Metric of the Universe: Emergent gravity from a contracting universe

A new metric is derived using cosmological principle, employing the same method as adopted by many authors but by paying closer attention to few hidden assumptions. When solved in weak field limit for space-time around a central mass, the metric gives Newton's gravitational equation. The complete relativistic equation for gravitational acceleration is little different from the one derived using Schwarzschild metric, still all classical GR phenomena such as perihelion precession of Mercury and bending of star light near the Sun are explained. It is argued that spatial curvature is not absolute but rather depends on the frame of reference. Using this new insight, rotational velocity of a star as a function of galactic mass and distance from the galactic center is calculated. It matches MOND equation at sufficient large distances, reduces to Newtonian equations at close range and charts a non-linear wave function in-between. Key observations of cosmology are discussed and it is shown that new model can explain all those with same accuracy or better than the current model without employing any unknowns like dark matter or dark energy