A one-parameter deformation of conformal coupling in Einstein-Cartan gravity produces exact torsional black hole and wormhole solutions with a scalar field.
Spherically symmetric solution in a space-time with torsion
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abstract
By using the method of group analysis, we obtain a new exact evolving and spherically symmetric solution of the Einstein-Cartan equations of motion, corresponding to a space-time threaded with a three-form Kalb-Ramond field strength. The solution describes in its more generic form, a space-time which scalar curvature vanishes for large distances and for large time. In static conditions, it reduces to a classical wormhole solution and to a exact solution with a localized scalar field and a torsion kink, already reported in literature. In the process we have found evidence towards the construction of more new solutions.
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Torsional black holes and wormholes in Einstein-Cartan-Maxwell gravity with a conformal scalar field
A one-parameter deformation of conformal coupling in Einstein-Cartan gravity produces exact torsional black hole and wormhole solutions with a scalar field.