The Palatini star: exact solutions of the modified Lane–Emden equation
Abstract Two exact solutions for $$n=0$$ n=0 and $$n=1$$ n=1 of the Palatini-modified Lane–Emden equation are found. We have employed these solutions to describe a Palatini–Newtonian neutron or low mass brown dwarf star and compared the result with the pure Newtonian counterpart. It turned out that...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2020-04-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | http://link.springer.com/article/10.1140/epjc/s10052-020-7876-z |
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doaj-f2a426e27c1c405a8a183dde5b03dbd22020-11-25T02:28:54ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522020-04-018041610.1140/epjc/s10052-020-7876-zThe Palatini star: exact solutions of the modified Lane–Emden equationArtur Sergyeyev0Aneta Wojnar1Mathematical Institute, Silesian University in OpavaNúcleo Cosmo-ufes and PPGCosmo, Universidade Federal do Espírito SantoAbstract Two exact solutions for $$n=0$$ n=0 and $$n=1$$ n=1 of the Palatini-modified Lane–Emden equation are found. We have employed these solutions to describe a Palatini–Newtonian neutron or low mass brown dwarf star and compared the result with the pure Newtonian counterpart. It turned out that for the negative parameter of the Starobinsky model the star is heavier and larger.http://link.springer.com/article/10.1140/epjc/s10052-020-7876-z |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Artur Sergyeyev Aneta Wojnar |
| spellingShingle |
Artur Sergyeyev Aneta Wojnar The Palatini star: exact solutions of the modified Lane–Emden equation European Physical Journal C: Particles and Fields |
| author_facet |
Artur Sergyeyev Aneta Wojnar |
| author_sort |
Artur Sergyeyev |
| title |
The Palatini star: exact solutions of the modified Lane–Emden equation |
| title_short |
The Palatini star: exact solutions of the modified Lane–Emden equation |
| title_full |
The Palatini star: exact solutions of the modified Lane–Emden equation |
| title_fullStr |
The Palatini star: exact solutions of the modified Lane–Emden equation |
| title_full_unstemmed |
The Palatini star: exact solutions of the modified Lane–Emden equation |
| title_sort |
palatini star: exact solutions of the modified lane–emden equation |
| publisher |
SpringerOpen |
| series |
European Physical Journal C: Particles and Fields |
| issn |
1434-6044 1434-6052 |
| publishDate |
2020-04-01 |
| description |
Abstract Two exact solutions for $$n=0$$ n=0 and $$n=1$$ n=1 of the Palatini-modified Lane–Emden equation are found. We have employed these solutions to describe a Palatini–Newtonian neutron or low mass brown dwarf star and compared the result with the pure Newtonian counterpart. It turned out that for the negative parameter of the Starobinsky model the star is heavier and larger. |
| url |
http://link.springer.com/article/10.1140/epjc/s10052-020-7876-z |
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