Homogeneous Spacetimes with Isotropy in 2+1 Dimensions as Solutions to Topologically Massive Gravity
نویسنده
چکیده
Homogeneous solutions to topologically massive gravity have been previously found for spacetimes in 2+1 dimensions admitting a simply transitive isometry group. We discuss the case of homogeneous spacetimes in 2+1 dimensions with isotropy, review a technique for classifying them, and examine in each case whether the isometry group has a simply transitive subgroup. We further show that none of these cases correspond to new solutions to the Einstein-Cotton equations of topologically massive gravity, and conclude that all homogeneous solutions have simply transitive subgroups.
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