Kodama-Schwarzschild versus Gaussian Normal Coordinates Picture of Thin Shells
Geometry of the spacetime with a spherical shell embedded in it is studied in two coordinate systems: Kodama-Schwarzschild coordinates and Gaussian normal coordinates. We find explicit coordinate transformation between the Kodama-Schwarzschild and Gaussian normal coordinate systems. We show that pro...
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| Format: | Article |
| Language: | English |
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Wiley
2016-01-01
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| Series: | Advances in High Energy Physics |
| Online Access: | http://dx.doi.org/10.1155/2016/5632734 |
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| _version_ | 1832552537883934720 |
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| author | Mikhail Z. Iofa |
| author_facet | Mikhail Z. Iofa |
| author_sort | Mikhail Z. Iofa |
| collection | DOAJ |
| description | Geometry of the spacetime with a spherical shell embedded in it is studied in two coordinate systems: Kodama-Schwarzschild coordinates and Gaussian normal coordinates. We find explicit coordinate transformation between the Kodama-Schwarzschild and Gaussian normal coordinate systems. We show that projections of the metrics on the surface swept by the shell in the 4D spacetime in both cases are identical. In the general case of time-dependent metrics we calculate extrinsic curvatures of the shell in both coordinate systems and show that the results are identical. Applications to the Israel junction conditions are discussed. |
| format | Article |
| id | doaj-art-e8de8500516a4f139c2dff114f1616f6 |
| institution | Kabale University |
| issn | 1687-7357 1687-7365 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in High Energy Physics |
| spelling | doaj-art-e8de8500516a4f139c2dff114f1616f62025-02-03T05:58:32ZengWileyAdvances in High Energy Physics1687-73571687-73652016-01-01201610.1155/2016/56327345632734Kodama-Schwarzschild versus Gaussian Normal Coordinates Picture of Thin ShellsMikhail Z. Iofa0Skobeltsyn Institute of Nuclear Physics, Moscow State University, Moscow 119991, RussiaGeometry of the spacetime with a spherical shell embedded in it is studied in two coordinate systems: Kodama-Schwarzschild coordinates and Gaussian normal coordinates. We find explicit coordinate transformation between the Kodama-Schwarzschild and Gaussian normal coordinate systems. We show that projections of the metrics on the surface swept by the shell in the 4D spacetime in both cases are identical. In the general case of time-dependent metrics we calculate extrinsic curvatures of the shell in both coordinate systems and show that the results are identical. Applications to the Israel junction conditions are discussed.http://dx.doi.org/10.1155/2016/5632734 |
| spellingShingle | Mikhail Z. Iofa Kodama-Schwarzschild versus Gaussian Normal Coordinates Picture of Thin Shells Advances in High Energy Physics |
| title | Kodama-Schwarzschild versus Gaussian Normal Coordinates Picture of Thin Shells |
| title_full | Kodama-Schwarzschild versus Gaussian Normal Coordinates Picture of Thin Shells |
| title_fullStr | Kodama-Schwarzschild versus Gaussian Normal Coordinates Picture of Thin Shells |
| title_full_unstemmed | Kodama-Schwarzschild versus Gaussian Normal Coordinates Picture of Thin Shells |
| title_short | Kodama-Schwarzschild versus Gaussian Normal Coordinates Picture of Thin Shells |
| title_sort | kodama schwarzschild versus gaussian normal coordinates picture of thin shells |
| url | http://dx.doi.org/10.1155/2016/5632734 |
| work_keys_str_mv | AT mikhailziofa kodamaschwarzschildversusgaussiannormalcoordinatespictureofthinshells |