A note on the Kerr-Newman metric in five dimensions

Abstract

We derive an ansatz for the five dimensional equal-rotation Kerr-Newman metric that contains two unknown functions. By solving for these functions through perturbation series, we find that the metric can be cast into the Kerr-Shild form in a background that is flat at the spatial infinity.

13 pages, fixing a loophole in the original version of the paper

References in corpus (4)

• TianQin: a space-borne gravitational wave detector
• Rotating Black Holes in Higher Dimensional Einstein-Maxwell Gravity
• Charged Rotating Black Holes in Odd Dimensions
• The not-so-nonlinear nonlinearity of Einstein's equation

Cited by in corpus (2)

• Charged rotating black holes at large D
• On well-posedness and algebraic type of the five-dimensional charged rotating black hole with two equal-magnitude angular momenta