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De/re-constructing the Kerr metric

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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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References

  1. R. Kerr, Phys. Rev. Lett. 11, 237–238 (1963). For current studies, see J. Plebanski & A. Krasinski, An Introduction to General Relativity and Cosmology, Cambridge University Press, 2006; D. Wiltshire, M. Visser, & S. Scott (eds.), The Kerr SpaceTime: Rotating Black Holes in General Relativity, Cambridge University Press, 2009.

  2. Palais R.S.: Commun. Math. Phys. 69, 19–30 (1979)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  3. Boyer R., Lindquist R.: J. Math. Phys. 8(2), 265–281 (1967)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  4. Deser, S., Tekin, B.: Class. Quant. Grav. 20 (2003) 4877–4884. gr-qc/0306114

  5. Deser, S., Franklin, J.: Am. J. Phys. 73(3) (2005) 261–264. gr-qc/0408067

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  6. Deser, S., Franklin, J., Tekin, B.: Class. Quant. Grav. 21 (2004) 5295–5296. gr-qc/0404120

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Correspondence to S. Deser.

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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

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