Curvature invariants of static spherically symmetric geometries

dc.creatorDeser, S.
dc.creatorRyzhov, A. V.
dc.date2005-05-10
dc.date.accessioned2026-07-07T11:43:00Z
dc.date.available2026-07-07T11:43:00Z
dc.descriptionWe construct all independent local scalar monomials in the Riemann tensor at arbitrary dimension, for the special regime of static, spherically symmetric geometries. Compared to general spaces, their number is significantly reduced: the extreme example is the collapse of all invariants ~ Weyl^k, to a single term at each k. The latter is equivalent to the Lovelock invariant L_k. Depopulation is less extreme for invariants involving rising numbers of Ricci tensors, and also depends on the dimension. The corresponding local gravitational actions and their solution spaces are discussed.
dc.description14 pages
dc.identifierhttps://arxiv.org/abs/gr-qc/0505039
dc.identifierhttp://arxiv.org/abs/gr-qc/0505039
dc.identifierClass.Quant.Grav.22:3315-3324,2005
dc.identifierdoi:10.1088/0264-9381/22/16/012
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/201083
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Theory
dc.titleCurvature invariants of static spherically symmetric geometries
dc.typetext

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