{"title":"Foundations of the Theory of Gravity with a Constraint. Gravitational Energy of Macroscopic Bodies","authors":"Alexander P. Sobolev, Aleksey Sobolev","doi":"10.1007/s10773-024-05723-7","DOIUrl":null,"url":null,"abstract":"<p>This paper considers a set of equations describing the static isotropic gravitational field of a macroscopic body within the framework of the theory of gravity with a constraint. It is shown that for any static solid body, the energy of the gravitational field created by it is equal in magnitude to its rest energy, and the energy density defined in this theory is positive everywhere. A general approximate solution of the gravitational field equations is obtained. A nonsingular solution exists only at certain values for the three integration constants. The out-of-body metric coincides with the Schwarzschild metric, but unlike the general relativity theory (GR), the curvature tensor invariants have a certain finite value everywhere. It is claimed that a generally covariant theory of gravity, constructed on the basis of GR, is not physical since it violates the principle of material unity of the world.</p>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":null,"pages":null},"PeriodicalIF":1.3000,"publicationDate":"2024-08-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Theoretical Physics","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1007/s10773-024-05723-7","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
Abstract
This paper considers a set of equations describing the static isotropic gravitational field of a macroscopic body within the framework of the theory of gravity with a constraint. It is shown that for any static solid body, the energy of the gravitational field created by it is equal in magnitude to its rest energy, and the energy density defined in this theory is positive everywhere. A general approximate solution of the gravitational field equations is obtained. A nonsingular solution exists only at certain values for the three integration constants. The out-of-body metric coincides with the Schwarzschild metric, but unlike the general relativity theory (GR), the curvature tensor invariants have a certain finite value everywhere. It is claimed that a generally covariant theory of gravity, constructed on the basis of GR, is not physical since it violates the principle of material unity of the world.
期刊介绍:
International Journal of Theoretical Physics publishes original research and reviews in theoretical physics and neighboring fields. Dedicated to the unification of the latest physics research, this journal seeks to map the direction of future research by original work in traditional physics like general relativity, quantum theory with relativistic quantum field theory,as used in particle physics, and by fresh inquiry into quantum measurement theory, and other similarly fundamental areas, e.g. quantum geometry and quantum logic, etc.