HIGHER DIMENSIONAL TOPOLOGICAL DEFECT SOLUTIONS WITH MASSIVE SCALAR FIELD IN GENERAL RELATIVITY
By
V. G. Mete1 and V.S. Deshmukh2
1Department of Mathematics, R.D.I.K. & K.D. College, Badnera{ Amravati (M.S.), India- 444701
2Department of Mathematics, P.R.M.I.T.& R. , Badnera{ Amravati (M.S.), India- 444701
Email: vmete5622@gmail.com,vsdeshmukh456@gmail.com
(Received: April 18, 2023; In format: April 24, 2023; Revised: August 31, 2023;
Accepted: September 13, 2023)
DOI: https://doi.org/10.58250/jnanabha.2023.53206
Abstract
In this paper, we investigate a ve dimensional Locally Rotationally Symmetric (LRS) Bianchi type- V string cosmological model with massive scalar eld in general relativity. In order to obtain an exact solution of the field equations, we used the following conditions: (i) the shear scalar is proportional to the expansion scalar, resulting in a relationship between metric potentials, and (ii) the average scale factor is proportional to the massive scalar gield, resulting in a power law relationship. In addition, the physical and kinematical parameters are discussed in detail.
2020 Mathematical Sciences Classification: 83-3, 83-08, 83C15, 83E15, 83E30, 83F05.
Keywords and Phrases: Five dimensional LRS Bianchi -V model, cosmic string model, massive scalar field.