Time-Dependent Dilatonic Domain Walls

Abstract

Time-dependent domain wall solutions with infinitesimal thickness are obtained in the theory of a scalar field coupled to gravity with the dilaton, i.e. the Jordan-Brans-Dicke gravity. The value of the dilaton is determined in terms of the Brans-Dicke parameter $ω$. In particular, the solutions exist for any $ω>0$ and as $ω\to\infty$ we obtain new solutions in general relativity. They have horizons whose sizes depend on $ω$.