Kenneth Hong and Edward Teo 2005 Class. Quantum Grav. 22 109 doi:10.1088/0264-9381/22/1/007
Kenneth Hong and Edward Teo
Show affiliationsIn a previous paper, we showed that the traditional form of the charged C-metric can be transformed, by a change of coordinates, into one with an explicitly factorizable structure function. This new form of the C-metric has the advantage that its properties become much simpler to analyse. In this paper, we propose an analogous new form for the rotating charged C-metric, with structure function G(ξ) = (1 − ξ2)(1 + r+Aξ)(1 + r−Aξ), where r± are the usual locations of the horizons in the Kerr–Newman black hole. Unlike the non-rotating case, this new form is not related to the traditional one by a coordinate transformation. We show that the physical distinction between these two forms of the rotating C-metric lies in the nature of the conical singularities causing the black holes to accelerate apart: the new form is free of torsion singularities and therefore does not contain any closed timelike curves. We claim that this new form should be considered the natural generalization of the C-metric with rotation.
Issue 1 (7 January 2005)
Received 6 October 2004
Published 7 December 2004
Kenneth Hong and Edward Teo 2005 Class. Quantum Grav. 22 109
1998 Phys. Educ. 33
Andrzej Borowiec et al 1998 Class. Quantum Grav. 15 43
S R Valluri et al 2002 Class. Quantum Grav. 19 1327
Guo-Ping Zhou 1989 Phys. Scr. 40 698
H Yang and C-T Pan 2002 J. Micromech. Microeng. 12 157
S Simons and I C Simpson 1974 J. Phys. C: Solid State Phys. 7 3692
Stefano Tomatis et al 2005 Phys. Med. Biol. 50 1675
Elmar Körding and Franz Wegner 2006 J. Phys. A: Math. Gen. 39 1231
Brian R Hunt and Vadim Yu Kaloshin 1997 Nonlinearity 10 1031