The observed cosmological constant intrinsically appears in the Einstein’s field equations as the galactic gravitational self-energy density

The modeled universe contained identical galaxies and was described by the FRLW metric perturbation using the gauge-invariant Bardeen’s scalar φ potentials. The Einstein field equations were solved to the second potential order, and the impact of the intra-bulge dust rotation was analyzed. The diagonal Einstein spatial field equations exhibited the subtraction of a second-order term. This term corresponded to a time-dependent cosmological constant Λ in the reference frame comoving with the galaxies positions. At the current epoch its value is related to the gravitational self-energy density via the relation: Λ ≈ - 8/ 3 min( φ ∆ φ) . Using a Gaussian spherical dust distribution of 4× 10 ¹⁰ M _Ꙩ repeated at the nodes of a 3D-lattice, the observed cosmological constant value was reproduced by fitting its fwhm to 10570 ly , no other adjustable parameters were used. This mass and this fwhm are representative to bulges observations. This approach opens a new track of research to explain the origin of the cosmological constant, and of the Hubble tension, within the framework of pure general relativity.