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The Brown-York mass and the Thorne hoop conjecture · Around

2009

The Brown-York mass and the Thorne hoop conjecture

Murchadha, Niall O, Tung, Roh-Suan, Xie, Naqing et al.

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Understand

The Thorne hoop conjecture is an attempt to make precise the notion that gravitational collapse occurs if enough energy is compressed into a small enough volume, with the `size' being defined by the circumference.

We can make a precise statement of this form, in spherical symmetry, using the Brown-York mass as our measure of the energy.
Consider a spherical 2-surface in a spherically symmetric spacetime.
If the Brown-York mass, $M_{BY}$, and the circumference, $C$, satisfy $C < 2\pi M_{BY}$, then the system must either have emerged from a white hole or will collapse into a black hole.

Built on

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Earlier work this paper cites.
R. Penrose, Phys. Rev. Lett. 14
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K. S. Thorne in Magic without Magic
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R. Schoen and S. -T. Yau, Commun. Math. Phys. 90
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W. B. Bonnor, Phys. Lett. A, 99
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Similar

Eq. (11) in E. Malec and N. Ó Murchadha, Phys. Rev. D 50
1994
Cited alongside, same era.
R. Beig and N. Ó Murchadha, Phys. Rev. Lett. 66
1996
Cited alongside, same era.
J. Kijowski, Gen. Relativ. Grav. 29
Original
1997
Cited alongside, same era.
J. D. Brown and J. W. York, Phys. Rev. D 47
2002
Cited alongside, same era.
N. Ó Murchadha, arXiv:0706.1166, to be published
Original
Cited in the paper.

Then

C.-C. M. Liu and S.-T. Yau, Phys. Rev. Lett. 90
2006
Later among the works it cites.
H. Andréasson, J. Diff. Equations 245
2008
Later among the works it cites.
L. Szabados, Living Reviews in Relativity 12
2009
Closest in time.
M.-T. Wang and S.-T. Yau, Phys. Rev. Lett. 102
2009
Closest in time.

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