The Liu-Yau mass as a good quasi-local energy in general relativity
| dc.creator | Murchadha, Niall O | |
| dc.date | 2007-06-08 | |
| dc.date.accessioned | 2026-07-07T08:04:39Z | |
| dc.date.available | 2026-07-07T08:04:39Z | |
| dc.description | 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. It is much better interpreted as an energy and I will show one way of doing so. The Liu-Yau mass is especially interesting in spherical geometries, where mass and energy are indistinguishable. For a spherical two-surface, it equals the minimum of the amount of energy at rest that one needs to put inside the two-surface to generate the given surface geometry. Thus it gives interesting information about the interior, something no other mass or energy function does. | |
| dc.description | 4 pqges, Latex | |
| dc.identifier | https://arxiv.org/abs/0706.1166 | |
| dc.identifier | http://arxiv.org/abs/0706.1166 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/130044 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | The Liu-Yau mass as a good quasi-local energy in general relativity | |
| dc.type | text |