New form of the C metric with cosmological constant

Yu Chen, Yen-Kheng Lim, and Edward Teo
Phys. Rev. D 91, 064014 – Published 5 March 2015

Abstract

The new form of the C metric proposed by Hong and Teo, in which the two structure functions are factorized, has proved useful in its analysis. In this paper, we extend this form to the case when a cosmological constant is present. The new form of this solution has two structure functions which are partially factorized; moreover, the roots of the structure functions are now regarded as fundamental parameters. This leads to a natural representation of the solution in terms of its so-called domain structure, in which the allowed coordinate range can be visualized as a “box” in a two-dimensional plot. The solution is then completely parametrized by the locations of the edges of this box, at least in the uncharged case. We also briefly analyze other possible domain structures—in the shape of a triangle and trapezoid—that might describe physically interesting space-times within the anti–de Sitter C metric.

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  • Received 12 January 2015

DOI:https://doi.org/10.1103/PhysRevD.91.064014

© 2015 American Physical Society

Authors & Affiliations

Yu Chen, Yen-Kheng Lim, and Edward Teo

  • Department of Physics, National University of Singapore, Singapore 119260, Singapore

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Issue

Vol. 91, Iss. 6 — 15 March 2015

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