The Discovery of Accelerating Expansion of Universe 8.8 BillionYears after the Big Bang Vindicates M1 World One Out of the SixSolutions of Einstein’s General Theory of Relativity

Abstract

This paper gives the mathematical methodology (Tensor mathematics) of describing the surfaces of our Universe in General Theory of Relativity. It expresses the mass energy equivalence formula. It introduces the concept of time dilation, length contraction and mass increment in high speed frame of reference. Minowski space time 4D manifold is illustrated for representing the flat spacetime fabric Reimannian Metric is enumerated. Schwarzschild metric and how mass is accounted for is given. Warping of spacetime fabric (Geodetic Effect) and Frame-dragging is illustrated. General Relativistic Theory field equations mathematically modelling our Universe and their six solutions are given. Einstein solution is static solution. de-Sitter model is a non-static model with exponentially growing radius of our Universe. The third, fourth, fifth and sixth solution are enumerated. Friedmann predicted three major scenarios: M1 World scenario is Lemaitre scenario, M2 World solution evolves from non-zero radius to infinity , P-world solution shows periodic expansion and contraction. Two scenarios correspond to two degenerate roots: limiting case of P-World and the limiting case of M2 World. These two limiting cases are Eddington-Lemaitre cases. Perlmutter, Schmidt, and Riess jointly received the Nobel Prize in physics in 2011 for proving that Universe corresponds to M1 World which is expanding in decelerating manner for first 8.8 billion years and for the remaining 5 billion years Universe has expanded in accelerating fashion with an inflexion point (Cosmic Jerk) at 8.8 billion years after the Big Bang.