Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Maximal Mass Within Sphere,Repulsion,Black Holes and Some Implications

Version 1 : Received: 5 December 2023 / Approved: 6 December 2023 / Online: 6 December 2023 (07:17:29 CET)

How to cite: Shalyt-Margolin, A. Maximal Mass Within Sphere,Repulsion,Black Holes and Some Implications. Preprints 2023, 2023120339. https://doi.org/10.20944/preprints202312.0339.v1 Shalyt-Margolin, A. Maximal Mass Within Sphere,Repulsion,Black Holes and Some Implications. Preprints 2023, 2023120339. https://doi.org/10.20944/preprints202312.0339.v1

Abstract

This paper presents one of the approaches to solution of the problem of the repulsion origin in gravity. The approach is based on the property of compactness characteristic for a self-gravitating object in General Relativity. Here we understand compactness as estimation of the upper boundary for mass such an object in a static two--dimensional sphere. Repulsion originates when this boundary is violated. The main hypothesis is formulated in the form of the principle of maximal mass within a two-dimensional static sphere. It is demonstrated that the principle is true for Schwarzschild black holes on absorption of the matter in the process of accretion, both in the classical case and with due regard for quantum-gravitational corrections. The results have been extended to black holes with the Schwarzschild-de Sitter metric in the early Universe. The applicability of the principle suggested is analyzed for the early and for the present Universe.

Keywords

maximal mass principle; black holes; repulsion; cosmology

Subject

Physical Sciences, Space Science

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