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Table 1 The exact form of functions used to define models 1–9.

From: Supernova Ia observations in the Lemaître-Tolman model

Model

Pair of functions

model 1

t B = 0; ρ/ρ b = 0.5 + 0.2 cos(10-5πrMpc-1) + 0.5 cos2(10-5πrMpc-1)

model 2

t B = 0; ρ/ρ b = 0.4 + 0.6 cos(2 × 10-5πrMpc-1) + 1.8 cos2(2 × 10-5πrMpc-1)

model 3

t B = 0; ρ/ρ b = 1 + 0.4 cos(10-5πrMpc-1)

model 4

t B = 0; ρ/ρ b = 1 + (8 × 10-6rMpc-1)0.55

model 5

ρ/ρ b = 1;

 

H/H0 – not an analytic functions, see Fig. 4.1.2

model 6

t B = 0; H/H0 = 1

model 7

as in model 1

model 8

as in model 2

model 9

as in model 3