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Article: Non-Euclidean geometry and gravitation.
- Article from:
- Progress in Physics
- Article date:
- April 1, 2006
- Author:
CopyrightCOPYRIGHT 2006 Progress in Physics. This material is published under license from the publisher through the Gale Group, Farmington Hills, Michigan. All inquiries regarding rights should be directed to the Gale Group. (Hide copyright information)
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A great deal of misunderstandings and mathematical errors are involved in the currently accepted theory of the gravitational field generated by an isotropic spherical mass. The purpose of the present paper is to provide a short account of the rigorous mathematical theory and exhibit a new formulation of the problem. The solution of the corresponding equations of gravitation points out several new and unusual features of the stationary gravitational field which are related to the non-Euclidean structure of the space. Moreover it precludes the black hole from being a mathematical and physical notion.
1 Introduction
If the structure of the spacetime is ...