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The Liu-Yau mass as a good quasi-local energy in general relativity · Around

2007

The Liu-Yau mass as a good quasi-local energy in general relativity

Murchadha, Niall O

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Understand

A quasi-local mass has been a long sought after quantity in general relativity.

A recent candidate has been the Liu-Yau mass.
One can show that the Liu-Yau mass of any two-surface is the maximum of the Brown-York energy for that two-surface.
This means that it has significant disadvantages as a mass.

Built on

C. Misner and D. Sharp, Phys. Rev. 136B
1964
Earlier work this paper cites.
R. Arnowitt, S. Deser, and C. Misner in Gravitation: an Introduction to Current Research
1973
Earlier work this paper cites.
Niall Ó Murchadha, J. Math. Phys. 27
1986
Earlier work this paper cites.
R. Bartnik, Phys. Rev. Lett. 60
Original
1989
Earlier work this paper cites.

Similar

P. Bizon, E. Malec, and N. Ó Murchadha, Class. Quant. Grav. 7
1990
Cited alongside, same era.
J. D. Brown and J. W. York, Phys. Rev. D 47
1993
Cited alongside, same era.
J. Kijowski, Gen. Relativ. Gravit. 29
1997
Cited alongside, same era.
J. D. Brown, S. R. Lau, and J. W. York, Ann. Phys.(N.Y.) 297
2002
Cited alongside, same era.
M. T. Wang and S.-T. Yau, Arxiv:math.DG/0602321; X. Zhang, Arxiv:gr-qc/0603004
Cited in the paper.

Then

Y. Shi and L.-F. Tam, J. Diff. Geom. 62
2002
Later among the works it cites.
L. Szabados, Living Reviews in Relativity 7
2004
Later among the works it cites.
N. Ó Murchadha, L. Szabados, and P. Tod, Phys. Rev. Lett. 92
2004
Later among the works it cites.
C.-C. M. Liu and S.-T. Yau, Phys. Rev. Lett. 90
2006
Later among the works it cites.

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