field.