Conformally-transformed metric with arbitrary mass
Abstract
Let gij = δij + hij be a C2 metric on ð”¼3, where hij is symmetric and homogeneous in r of degree -1, and such that the linear (hij and its derivatives) part of the curvature scalar, denoted by RL, is non-zero. Then there exists a metric gij' conformally related
to gij such that RL = 0. Furthermore, the metric gij' can have an arbitrarily set mass.
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