Relativity and Cosmology

    

On Uniformly-accelerated Motion in an Expanding Universe

Authors: Alireza Jamali

Null geodesics of a spacetime are a key factor in determining dynamics of particles. In this paper, it is argued that, within the scope of validity of Cosmological Principle where FLRW model can be safely employed, expansion of the Universe causes the null geodesics to accelerate, providing us with a universal acceleration scale a_0=cH_0. Since acceleration of null rays of spacetime corresponds to null rays of velocity space, demanding the invariance of acceleration of light a_0 yields a new metric for the velocity space which introduces time as a dimension of the velocity space. Being part of the configuration space, modification of distance measurements in velocity space alters the Euler-Lagrange equation and from there the equation of motion, Newton's Second Law. It is then seen that the resulting modification eliminates the need for Dark matter in clusters of galaxies and yields MOND as an approximation.

Comments: 6 Pages. This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License. Comments and objections are welcome.

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[v1] 2023-12-22 17:59:10

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