An unexpected Minkowskian Solution of Einstein's Equation of General Relativity with Cosmological Constant

Details An unexpected Minkowskian Solution of Einstein's Equation of General Relativity with Cosmological Constant An unexpected Minkowskian Solution of Einstein's Equation of General Relativity with Cosmological Constant

2010-08-23

arxiv.org/abs/1009.1375v1

InterUniversity Institute for High Energies, IIHE-2010.02, August 2010, Pleinlaan, 1050 Bruxelles

Physics

General Physics

10 pages

Scientific paper

We suggest the following solution of Friedman's equations: parameter of curvature K=0, scale factor R(t)=1 and non-null Cosmological Constant(CC). In this case Robertson-Walker's metric becomes Minkowskian. This special solution of Einstein's equation of General Relativity forces therefore us into renormalizing Einstein's Special Relativity (SR) with non-null CC. By introducing a maximal interval (Hyperbolic Horizon), we deduce the law of Hubble and transform in this way SR into HCR (Hyperbolic Cosmological Relativity). Euclidean Einstein's rigid ruler is replaced with Lobatchevskian LIGHT-distance. Both basic parameters of Cosmology, H (Hubble) and q (acceleration) are deduced on the only basis of Lorentz Transformation. Usual ad hoc Lemaitre's scale factor R(t) is replaced with Bondi's "scale factor k". We induce a global principle of equivalence between centrifugal (hyperbolic) acceleration and repulsive gravitation. Hidden density of dark energy is a relativistic effect of globally curved Minkowski's space-time (minimal acceleration). We obtain in this way an unexpected relationship between Einstein's CC (1917) and Poincare's gravitational pressure (1905) of vacuum.

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