A Note on Classification of Teleparallel Conformal Vector Fields in Bianchi Type-I Space-Times in the Teleparallel Theory of Gravitation

摘要

A study of teleparallel conformal vector fields in Bianchi type I space-times in the teleparallel theory of gravitation is given by using the direct integration technique. From the above study it turns out that the dimensions of teleparallel conformal vector fields are 8, 9, 10 or 11. The case when the above space-times become FRW 0 k = model it admits eleven teleparallel conformal vector fields. This classification also covers the timelike version of plane symmetric space-times.