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28 March 2024
 
  » arxiv » gr-qc/0205080

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On Conformally Flat Stationary Axisymmetric Spacetimes
Alberto A. Garcia ; Cuauhtemoc Campuzano ;
Date 18 May 2002
Journal Phys.Rev. D66 (2002) 124018; Erratum-ibid. D68 (2003) 049901
Subject gr-qc
AbstractIt 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.
Source arXiv, gr-qc/0205080
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