O Murchadha, N. and Szabados, L. B. and Tod, K. P. (2004) A comment on Liu and Yau's positive quasi-local mass. Physical Review Letters, 92 (25). pp. 25900-1.
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Abstract
Liu and Yau (Phys.Rev.Lett. 90, 231102, 2003) propose a definition of quasi-local mass for any space-like, topological 2-sphere with positive Gauss curvature (and subject to a second, convexity, condition). They are able to show it is positive using a result of Shi and Tam (J.Diff.Geom. 62, 79, 2002). However, as we show here, their definition can give a strictly positive mass for a sphere in flat space.
| Item Type: | Article |
|---|---|
| Subjects: | O - Z > Relativity and gravitational theory |
| Research Groups: | Mathematical Physics Group |
| ID Code: | 136 |
| Deposited By: | K. P. Tod |
| Deposited On: | 30 Nov 2004 |
| Last Modified: | 20 Jul 2009 14:18 |
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