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arXiv · 0811.0629

Construction of a Penrose Diagram for an Accreting Black Hole

Beth A. Brown·James Lindesay
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Abstract

A Penrose diagram is constructed for a spatially coherent black hole that accretes at stepwise steady rates as measured by a distant observer from an initial state described by a metric of Minkowski form. Coordinate lines are computationally derived, and radial light-like trajectories verify the viability of the diagram. Coordinate dependencies of significant features, such as the horizon and radial mass scale, are clearly demonstrated on the diagram. The onset of a singularity at the origin is shown to open a new region in space-time that contains the interior of the black hole.

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Beth A. Brown, James Lindesay. 2008-11-04. Construction of a Penrose Diagram for an Accreting Black Hole. https://doi.org/10.1088/0264-9381%2F26%2F4%2F045010

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