New algorithms to obtain analytical solutions of Einstein’s equations in isotropic coordinates
Abstract The main objective of this work, is to show two inequivalent methods to obtain new spherical symmetric solutions of Einstein’s Equations with anisotropy in the pressures in isotropic coordinates. This was done inspired by the MGD method, which is known to be valid for line elements in Schwa...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2019-12-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-019-7507-8 |
| _version_ | 1818384354961784832 |
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| author | Camilo Las Heras Pablo León |
| author_facet | Camilo Las Heras Pablo León |
| author_sort | Camilo Las Heras |
| collection | DOAJ |
| description | Abstract The main objective of this work, is to show two inequivalent methods to obtain new spherical symmetric solutions of Einstein’s Equations with anisotropy in the pressures in isotropic coordinates. This was done inspired by the MGD method, which is known to be valid for line elements in Schwarzschild coordinates. As example, we obtained four analytical solutions using Gold III as seed solution. Two solutions, out of four, (one for each algorithm), satisfy the physical acceptability conditions. |
| first_indexed | 2024-12-14T03:20:56Z |
| format | Article |
| id | doaj.art-903b7e3945dd4488b0f5859c502c4e2a |
| institution | Directory Open Access Journal |
| issn | 1434-6044 1434-6052 |
| language | English |
| last_indexed | 2024-12-14T03:20:56Z |
| publishDate | 2019-12-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-903b7e3945dd4488b0f5859c502c4e2a2022-12-21T23:19:01ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522019-12-01791211510.1140/epjc/s10052-019-7507-8New algorithms to obtain analytical solutions of Einstein’s equations in isotropic coordinatesCamilo Las Heras0Pablo León1Departamento de Física, Universidad de AntofagastaDepartamento de Física, Universidad de AntofagastaAbstract The main objective of this work, is to show two inequivalent methods to obtain new spherical symmetric solutions of Einstein’s Equations with anisotropy in the pressures in isotropic coordinates. This was done inspired by the MGD method, which is known to be valid for line elements in Schwarzschild coordinates. As example, we obtained four analytical solutions using Gold III as seed solution. Two solutions, out of four, (one for each algorithm), satisfy the physical acceptability conditions.https://doi.org/10.1140/epjc/s10052-019-7507-8 |
| spellingShingle | Camilo Las Heras Pablo León New algorithms to obtain analytical solutions of Einstein’s equations in isotropic coordinates European Physical Journal C: Particles and Fields |
| title | New algorithms to obtain analytical solutions of Einstein’s equations in isotropic coordinates |
| title_full | New algorithms to obtain analytical solutions of Einstein’s equations in isotropic coordinates |
| title_fullStr | New algorithms to obtain analytical solutions of Einstein’s equations in isotropic coordinates |
| title_full_unstemmed | New algorithms to obtain analytical solutions of Einstein’s equations in isotropic coordinates |
| title_short | New algorithms to obtain analytical solutions of Einstein’s equations in isotropic coordinates |
| title_sort | new algorithms to obtain analytical solutions of einstein s equations in isotropic coordinates |
| url | https://doi.org/10.1140/epjc/s10052-019-7507-8 |
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