Kenneth Hong and Edward Teo 2003 Class. Quantum Grav. 20 3269 doi:10.1088/0264-9381/20/14/321
Kenneth Hong and Edward Teo
Show affiliationsThe usual form of the C-metric has the structure function G(ξ) = 1 − ξ2 − 2mAξ3, whose cubic nature can make calculations cumbersome, especially when explicit expressions for its roots are required. In this paper, we propose a new form of the C-metric, with the explicitly factorizable structure function G(ξ) = (1 − ξ2)(1 + 2mAξ). Although this form is related to the usual one by a coordinate transformation, it has the advantage that its roots are now trivial to write down. We show that this leads to potential simplifications, for example, when casting the C-metric in Weyl coordinates. These results also extend to the charged C-metric, whose structure function can be written in a new form G(ξ) = (1 − ξ2)(1 + r+Aξ)(1 + r−Aξ), where r± are the usual locations of the horizons in the Reissner–Nordström solution. As a by-product, we explicitly cast the extremally charged C-metric in Weyl coordinates.
Issue 14 (21 July 2003)
Received 29 April 2003
Published 1 July 2003
Kenneth Hong and Edward Teo 2003 Class. Quantum Grav. 20 3269
L Marder 1978 J. Phys. D: Appl. Phys. 11 2489
I W Hamley 2003 Nanotechnology 14 R39
K R Shortt et al 1993 Phys. Med. Biol. 38 1937
John G Baker et al 2007 Class. Quantum Grav. 24 S25
J Korbicz and J Tafel 2004 Class. Quantum Grav. 21 3301
A Botman et al 2006 Nanotechnology 17 3779
R J Angel et al 2001 J. Phys.: Condens. Matter 13 5353
M J Benacquista et al 2001 Class. Quantum Grav. 18 4025
Shinji Tsujikawa et al 2004 Class. Quantum Grav. 21 5767