We obtain the exact static spherically symmetric solution of the coupled Einstein--massless-scalar-field equations for arbitrary spacetime dimensions. The general solution involves two parameters: it is asymptotically flat and the scalar field tends to zero at spacelike infinity. It exhibits a naked singularity unless the scalar field vanishes when it naturally reduces to the Schwarzschild solution in D spacetime dimensions.
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Xanthopoulos et al. (1989) studied this question.
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