For the magnetic field one obtains B x ′ = F 2 ′ 3 ′ = Λ Λ 2 μ μ Λ Λ 3 ν ν F μ μ ν ν = Λ Λ 2 2 Λ Λ 3 3 F 23 = 1 × × 1 × × B x = B x , B y ′ = F 3 ′ 1 ′ = Λ Λ 3 μ μ Λ Λ 1 ν ν F μ μ ν ν = Λ Λ 3 3 Λ Λ 1 ν ν F 3 ν ν = Λ Λ 3 3 Λ Λ 1 0 F 30 + Λ Λ 3 3 Λ Λ 1 1 F 31 = 1 × × ( − − β β γ γ ) ( − − E z ) + 1 × × γ γ B y = γ γ B y + β β γ γ E z = γ γ ( B − − β β × × E ) y B z ′ = F 1 ′ 2 ′ = Λ Λ 1 μ μ Λ Λ 2 ν ν F μ μ ν ν = Λ Λ 1 μ μ Λ Λ 2 2 F μ μ 2 = Λ Λ 1 0 Λ Λ 2 2 F 02 + Λ Λ 1 1 Λ Λ 2 2 F 12 = ( − − γ γ β β ) × × 1 × × E y + γ γ × × 1 × × B z = γ γ B z − − β β γ γ E y = γ γ ( B − − β β × × E ) z