1/r potential in higher dimensions
Abstract In Einstein gravity, gravitational potential goes as $$1/r^{d-3}$$ 1/rd-3 in d non-compactified spacetime dimensions, which assumes the familiar 1 / r form in four dimensions. On the other hand, it goes as $$1/r^{\alpha }$$ 1/rα , with $$\alpha =(d-2m-1)/m$$ α=(d-2m-1)/m , in pure Lovelock...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-01-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | http://link.springer.com/article/10.1140/epjc/s10052-018-5546-1 |
| _version_ | 1818237341076029440 |
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| author | Sumanta Chakraborty Naresh Dadhich |
| author_facet | Sumanta Chakraborty Naresh Dadhich |
| author_sort | Sumanta Chakraborty |
| collection | DOAJ |
| description | Abstract In Einstein gravity, gravitational potential goes as $$1/r^{d-3}$$ 1/rd-3 in d non-compactified spacetime dimensions, which assumes the familiar 1 / r form in four dimensions. On the other hand, it goes as $$1/r^{\alpha }$$ 1/rα , with $$\alpha =(d-2m-1)/m$$ α=(d-2m-1)/m , in pure Lovelock gravity involving only one mth order term of the Lovelock polynomial in the gravitational action. The latter offers a novel possibility of having 1 / r potential for the non-compactified dimension spectrum given by $$d=3m+1$$ d=3m+1 . Thus it turns out that in the two prototype gravitational settings of isolated objects, like black holes and the universe as a whole – cosmological models, the Einstein gravity in four and mth order pure Lovelock gravity in $$3m+1$$ 3m+1 dimensions behave in a similar fashion as far as gravitational interactions are considered. However propagation of gravitational waves (or the number of degrees of freedom) does indeed serve as a discriminator because it has two polarizations only in four dimensions. |
| first_indexed | 2024-12-12T12:24:13Z |
| format | Article |
| id | doaj.art-c3ca666571804c2a82af6969d1a23b53 |
| institution | Directory Open Access Journal |
| issn | 1434-6044 1434-6052 |
| language | English |
| last_indexed | 2024-12-12T12:24:13Z |
| publishDate | 2018-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-c3ca666571804c2a82af6969d1a23b532022-12-22T00:24:36ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522018-01-017811710.1140/epjc/s10052-018-5546-11/r potential in higher dimensionsSumanta Chakraborty0Naresh Dadhich1Department of Theoretical Physics, Indian Association for the Cultivation of ScienceIUCAAAbstract In Einstein gravity, gravitational potential goes as $$1/r^{d-3}$$ 1/rd-3 in d non-compactified spacetime dimensions, which assumes the familiar 1 / r form in four dimensions. On the other hand, it goes as $$1/r^{\alpha }$$ 1/rα , with $$\alpha =(d-2m-1)/m$$ α=(d-2m-1)/m , in pure Lovelock gravity involving only one mth order term of the Lovelock polynomial in the gravitational action. The latter offers a novel possibility of having 1 / r potential for the non-compactified dimension spectrum given by $$d=3m+1$$ d=3m+1 . Thus it turns out that in the two prototype gravitational settings of isolated objects, like black holes and the universe as a whole – cosmological models, the Einstein gravity in four and mth order pure Lovelock gravity in $$3m+1$$ 3m+1 dimensions behave in a similar fashion as far as gravitational interactions are considered. However propagation of gravitational waves (or the number of degrees of freedom) does indeed serve as a discriminator because it has two polarizations only in four dimensions.http://link.springer.com/article/10.1140/epjc/s10052-018-5546-1 |
| spellingShingle | Sumanta Chakraborty Naresh Dadhich 1/r potential in higher dimensions European Physical Journal C: Particles and Fields |
| title | 1/r potential in higher dimensions |
| title_full | 1/r potential in higher dimensions |
| title_fullStr | 1/r potential in higher dimensions |
| title_full_unstemmed | 1/r potential in higher dimensions |
| title_short | 1/r potential in higher dimensions |
| title_sort | 1 r potential in higher dimensions |
| url | http://link.springer.com/article/10.1140/epjc/s10052-018-5546-1 |
| work_keys_str_mv | AT sumantachakraborty 1rpotentialinhigherdimensions AT nareshdadhich 1rpotentialinhigherdimensions |