Curvature eigenvalues and eigenbivectors;
direct integration and algebraic techniques;
proper projective vector field;
2ND-ORDER DIFFERENTIAL-EQUATIONS;
SPACE-TIMES;
VECTOR-FIELDS;
COLLINEATIONS;
TRANSFORMATIONS;
HOLONOMY;
SYSTEMS;
D O I:
10.1142/S0219887816500092
中图分类号:
O4 [物理学];
学科分类号:
0702 ;
摘要:
A study of proper projective symmetry in the most general form of non-static spherically symmetric space-time is given using direct integration and algebraic techniques. In this study, we show that when the above space-time admits proper projective symmetry it becomes a very special class of static spherically symmetric space-times.