A generating technique constructs exact bumblebee gravity solutions from vacuum spacetimes by adding b_μ b_ν to the metric, yielding non-unique Kerr-Newman-Taub-NUT-(A)dS extensions limited by global field reality.
In this case functionsQandPare given by Q=a 2 +q 2 −2mr+r 2,(99) P=(1−x 2).(100) The bumblebee field is given by (72)-(73), and the metric is given by (62)
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Exact Kerr-Newman-(A)dS and other spacetimes in bumblebee gravity: employing a simple generating technique
A generating technique constructs exact bumblebee gravity solutions from vacuum spacetimes by adding b_μ b_ν to the metric, yielding non-unique Kerr-Newman-Taub-NUT-(A)dS extensions limited by global field reality.