Classical Electrodynamics · Problem 12.18

Radiating Systems, Multipole Fields and Radiation — John David Jackson

Physics — E&M · electromagnetic-energy-momentum-4-vector

Problem

Prove, by means of the divergence theorem in four dimensions or otherwise, that for source-free electromagnetic fields confined to a finite region of space, the 3-space integrals of Θ00\Theta^{00} and Θ0i\Theta^{0i} transform as the components of a constant 4-vector, as implied by (12.106).

Related theory

Browse the problem library