A hypercontinuous hypersmooth Schwarzschild line element transformation
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 w...
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| Format: | Article |
| Language: | English |
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Wiley
1997-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171297000252 |
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| author | Robert A. Herrmann |
| author_facet | Robert A. Herrmann |
| author_sort | Robert A. Herrmann |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-04add0248bef4e34a075a68f2c8e1914 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1997-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-04add0248bef4e34a075a68f2c8e19142025-02-03T07:25:12ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251997-01-0120120120410.1155/S0161171297000252A hypercontinuous hypersmooth Schwarzschild line element transformationRobert A. Herrmann0Mathematics Department, United States Naval Academy, 572 Holloway Rd., Annapolis 21402-5002, MD, USAIn 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.http://dx.doi.org/10.1155/S0161171297000252Eddington-Finkelstein transformationhypercontinuoushypersmooth black hole metricnonstandard analysisnonstandard substratum. |
| spellingShingle | Robert A. Herrmann A hypercontinuous hypersmooth Schwarzschild line element transformation International Journal of Mathematics and Mathematical Sciences Eddington-Finkelstein transformation hypercontinuous hypersmooth black hole metric nonstandard analysis nonstandard substratum. |
| title | A hypercontinuous hypersmooth Schwarzschild line element transformation |
| title_full | A hypercontinuous hypersmooth Schwarzschild line element transformation |
| title_fullStr | A hypercontinuous hypersmooth Schwarzschild line element transformation |
| title_full_unstemmed | A hypercontinuous hypersmooth Schwarzschild line element transformation |
| title_short | A hypercontinuous hypersmooth Schwarzschild line element transformation |
| title_sort | hypercontinuous hypersmooth schwarzschild line element transformation |
| topic | Eddington-Finkelstein transformation hypercontinuous hypersmooth black hole metric nonstandard analysis nonstandard substratum. |
| url | http://dx.doi.org/10.1155/S0161171297000252 |
| work_keys_str_mv | AT robertaherrmann ahypercontinuoushypersmoothschwarzschildlineelementtransformation AT robertaherrmann hypercontinuoushypersmoothschwarzschildlineelementtransformation |