Gravitational energy in small regions for the quasilocal expressions in orthonormal frames

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dc.creatorSo, Lau Loi
dc.date2008-09-23
dc.date.accessioned2026-07-07T10:04:38Z
dc.date.available2026-07-07T10:04:38Z
dc.descriptionThe M$ø$ller tetrad gravitational energy-momentum expression was recently evaluated for a small vacuum region using orthonormal frames adapted to Riemann normal coordinates. However the result was not proportional to the Bel-Robinson tensor $B_{αβμν}$. Treating a modified quasilocal expressions in a similar way, we found one unique combination that gives a multiple of $B_{αβμν}$ which provides a non-negative gravitational energy-momentum in the small sphere approximation. Moreover, in addition to $B_{αβμν}$, we found a certain tensor $S_{αβμν}+K_{αβμν}$ which gives the same "energy-momentum" density in vacuum. Using this tensor combination, we obtained an infinite set of solutions that provides a positive gravitational energy within the same limit.
dc.description6
dc.identifierhttps://arxiv.org/abs/0809.3868
dc.identifierhttp://arxiv.org/abs/0809.3868
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/169750
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleGravitational energy in small regions for the quasilocal expressions in orthonormal frames
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