Construction of a Penrose Diagram for an Accreting Black Hole

Details Construction of a Penrose Diagram for an Accreting Black Hole Construction of a Penrose Diagram for an Accreting Black Hole

2008-11-04

arxiv.org/abs/0811.0629v1

Class.Quant.Grav.26:045010,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

7 pages, 1 figure

Scientific paper

10.1088/0264-9381/26/4/045010

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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