Abstract
We derive the Kerr solution in a pedagogically transparent way, using physical symmetry and gauge arguments to reduce the candidate metric to just two unknowns. The resulting field equations are then easy to obtain, and solve. Separately, we transform the Kerr metric to Schwarzschild frame to exhibit its limits in that familiar setting.
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Deser, S., Franklin, J. De/re-constructing the Kerr metric. Gen Relativ Gravit 42, 2657–2662 (2010). https://doi.org/10.1007/s10714-010-1002-8
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DOI: https://doi.org/10.1007/s10714-010-1002-8