Relativity and Cosmology

    

Energy-Momentum Relation in Curved Space-Time

Authors: Jesús Sánchez

In this paper, we will obtain a variation of the energy-momentum relation:E2=m2c4+p2c2To:E2=m2c4+p2c2-Rℏ2c2Where the R corresponds to the Ricci scalar curvature. In very small gravitational fields, the last element (which it can be considered a kind of dark energy) is almost neglectable. Anyhow, we will check the consequences of this in big gravitational fields and in the mass at rest, Klein-Gordon and Dirac equations. In fact, the value of this R has been found to be equal to the cosmological constant (both in the order of 1E-52) making it a perfect candidate for the Dark Energy.

Comments: 18 Pages.

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Submission history

[v1] 2023-12-29 22:43:31
[v2] 2024-02-10 07:57:19
[v3] 2024-08-14 17:46:21
[v4] 2025-02-22 11:51:10

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