Technical issues in a spherical system coupled with isotropic matter distribution and the horizon problem with higher curvature quantities

摘要

In this paper, we explore some technical issue in the study of a spherical system coupled with isotropic matter distribution. We also study the horizon problem under the influence of higher curvature quantities. We evaluate well-known equations of motion. We also join the exterior region with an interior one by taking the well-known matching conditions. We first find total matter content within the system and then calculate black hole and cosmological horizons. We have developed a technique for determining some dynamical variables that are involved in controlling the time duration of the emergence of horizons as well as singularities.