It has been pointed out by Hall et al. [Gen. Rel. Gray. 28 (1996) 299.] that matter collineations can be defined by using three different methods. But there arises the question whether one studies matter collineati...It has been pointed out by Hall et al. [Gen. Rel. Gray. 28 (1996) 299.] that matter collineations can be defined by using three different methods. But there arises the question whether one studies matter collineations by using LεTab=0, or LεT^ab = 0 or LεT^b a=0. These alternative conditions are, of. course, not generally equivalent. This problem has been explored by applying these three definitions to general static spherically symmetric spacetimes. We compare the results with each definition.展开更多
基金Acknowledgments 0ne of the authors (MS) would like to thank Prof Graham S. Hall for the useful discussion on the topic.
文摘It has been pointed out by Hall et al. [Gen. Rel. Gray. 28 (1996) 299.] that matter collineations can be defined by using three different methods. But there arises the question whether one studies matter collineations by using LεTab=0, or LεT^ab = 0 or LεT^b a=0. These alternative conditions are, of. course, not generally equivalent. This problem has been explored by applying these three definitions to general static spherically symmetric spacetimes. We compare the results with each definition.