Abstract

The interaction of plane domain walls (which act as sources) with a massless scalar field is investigated. Exact solutions of the Einstein-scalar field equations that represent such interaction are found and studied. In particular, it is found that the surface energy density \ensuremath{\sigma} of the wall always exponentially decreases as the time develops. The space-time is singular at spacelike infinities. The proper distance from the wall to these singularities is finite and inversely proportional to \ensuremath{\surd}\ensuremath{\sigma} .

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