# A constante de hubble sera dada por h 8πg 3 ρ 12 de

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a constante de Hubble ser´a dada por H = 8 πG 3 ρ 1 2 de modo que ˙ ρ = - 3 ρ 8 πG 3 ρ 1 2 ou seja ρ - 3 2 ˙ ρ = - 24 πG 673
Como na equa¸c˜ ao (27.3), podemos identificar a constante de Hubble como: H ( t ) = ˙ a ( t ) a ( t ) A trajet´oria de uma gal´axia que se move junto com a expans˜ao do Uni- verso ´ e dada por ( r, θ, φ ) =constante, enquanto que a trajet´oria de um f´oton satisfaz ds 2 = c 2 dt 2 - d 2 = 0. Portanto, a distˆancia que um f´oton per-

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