Sectional Curvature Bounds in Gravity: Regularisation of the Schwarzschild Singularity

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dc.creatorSchuller, Frederic P.
dc.creatorWohlfarth, Mattias N. R.
dc.date2004-03-04
dc.date2004-03-12
dc.date.accessioned2026-07-07T04:16:42Z
dc.date.available2026-07-07T04:16:42Z
dc.descriptionA general geometrical scheme is presented for the construction of novel classical gravity theories whose solutions obey two-sided bounds on the sectional curvatures along certain subvarieties of the Grassmannian of two-planes. The motivation to study sectional curvature bounds comes from their equivalence to bounds on the acceleration between nearby geodesics. A universal minimal length scale is a necessary ingredient of the construction, and an application of the kinematical framework to static, spherically symmetric spacetimes shows drastic differences to the Schwarzschild solution of general relativity by the exclusion of spacelike singularities.
dc.description20 pages, 1 figure, REVTeX4, updated references
dc.identifierhttps://arxiv.org/abs/hep-th/0403056
dc.identifierhttp://arxiv.org/abs/hep-th/0403056
dc.identifierNucl.Phys. B698 (2004) 319
dc.identifierdoi:10.1016/j.nuclphysb.2004.07.040
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/52460
dc.subjectHigh Energy Physics - Theory
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleSectional Curvature Bounds in Gravity: Regularisation of the Schwarzschild Singularity
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