Lagrangian formulation of Newtonian cosmology
In this paper, we use the Lagrangian formalism of classical mechanics and some assumptions to obtain cosmological differential equations analogous to Friedmann and Einstein equations, obtained from the theory of general relativity. This method can be used to a universe constituted of incoherent matt...
| Main Authors: | , |
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| Format: | Article |
| Language: | Portuguese |
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Sociedade Brasileira de Física
2014-09-01
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| Series: | Revista Brasileira de Ensino de Física |
| Subjects: | |
| Online Access: | http://www.scielo.br/pdf/rbef/v36n3/10.pdf |
| _version_ | 1818750038483927040 |
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| author | H.S. Vieira V.B. Bezerra |
| author_facet | H.S. Vieira V.B. Bezerra |
| author_sort | H.S. Vieira |
| collection | DOAJ |
| description | In this paper, we use the Lagrangian formalism of classical mechanics and some assumptions to obtain cosmological differential equations analogous to Friedmann and Einstein equations, obtained from the theory of general relativity. This method can be used to a universe constituted of incoherent matter, that is, the cosmologic substratum is comprised of dust. |
| first_indexed | 2024-12-18T04:13:19Z |
| format | Article |
| id | doaj.art-454f9d57bcc246f18cf3fdf51e960707 |
| institution | Directory Open Access Journal |
| issn | 1806-9126 |
| language | Portuguese |
| last_indexed | 2024-12-18T04:13:19Z |
| publishDate | 2014-09-01 |
| publisher | Sociedade Brasileira de Física |
| record_format | Article |
| series | Revista Brasileira de Ensino de Física |
| spelling | doaj.art-454f9d57bcc246f18cf3fdf51e9607072022-12-21T21:21:26ZporSociedade Brasileira de FísicaRevista Brasileira de Ensino de Física1806-91262014-09-0136310.1590/S1806-11172014000300010Lagrangian formulation of Newtonian cosmologyH.S. Vieira0V.B. Bezerra1Universidade Federal da ParaíbaUniversidade Federal da ParaíbaIn this paper, we use the Lagrangian formalism of classical mechanics and some assumptions to obtain cosmological differential equations analogous to Friedmann and Einstein equations, obtained from the theory of general relativity. This method can be used to a universe constituted of incoherent matter, that is, the cosmologic substratum is comprised of dust.http://www.scielo.br/pdf/rbef/v36n3/10.pdftotal energycosmological equationsdust cloud |
| spellingShingle | H.S. Vieira V.B. Bezerra Lagrangian formulation of Newtonian cosmology Revista Brasileira de Ensino de Física total energy cosmological equations dust cloud |
| title | Lagrangian formulation of Newtonian cosmology |
| title_full | Lagrangian formulation of Newtonian cosmology |
| title_fullStr | Lagrangian formulation of Newtonian cosmology |
| title_full_unstemmed | Lagrangian formulation of Newtonian cosmology |
| title_short | Lagrangian formulation of Newtonian cosmology |
| title_sort | lagrangian formulation of newtonian cosmology |
| topic | total energy cosmological equations dust cloud |
| url | http://www.scielo.br/pdf/rbef/v36n3/10.pdf |
| work_keys_str_mv | AT hsvieira lagrangianformulationofnewtoniancosmology AT vbbezerra lagrangianformulationofnewtoniancosmology |