Exact Solutions and Scalar Fields in Gravity - Instituto Avanzado de ...

REFERENCES 61
geodesic with respect to the total metric arising from the nonlinear superposition.
The integration of the field equations requires, in addition to the
space-time symmetries, an a priori ansatz for the metric functions. This
ansatz implies a particular radial dependence of the energy density which
in general cannot be prescribed appropriately. In the solution (18) the
calculated energy density has a very nice behaviour.
The metric (18) describing counter–moving beams of light can be
smoothly matched to the static cylindrically symmetric vacuum solution
(24) at any distance from the regular axis.
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