Abstract
The new form of the 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 metric.
- Received 12 January 2015
DOI:https://doi.org/10.1103/PhysRevD.91.064014
© 2015 American Physical Society