Localización de gravedad sobre una pared doble autogravitante

Abstract

The aim of this research was to locate gravity in a double domain wall; its objectives were to extend the list of topological defects of double domain wall type, and to contribute to the study of existing ones. A domain wall previously reported in the literature was recovered and a new static double domain wall was found, in proper length coordinates. Wolfram Mathematica 12.3 Student Edition was used to plot the walls, and for a better visualisation of the solutions. The results consisted of two solutions whose scalar fields interpolate asymptotically between the minima of their corresponding self- interaction potentials. The new solution was expressed as a family of domain walls, in coordinates of proper length. Observations made on each solution focused on the resulting plots of the metric factor, self-interaction potential, scalar field, energy density and quantum-mechanical potential. As conclusions it was obtained that both solutions are physically different and have an internal structure where standard Newtonian gravity can be located. Regarding to the new solution in proper length coordinates, it is recommended to find a general expression for the metric factor, to calculate the value of the cosmological constant, and to make a detailed analysis of its gravitational characteristics.