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On Conformally Flat Stationary Axisymmetric Spacetimes

Alberto A. Garcia·Cuauhtemoc Campuzano
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Abstract

It is shown that within conformally flat stationary axisymmetric spacetimes, besides of the static family, there exists a new class of metrics, which is always stationary and axisymmetric. All these spacetimes, the static and the stationary ones, are endowed with an arbitrary function depending on the two non--Killingian coordinates. The explicit form of this function can be determined once the coupled matter, i.e., the energy--momentum tensor is given. One might hope possible extensions of this result to black holes on two--branes in four dimensions.

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Alberto A. Garcia, Cuauhtemoc Campuzano. 2002-05-17. On Conformally Flat Stationary Axisymmetric Spacetimes. https://doi.org/10.1103/physrevd.66.124018%2010.1103%2Fphysrevd.68.049901

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