Yarman, Nuh TolgaKholmetskii, AlexanderMissevitch, OlegYarman, TolgaEnerji Sistemleri Mühendisliği / Energy Systems Engineering2024-05-252024-05-25201630015-90181572-951610.1007/s10701-015-9963-92-s2.0-84957438039https://doi.org/10.1007/s10701-015-9963-9https://hdl.handle.net/20.500.14517/168Yarman, Tolga/0000-0003-3209-2264We address to the Poynting theorem for the bound (velocity-dependent) electromagnetic field, and demonstrate that the standard expressions for the electromagnetic energy flux and related field momentum, in general, come into the contradiction with the relativistic transformation of four-vector of total energy-momentum. We show that this inconsistency stems from the incorrect application of Poynting theorem to a system of discrete point-like charges, when the terms of self-interaction in the product (where the current density and bound electric field are generated by the same source charge) are exogenously omitted. Implementing a transformation of the Poynting theorem to the form, where the terms of self-interaction are eliminated via Maxwell equations and vector calculus in a mathematically rigorous way (Kholmetskii et al., Phys Scr 83:055406, 2011), we obtained a novel expression for field momentum, which is fully compatible with the Lorentz transformation for total energy-momentum. The results obtained are discussed along with the novel expression for the electromagnetic energy-momentum tensor.eninfo:eu-repo/semantics/closedAccessClassical electrodynamicsElectromagnetic energy-momentum tensorPoynting theoremRelativistic transformation of energy-momentumArticleQ3Q2462236261WOS:000369316100005