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Title: Conformal Killing-Yano tensors for the Plebanski-Demianski family of solutions

Journal Article · · Physical Review. D, Particles Fields
 [1];  [2]
  1. Theoretical Physics Institute, University of Alberta, Edmonton, Alberta, T6G 2G7 (Canada)
  2. Institute of Theoretical Physics, Charles University, V Holesovickach 2, Prague (Czech Republic)

We present explicit expressions for the conformal Killing-Yano tensors for the Plebanski-Demianski family of type D solutions in four dimensions. Some physically important special cases are discussed in more detail. In particular, it is demonstrated how the conformal Killing-Yano tensor becomes the Killing-Yano tensor for the solutions without acceleration. A possible generalization into higher dimensions is studied. Whereas the transition from the nonaccelerating to accelerating solutions in four dimensions is achieved by the conformal rescaling of the metric, we show that such a procedure is not sufficiently general in higher dimensions - only the maximally symmetric spacetimes in 'accelerated' coordinates are obtained.

OSTI ID:
21032483
Journal Information:
Physical Review. D, Particles Fields, Vol. 76, Issue 8; Other Information: DOI: 10.1103/PhysRevD.76.084036; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
Country of Publication:
United States
Language:
English