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Topology of the Causal Boundary for Standard Static Spacetimes

Jose' L. Flores·Steven G. Harris
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Abstract

The topology of the causal boundary for standard static spacetimes--spacetimes time-invariantly conformal to a metric product of the Lorentz line and a Riemannian manifold--is studied in depth. As this is given in terms of a set of real-valued functions on the Riemannian factor, one could use a function-space topology, but physical reasons recommend a chronological topology instead. The function-space topology has a simple product structure, while the chronological topology might not. This paper examines when the chronological topology coincides with the function-space topology and when it has a simple product structure. A class of standard static spacetimes is examined, all of which yield a simple product structure for the causal boundary; the conformal class of these spacetimes includes classical spacetimes such as external Schwarzschild or Reissner-Nordstrom.

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Jose' L. Flores, Steven G. Harris. 2006-07-11. Topology of the Causal Boundary for Standard Static Spacetimes. https://doi.org/10.1088/0264-9381%2F24%2F5%2F010

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