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V. B. Belayev; The gravitational mass of the rarefied cloud of the relativistic massive particles. AIP Conf. Proc. 28 September 2023; 2872 (1): 100001. https://doi.org/10.1063/5.0162971
V. B. Belayev; The gravitational mass of the rarefied cloud of the relativistic massive particles. AIP Conf. Proc. 28 September 2023; 2872 (1): 100001. https://doi.org/10.1063/5.0162971
V. B. Belayev; The gravitational mass of the rarefied cloud of the relativistic massive particles. AIP Conf. Proc. 28 September 2023; 2872 (1): 100001. https://doi.org/10.1063/5.0162971
V. B. Belayev; The gravitational mass of the rarefied cloud of the relativistic massive particles. AIP Conf. Proc. 28 September 2023; 2872 (1): 100001. https://doi.org/10.1063/5.0162971
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
Subject
Physical Sciences, Particle and Field Physics
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
