Blandford-McKee GRB fireball: self-similar Γ²(R) ~ E/(ρc²R^(3-k)) blast wave

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Blandford-McKee framework — the canonical relativistic self-similar solution for an ultrarelativistic blast wave expanding into a uniform or wind-profile medium, foundational for gamma-ray-burst (GRB) afterglow theory (Blandford & McKee,…

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Method of characteristics
Blandford-McKee: Γ²(R) = 17E/(8πρc²R³); R_dec ~ E^(1/3); Γ²(2R)/Γ²(R) = 1/8

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