On ‘rotating charged AdS solutions in quadratic f(T) gravity’: new rotating solutions
Abstract We show that there are two or more procedures to generalize the known four-dimensional transformation, aiming to generate cylindrically rotating charged exact solutions, to higher dimensional spacetimes . In the one procedure, presented in Eur. Phys. J. C (2019) 79:668, one uses a non-trivi...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2020-10-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | http://link.springer.com/article/10.1140/epjc/s10052-020-08566-8 |
| Summary: | Abstract We show that there are two or more procedures to generalize the known four-dimensional transformation, aiming to generate cylindrically rotating charged exact solutions, to higher dimensional spacetimes . In the one procedure, presented in Eur. Phys. J. C (2019) 79:668, one uses a non-trivial, non-diagonal, Minkowskian metric $$\bar{\eta }_{ij}$$ η ¯ ij to derive complicated rotating solutions. In the other procedure, discussed in this work, one selects a diagonal Minkowskian metric $${\eta }_{ij}$$ η ij to derive much simpler and appealing rotating solutions. We also show that if ( $$g_{\mu \nu },\,\eta _{ij}$$ g μ ν , η ij ) is a rotating solution then ( $$\bar{g}_{\mu \nu },\,\bar{\eta }_{ij}$$ g ¯ μ ν , η ¯ ij ) is a rotating solution too with similar geometrical properties, provided $$\bar{\eta }_{ij}$$ η ¯ ij and $${\eta }_{ij}$$ η ij are related by a symmetric matrix R: $$\bar{\eta }_{ij}={\eta }_{ik}R_{kj}$$ η ¯ ij = η ik R kj . |
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| ISSN: | 1434-6044 1434-6052 |