# De/re-constructing the Kerr metric

@article{Deser2010DereconstructingTK, title={De/re-constructing the Kerr metric}, author={Stanley Deser and J. S. Franklin}, journal={General Relativity and Gravitation}, year={2010}, volume={42}, pages={2657-2662} }

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.

## 3 Citations

Symmetric Criticality and Magnetic Monopoles in General Relativity

- Computer Science, PhysicsSymmetry
- 2019

An application of the Weyl method to a magnetically charged spherically symmetric source is considered, obtaining an incorrect geometry, which is surprising, because the same method, applied to electrically charged central bodies correctly produces the Reissner-Nordstrom spacetime.

The Kerr metric

- Physics
- 2015

This review describes the events leading up to the discovery of the Kerr metric in 1963 and the enormous impact the discovery has had in the subsequent 50 years. The review discusses the Penrose…

Popular scientific summary : Black holes could be gateways to the future

- 2018

The Schwarzschild metric and the Kerr metric describe the gravitational fields around static and rotating black holes, respectively. Here, we derive the Kerr metric in a simpler way than how it was…

## References

SHOWING 1-5 OF 5 REFERENCES

Maximal Analytic Extension of the Kerr Metric

- Physics
- 1967

Kruskal's transformation of the Schwarzschild metric is generalized to apply to the stationary, axially symmetric vacuum solution of Kerr, and is used to construct a maximal analytic extension of the…

COMMENT: Shortcuts to spherically symmetric solutions: a cautionary note

- Physics
- 2004

Spherically symmetric solutions of generic gravitational models are optimally, and legitimately, obtained by expressing the action in terms of the surviving metric components. This shortcut is not to…

Shortcuts to high symmetry solutions in gravitational theories

- Physics
- 2003

We apply the Weyl method, as sanctioned by Palais' symmetric criticality theorems, to obtain those—highly symmetric—geometries amenable to explicit solution, in generic gravitational models and…

Schwarzschild and Birkhoff a la Weyl

- Physics
- 2004

We provide a simple derivation of the Schwarzschild solution in general relativity based on an approach by Weyl, but generalized to include Birkhoff’s theorem. This theorem states that the…

The principle of symmetric criticality

- Mathematics
- 1979

It is frequently explicitly or implicitly assumed that if a variational principle is invariant under some symmetry groupG, then to test whether a symmetric field configuration ϕ is an extremal, it…