{"title":"A hypercontinuous hypersmooth Schwarzschild line element transformation","authors":"R. Herrmann","doi":"10.1155/S0161171297000252","DOIUrl":null,"url":null,"abstract":"In this paper, a new derivation for one of the black hole line elements is given since \nthe basic derivation for this line element is flawed mathematically. This derivation postulates \na transformation procedure that utilizes a transformation function that is modeled by an ideal \nnonstandard physical world transformation process that yields a connection between an exterior \nSchwarzschild line element and distinctly different interior line element. The transformation is an \nideal transformation in that in the natural world the transformation is conceived of as occurring \nat an unknown moment in the evolution of a gravitationally collapsing spherical body with radius \ngreater than but near to the Schwarzsclfild radius. An ideal transformation models this transformation \nin a manner independent of the objects standard radius. It yields predicted behavior \nbased upon a Newtonian gravitational field prior to the transformation, predicted behavior after \nthe transformation for a field internal to the Schwarzschild surface and predicted behavior with \nrespect to field alteration processes during the transformation.","PeriodicalId":39893,"journal":{"name":"INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES","volume":"20 1","pages":"201-204"},"PeriodicalIF":1.0000,"publicationDate":"2003-11-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1155/S0161171297000252","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1155/S0161171297000252","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 2
Abstract
In this paper, a new derivation for one of the black hole line elements is given since
the basic derivation for this line element is flawed mathematically. This derivation postulates
a transformation procedure that utilizes a transformation function that is modeled by an ideal
nonstandard physical world transformation process that yields a connection between an exterior
Schwarzschild line element and distinctly different interior line element. The transformation is an
ideal transformation in that in the natural world the transformation is conceived of as occurring
at an unknown moment in the evolution of a gravitationally collapsing spherical body with radius
greater than but near to the Schwarzsclfild radius. An ideal transformation models this transformation
in a manner independent of the objects standard radius. It yields predicted behavior
based upon a Newtonian gravitational field prior to the transformation, predicted behavior after
the transformation for a field internal to the Schwarzschild surface and predicted behavior with
respect to field alteration processes during the transformation.
期刊介绍:
The International Journal of Mathematics and Mathematical Sciences is a refereed math journal devoted to publication of original research articles, research notes, and review articles, with emphasis on contributions to unsolved problems and open questions in mathematics and mathematical sciences. All areas listed on the cover of Mathematical Reviews, such as pure and applied mathematics, mathematical physics, theoretical mechanics, probability and mathematical statistics, and theoretical biology, are included within the scope of the International Journal of Mathematics and Mathematical Sciences.