Derivation of Dark Matter, Dark Energy and the Cosmological Constant as Features of Space-Time

*PETER H. HANDEL, KLARA E. SPLETT, *University of Missouri-St. Louis — Einstein's equation contains gravitational field potentials g_mn on bot sides. As we showed [1], this caused ballooning of gravitational field energy and mass to about five time the ordinary matter of all observable universe. We identify this mainly self-sourced coherent gravitational field energy and mass as universal dark matter (DM). It attaches to any classically derived Newtonian gravitational field g a DM density r=lgg'²=1.39g 10^-16 g/cm³. The Tully-Fisher relations fix the numerical value of this DM key. g'² symbolizes the energy density of the coherent gravitational field of the observable universe (OU). The resulting DM cumulative galactic halo mass M< increases linearly with the distance r from the galactic center. It keeps the orbital speed of stars and gas constant. For a flat OU our DM key yields [2] a Lambda of 1.08^.10^-56 cm^-2 and a dark energy density of 5.8^.10^-30 g/cm³. These are in good agreement with the observed dark energy density value known to be r_L =5.96 10^-30 g/cm³.

[1] P. H. Handel and K. E. Splett, Calculation of dark matter as feature of space-time, "Foundations of Physics" 2023, DOI 10.1007/s10701-023-00705-x

[2] P. H. Handel and K. E. Splett, Derivation of dark matter, dark energy and the cosmological constant as features of space-time, submitted to Phys. Rev., 2023