For a flat matter-dominated universe this gives us:
13
式14: "z" left parenthesis, chi , "T" , right parenthesis equals StartFraction, "T" Superscript, 2 thirds , Baseline Over left parenthesis, "T" Superscript, 1 third , Baseline minus chi Superscript, 1 third , Baseline , right parenthesis squared , EndFraction minus 1 Superscript, , Baseline left parenthesis, chi Superscript, 1 third , Baseline less than "T" Superscript, 1 third , Baseline , right parenthesis 上添字を空にすることはできません。zχ,T=T23T13−χ132−1χ13<T13
14
The redshift drift is:
15
式16: "z" Subscript, "T" , Baseline prime left parenthesis, chi , "T" , right parenthesis equals StartFraction, ∂ "z" Over ∂ "T" , EndFraction left parenthesis, chi , "T" , right parenthesis '∂'記号を理解できません。zT′χ,T=∂z∂Tχ,T
16
Which gives us for a flat matter-dominated universe:
17
式18: "z" Subscript, "T" , Baseline prime left parenthesis, chi , "T" , right parenthesis equals StartFraction, 2 left parenthesis, StartNestedFraction, chi NestedOver "T" , EndNestedFraction , right parenthesis Superscript, 1 third , Baseline Over 3 left parenthesis, chi Superscript, 1 third , Baseline minus "T" Superscript, 1 third , Baseline , right parenthesis cubed , EndFraction left parenthesis, chi Superscript, 1 third , Baseline less than "T" Superscript, 1 third , Baseline , right parenthesis プライム記号の表記法は、関数の引数が1つだけの場合しか使えません。zT′χ,T=2χT133χ13−T133χ13<T13
18
As:
19
式20: chi Superscript, 1 third , Baseline less than "T" Superscript, StartFraction, 1 Superscript, , Baseline Over 3 , EndFraction , Baseline 上添字を空にすることはできません。χ13<T13
20
and
21
式22: chi greater than 0 Superscript, , Baseline 上添字を空にすることはできません。χ>0
22
式23: "T" Superscript, , Baseline greater than 0 上添字を空にすることはできません。T>0
23
The redshift drift is always negative for a flat matter-dominate universe, i.e.:
24
式25: "z" Subscript, "T" , Baseline prime left parenthesis, chi , "T" , right parenthesis less than 0 プライム記号の表記法は、関数の引数が1つだけの場合しか使えません。zT′χ,T<0
