Sectional Curvature Bounds in Gravity: Regularisation of the Schwarzschild Singularity

Details Sectional Curvature Bounds in Gravity: Regularisation of the Schwarzschild Singularity Sectional Curvature Bounds in Gravity: Regularisation of the Schwarzschild Singularity

2004-03-04

arxiv.org/abs/hep-th/0403056v2

Nucl.Phys. B698 (2004) 319

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, 1 figure, REVTeX4, updated references

Scientific paper

10.1016/j.nuclphysb.2004.07.040

A 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.

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