Electrovacuum geometries in five dimensions
arXiv:1809.01624 · doi:10.1103/PhysRevD.98.124042
Abstract
The Chong-Cvetic-Lu-Pope 5D rotating charged black hole proves to belong to a set of solutions to Einstein-Maxwell-Chern-Simons (EMCS) equations that share the electromagnetic potential and the Chern-Simons coupling constant but differ in the Kretschmann invariant. This one-parametric family of solutions is found by proposing a properly deformed Plebanski-Demianski Ansatz for modeling the metric tensor. While no black-hole solutions for other values of the Chern-Simons coupling constant are found within this Ansatz, another type of non-static electrovacuum solutions to 5D EMCS equations are obtained, namely Kundt spacetimes sourced by a pure-radiation field.
14 pages. Minor changes; comments and references added
References in corpus (7)
- General Kerr-NUT-AdS Metrics in All Dimensions
- Completely integrable sector in 5D Einstein-Maxwell gravity and derivation of the dipole black ring solutions
- Note on Rotating Charged Black Holes in Einstein-Maxwell-Chern-Simons Theory
- New Black Holes in Five Dimensions
- Charged Rotating AdS Black Holes with Chern-Simons coupling
- Charged rotating black holes in Einstein--Maxwell--Chern-Simons theory with a negative cosmological constant
- Non-expanding Plebanski-Demianski space-times