Article citationsMore>>

Sussman, R.A. (1991) Spherically Symmetric Solutions Admitting a Spacelike Self-Similar Motion. Journal of Mathematical Physics, 32, 223.
https://aip.scitation.org/doi/abs/10.1063/1.529121
https://doi.org/10.1063/1.529121

has been cited by the following article:

• TITLE: Self-Similar Solutions of the Kantowski-Sachs Model with a Perfect Fluid in General Relativity

  AUTHORS: Ragab M. Gad, Sadah A. Alkhateeb, Hanan D. Alharbi

  KEYWORDS: Kantowski-Sachs Model, Homothetic Vector Field, Einstein’s Field Equations, Kinematical Quantities

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.9 No.12, December 28, 2021

  ABSTRACT: Exact self-similar solutions to Einstein’s field equations for the Kantowski-Sachs space-time are determined. The self-similarity property is applied to determine the functional form of the unknown functions that define the gravitational model and to reduce the order of the field equations. The consequences of matter, described by the energy-momentum tensor, are investigated in the case of a perfect fluid. Some physical features and kinematical properties of the obtained model are studied.