In this paper we classify Kantowski-Sachs and Bianchi type Ⅲ space-times according to their teleparallelKilling vector fields using direct integration technique.It turns out that the dimension of the teleparallel Kil...In this paper we classify Kantowski-Sachs and Bianchi type Ⅲ space-times according to their teleparallelKilling vector fields using direct integration technique.It turns out that the dimension of the teleparallel Killing vectorfields are 4 or 6,which are the same in numbers as in general relativity.In case of 4 the teleparallel Killing vector fieldsare multiple of the corresponding Killing vector fields in general relativity by some function of t.In the case of 6 Killingvector fields the metric functions become constants and the Killing vector fields in this case are exactly the same as ingeneral relativity.Here we also discuss the Lie algebra in each case.展开更多
In this paper we classify spatially homogeneous rotating space-times according to their teleparallel Killing vector fields using direct integration technique.It turns out that the dimension of the teleparallel Killing...In this paper we classify spatially homogeneous rotating space-times according to their teleparallel Killing vector fields using direct integration technique.It turns out that the dimension of the teleparallel Killing vector fields is 5 or 10.In the case of 10 teleparallel Killing vector fields the space-time becomes Minkowski and all the torsion components are zero.Teleparallel Killing vector fields in this case are exactly the same as in general relativity.In the cases of 5 teleparallel Killing vector fields we get two more conservation laws in the teleparallel theory of gravitation.Here we also discuss some well-known examples of spatially homogeneous rotating space-times according to their teleparallel Killing vector fields.展开更多
文摘In this paper we classify Kantowski-Sachs and Bianchi type Ⅲ space-times according to their teleparallelKilling vector fields using direct integration technique.It turns out that the dimension of the teleparallel Killing vectorfields are 4 or 6,which are the same in numbers as in general relativity.In case of 4 the teleparallel Killing vector fieldsare multiple of the corresponding Killing vector fields in general relativity by some function of t.In the case of 6 Killingvector fields the metric functions become constants and the Killing vector fields in this case are exactly the same as ingeneral relativity.Here we also discuss the Lie algebra in each case.
文摘In this paper we classify spatially homogeneous rotating space-times according to their teleparallel Killing vector fields using direct integration technique.It turns out that the dimension of the teleparallel Killing vector fields is 5 or 10.In the case of 10 teleparallel Killing vector fields the space-time becomes Minkowski and all the torsion components are zero.Teleparallel Killing vector fields in this case are exactly the same as in general relativity.In the cases of 5 teleparallel Killing vector fields we get two more conservation laws in the teleparallel theory of gravitation.Here we also discuss some well-known examples of spatially homogeneous rotating space-times according to their teleparallel Killing vector fields.
