Tensor Potential Description of Matter and Space, II Semi-guage and the Law of Conservation

Boris Hikin

paper

Tensor Potential Description of Matter and Space, II Semi-guage and the Law of Conservation

arXiv:gr-qc/0609082

Abstract

Considered a unified field theory approach describing matter and space (metric tensor) by means of a 3-index tensor $P_{j k}^{i}$ . It is shown that if the Lagrangian has partial U(1) gauge (semi-gauge) of the type $P_{j k}^{i} - > P_{j k}^{i} + a δ_{j}^{i} ϕ_{, k} + b δ_{k}^{i} ϕ_{, j} + c g_{j k} g^{mi} ϕ_{, m}$ where a,b,c are constants, then the Euler equations of motion contain the covariant low of conservation in the form $J_{; k}^{k} = 0$ .

arXiv comment9 pages