Einstein gravity coupled to a massless scalar field in arbitrary spacetime dimensions

Details Einstein gravity coupled to a massless scalar field in arbitrary spacetime dimensions Einstein gravity coupled to a massless scalar field in arbitrary spacetime dimensions

Oct 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989phrvd..40.2564x&link_type=abstract

Physical Review D (Particles and Fields), Volume 40, Issue 8, 15 October 1989, pp.2564-2567

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46

Exact Solutions, Field Theories In Dimensions Other Than Four

Scientific paper

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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