Influence of a rigid vector field on the contribution to the tension of spacetime
We consider two situations: (i) a minimal vector field with a finite kinetic energy relative to its matter content and (ii) a zero-mass vector field whose kinetic energy is the same as the mass of its matter content. We study the influence of these two vectors on the tension of the cortex of the flat space-time. We compute the contribution to the tension of the cortex on the coordinate axes of the flat space-time, and we show that the contribution of the gravitational field to the tension of the cortex is suppressed by the absence of a zero-mass vector field. We show that the contribution of the gravitational field to the tension of the cortex is proportional to the square of the gravitational energy.