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 |
| Published: |
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 |
| Summary: | 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. |
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| ISSN: | 1434-6044 1434-6052 |