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

Abstract

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.

Authors:
 [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)
Publication Date:
OSTI Identifier:
21032483
Resource Type:
Journal Article
Journal Name:
Physical Review. D, Particles Fields
Additional Journal Information:
Journal Volume: 76; Journal Issue: 8; Other Information: DOI: 10.1103/PhysRevD.76.084036; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0556-2821
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ACCELERATION; CONFORMAL INVARIANCE; COORDINATES; COSMOLOGY; KERR METRIC; MATHEMATICAL SOLUTIONS; SPACE-TIME; TENSORS

Citation Formats

Kubiznak, David, Institute of Theoretical Physics, Charles University, V Holesovickach 2, Prague, and Krtous, Pavel. Conformal Killing-Yano tensors for the Plebanski-Demianski family of solutions. United States: N. p., 2007. Web. doi:10.1103/PHYSREVD.76.084036.
Kubiznak, David, Institute of Theoretical Physics, Charles University, V Holesovickach 2, Prague, & Krtous, Pavel. Conformal Killing-Yano tensors for the Plebanski-Demianski family of solutions. United States. https://doi.org/10.1103/PHYSREVD.76.084036
Kubiznak, David, Institute of Theoretical Physics, Charles University, V Holesovickach 2, Prague, and Krtous, Pavel. 2007. "Conformal Killing-Yano tensors for the Plebanski-Demianski family of solutions". United States. https://doi.org/10.1103/PHYSREVD.76.084036.
@article{osti_21032483,
title = {Conformal Killing-Yano tensors for the Plebanski-Demianski family of solutions},
author = {Kubiznak, David and Institute of Theoretical Physics, Charles University, V Holesovickach 2, Prague and Krtous, Pavel},
abstractNote = {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.},
doi = {10.1103/PHYSREVD.76.084036},
url = {https://www.osti.gov/biblio/21032483}, journal = {Physical Review. D, Particles Fields},
issn = {0556-2821},
number = 8,
volume = 76,
place = {United States},
year = {Mon Oct 15 00:00:00 EDT 2007},
month = {Mon Oct 15 00:00:00 EDT 2007}
}