Quasi-local mass near the singularity, the event horizon and the null infinity of black hole spacetimes

Gudapati, Nishanth; Yau, Shing–Tung

doi:10.4310/atmp.2021.v25.n1.a3

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“…Three versions of the quasi-local energy in the Oppenheimer-Snyder dust collapse model were analyzed in [18]. Quasilocal energy was calculated in the contexts of black hole physics and cosmology in [19][20][21]. In [22], the gravitational and material energies in a static spherical star were discussed.…”

Section: Introductionmentioning

confidence: 99%

Energy in critical collapse

Hu,

Guo,

et al. 2023

Commun. Theor. Phys.

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We study the energy issue in critical collapse. It is found that in critical collapse, the contribution from the material energy is greater than that from the gravitational energy. The quantity m/r plays an important role in identifying the formation of apparent horizon in gravitational collapse, where m is the Misner-Sharp mass and r the areal radius. We observe that in critical collapse, the maximum value of m/r fluctuates between 2/15 and 4/15. This denotes a large gap between critical collapse and black hole formation for which the criterion is m/r=1/2.

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