STABILITY OF MACROSCOPIC BODY COSMOLOGICAL MODEL IN RUBAN’S BACKGROUND
By
J. S. Wath and A. S. Nimkar
Shri Dr. R. G. Rathod Arts and Science College, Murtizapur, Dist. Akola, Maharastra, India-444107
Email: jotsnawath@gmail.com, anilnimkar@gmail.com
(Received: May 22, 2023; In format: June 16, 2023; Revised: February 06, 2024; Accepted February 10, 2024)
DOI: https://doi.org/10.58250/jnanabha.2024.54101
Abstract
In this paper, the Barber Self-Creation theory of gravitation is used to examine the stability of the cosmological model in the Ruban’s background in the presence of macroscopic body. Exact solution is obtained by considering the relation between metric coefficients and radiation. The physical, kinematical, and thermodynamical aspects of the derived cosmological model have been examined. The relationship between sound speed, causality, and adiabatic index are used to discuss the stability of these models. Also, the discussion includes different energy conditions.
2020 Mathematical Sciences Classification:- 83E15, 83F05
Keywords: Rubans space-time, self-creation theory, macroscopic body
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