Interpreting the C-metric

Details Interpreting the C-metric Interpreting the C-metric

2006-09-15

arxiv.org/abs/gr-qc/0609056v1

Class.Quant.Grav. 23 (2006) 6745-6766

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

22 pages, 14 figures (low-resolution figures; for the version with high-resolution figures see http://utf.mff.cuni.cz/~krtous/

Scientific paper

10.1088/0264-9381/23/23/008

The basic properties of the C-metric are well known. It describes a pair of causally separated black holes which accelerate in opposite directions under the action of forces represented by conical singularities. However, these properties can be demonstrated much more transparently by making use of recently developed coordinate systems for which the metric functions have a simple factor structure. These enable us to obtain explicit Kruskal-Szekeres-type extensions through the horizons and construct two-dimensional conformal Penrose diagrams. We then combine these into a three-dimensional picture which illustrates the global causal structure of the space-time outside the black hole horizons. Using both the weak field limit and some invariant quantities, we give a direct physical interpretation of the parameters which appear in the new form of the metric. For completeness, relations to other familiar coordinate systems are also discussed.

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