In this paper, we study new exact solutions of Einstein’s field equations
with the motivation of the relativistic elasticity theory. We construct the
static conformal elastic solution by applying conformal transformations to the
Reissner-Nordstr\”{o}m-de Sitter solution. The conformal factors for static
space-time structure with an elastic matter are obtained. Further, we analyze
the viability of energy conditions. And also discuss the matching problem with
the exterior space-time.
