Cosmological constant as integration constant

Astronomy and Astrophysics – Astronomy

Scientific paper

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Black Holes (Astronomy), Cosmology, Einstein Equations, Elementary Particles, Field Theory (Physics), Numerical Integration, Curvature, Gravitational Fields, Riemann Manifold

Scientific paper

Einstein's field theory of elementary particles (Einstein 1919) yields black holes with a mass M approximately G-1 Lambda-1/2 c2 and a charge Q approximately G-1/2 Lambda-1/2 c2, their curvature radius is Lambda-1/2. Here Lambda is an integration constant of Einstein's 'trace-less' gravitation equations. The choice Lambda = G-1 h-1 c3 for this constant defines Planck ions and implies 'strong-gravity'. The choice Lambda = lambda = 3Hinf exp 2 c-2 (where Hinf means the Hubble parameter of a final de Sitter cosmos) involves 'weak-gravity' and describes an electro-vac spherical universe.

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