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Strong field behavior of Wang-Yau quasi-local energy
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We consider the strong field behavior of the Wang-Yau quasi-local energy. In particular, we examine the limit of the Wang-Yau quasi-local energy as the defining spacelike 2-sphere Σ approaches an apparent horizon from the exterior. We find that if the apparent horizon Σ cannot be isometrically embedded into R3, the Wang-Yau quasi-local energy diverges at the horizon. Further, in this situation, the optimal embedding equation does not admit any solution that is smooth up to the horizon.
Title: Strong field behavior of Wang-Yau quasi-local energy
Description:
We consider the strong field behavior of the Wang-Yau quasi-local energy.
In particular, we examine the limit of the Wang-Yau quasi-local energy as the defining spacelike 2-sphere Σ approaches an apparent horizon from the exterior.
We find that if the apparent horizon Σ cannot be isometrically embedded into R3, the Wang-Yau quasi-local energy diverges at the horizon.
Further, in this situation, the optimal embedding equation does not admit any solution that is smooth up to the horizon.
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