Preprint Article Version 3 Preserved in Portico This version is not peer-reviewed

The Gravitational Mass of the Rarefied Cloud of the Relativistic Material Particles

Version 1 : Received: 18 May 2022 / Approved: 19 May 2022 / Online: 19 May 2022 (08:57:52 CEST)
Version 2 : Received: 6 August 2022 / Approved: 8 August 2022 / Online: 8 August 2022 (05:27:29 CEST)
Version 3 : Received: 23 January 2023 / Approved: 25 January 2023 / Online: 25 January 2023 (11:44:00 CET)

How to cite: Belayev, W. The Gravitational Mass of the Rarefied Cloud of the Relativistic Material Particles. Preprints 2022, 2022050257 (doi: 10.20944/preprints202205.0257.v3). Belayev, W. The Gravitational Mass of the Rarefied Cloud of the Relativistic Material Particles. Preprints 2022, 2022050257 (doi: 10.20944/preprints202205.0257.v3).

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, General & Theoretical Physics

Comments (1)

Comment 1
Received: 25 January 2023
Commenter: Wladimir Belayev
Commenter's Conflict of Interests: Author
Comment: In the first sentence after formula 21, "orthogonal" is replaced by "parallel".
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