Please use this identifier to cite or link to this item: https://doi.org/10.1088/0264-9381/20/14/321
Title: A new form of the C-metric
Authors: Hong, K. 
Teo, E. 
Issue Date: 21-Jul-2003
Citation: Hong, K., Teo, E. (2003-07-21). A new form of the C-metric. Classical and Quantum Gravity 20 (14) : 3269-3277. ScholarBank@NUS Repository. https://doi.org/10.1088/0264-9381/20/14/321
Abstract: The usual form of the C-metric has the structure function G(ξ) = 1 - ξ2 - 2m Aξ3, 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 + 2m Aξ). 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.
Source Title: Classical and Quantum Gravity
URI: http://scholarbank.nus.edu.sg/handle/10635/95650
ISSN: 02649381
DOI: 10.1088/0264-9381/20/14/321
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