Coordinates with Non-Singular Curvature for a Time Dependent Black Hole Horizon

Details Coordinates with Non-Singular Curvature for a Time Dependent Black Hole Horizon Coordinates with Non-Singular Curvature for a Time Dependent Black Hole Horizon

2006-09-06

arxiv.org/abs/gr-qc/0609019v2

Found.Phys.37:1181-1196,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

15 pages, 1 figure, additional citations

Scientific paper

10.1007/s10701-007-9146-4

A naive introduction of a dependency of the mass of a black hole on the Schwarzschild time coordinate results in singular behavior of curvature invariants at the horizon, violating expectations from complementarity. If instead a temporal dependence is introduced in terms of a coordinate akin to the river time representation, the Ricci scalar is nowhere singular away from the origin. It is found that for a shrinking mass scale due to evaporation, the null radial geodesics that generate the horizon are slightly displaced from the coordinate singularity. In addition, a changing horizon scale significantly alters the form of the coordinate singularity in diagonal (orthogonal) metric coordinates representing the space-time. A Penrose diagram describing the growth and evaporation of an example black hole is constructed to examine the evolution of the coordinate singularity.

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