Electromagnetic momentum equation

The momentum equation states local momentum conservation for electrodynamics. The rate at which momentum leaves charged matter in $Ω$ equals the rate ofd

𝑑 ⃗ 𝐩 Ω 𝑑 𝑡 = - 𝑑 𝑑 𝑡 ∭ Ω ⃗ 𝐠 𝑑 𝜏 + \subset \supset \iint 𝜕 Ω 𝐓 𝑑 ⃗ 𝐚

where $⃗ 𝐠$ is momentum density $𝐓$ is the Maxwell stress tensor

𝑇 𝑖 𝑗 = 𝜖 0 (𝐸 𝑖 𝐸 𝑗 - 12 𝛿 𝑖 𝑗 𝐸 2) + 1 𝜇 0 (𝐵 𝑖 𝐵 𝑗 - 12 𝛿 𝑖 𝑗 𝐵 2)

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