In effective loop quantum gravity, an infinite family of mathematically equivalent collapse equations produce different weak solutions after shell crossing, so the predicted black hole lifetime (e.g., M^2, M^3, M^4) is not uniquely determined.
Loop quantum black hole extensions within the improved dynamics
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abstract
We continue our investigation of an improved quantization scheme for spherically symmetric loop quantum gravity. We find that in the region where the black hole singularity appears in the classical theory, the quantum theory contains semi-classical states that approximate general relativity coupled to an effective anisotropic fluid. The singularity is eliminated and the space-time can be continued into a white hole space-time. This is similar to previously considered scenarios based on a loop quantum gravity quantization.
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Non-uniqueness of the shockwave dynamics in effective loop quantum gravity
In effective loop quantum gravity, an infinite family of mathematically equivalent collapse equations produce different weak solutions after shell crossing, so the predicted black hole lifetime (e.g., M^2, M^3, M^4) is not uniquely determined.