Identifying conical singularities

作者: G. Oliveira‐Neto

DOI: 10.1063/1.531650

关键词: Gravitational singularityHolonomySingularityDifferential geometrySpace timeMathematical analysisBasis (linear algebra)MathematicsRiemannian geometryConical surface

摘要: A method based upon the concept of holonomy a metric space–time (M,g), in order to identify presence conical singularities M is proposed. The validity and usefulness this so‐called proven by applying it set four‐dimensional space–times one three‐dimensional space–time. predictions are confirmed comparison with obtained after coordinate transformations which take metrics g, new basis where global properties explicitly seen.

参考文章(12)
Mikio Nakahara, Geometry, topology, and physics ,(1990)
Joseph Albert Wolf, Spaces of Constant Curvature ,(1984)
E. P. S. Shellard, Alex Vilenkin, Cosmic Strings and Other Topological Defects ,(1995)
M Demianski, Gravitation: The Spacetime Structure Classical and Quantum Gravity. ,vol. 13, ,(1996) , 10.1088/0264-9381/13/3/020
J Louko, P J Ruback, Spatially flat quantum cosmology Classical and Quantum Gravity. ,vol. 8, pp. 91- 121 ,(1991) , 10.1088/0264-9381/8/1/013
N.L. Balazs, A. Voros, Chaos on the pseudosphere Physics Reports. ,vol. 143, pp. 109- 240 ,(1986) , 10.1016/0370-1573(86)90159-6
S Deser, R Jackiw, G 't Hooft, Three-dimensional Einstein gravity: Dynamics of flat space Annals of Physics. ,vol. 152, pp. 220- 235 ,(1984) , 10.1016/0003-4916(84)90085-X
Mukunda Aryal, L. H. Ford, Alexander Vilenkin, Cosmic strings and black holes Physical Review D. ,vol. 34, pp. 2263- 2266 ,(1986) , 10.1103/PHYSREVD.34.2263
G. F. R. Ellis, B. G. Schmidt, Classification of singular space-times General Relativity and Gravitation. ,vol. 10, pp. 989- 997 ,(1979) , 10.1007/BF00776518