Preprint
Article
Gravitational Mass of the Rarefied Cloud of Relativistic Material Particles
This version is not peer-reviewed.
Submitted:
06 August 2022
Posted:
08 August 2022
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Abstract
A cloud of relativistic material particles is considered, for which the distortions of length and time caused by the presence of the Lorentz factor an order of magnitude greater than curvature of space-time by gravity. The gravitational mass of the cloud is found in the region where its size is insignificant. It is established that the coefficient of dependence of the cloud mass on the total rest mass of its particles includes a complete elliptic integral of the 2nd kind.
Keywords:
Relativistic material particles
; active gravitational mass
; Lorentz transformations
; isotropic Schwarzschild metric
; geodesics equations
Copyright: This open access article is published under a Creative Commons CC BY 4.0 license, which permit the free download, distribution, and reuse, provided that the author and preprint are cited in any reuse.
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