A Generic Embedding Class-I Model via Karmarkar Condition in fℛ,T Gravity

In the present work, we investigate the existence of compact star model in the background of fℛ,T gravity theory, where ℛ represents the Ricci scalar and T refers to the energy-momentum tensor trace. Here, we use Karmarkar condition for the interior stellar setup so that a complete and precise model...

Full description

Saved in:
Bibliographic Details
Main Authors: M. Zubair, Saira Waheed, Hina Javaid
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Advances in Astronomy
Online Access:http://dx.doi.org/10.1155/2021/6685578
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In the present work, we investigate the existence of compact star model in the background of fℛ,T gravity theory, where ℛ represents the Ricci scalar and T refers to the energy-momentum tensor trace. Here, we use Karmarkar condition for the interior stellar setup so that a complete and precise model following the embedding class-I strategy can be obtained. For this purpose, we assume anisotropic matter contents along with static and spherically symmetric geometry of compact star. As Karmarkar embedding condition yields a relationship of metric potentials, therefore we assume a suitable form for one of the metric components as eϕ=ar2+bn−1rn+1, where a and b represent constants and n is a free parameter, and evaluate the other. We approximate the values of physical parameters like a,A, and B by utilizing the known values of mass and radius for the compact star Vela X-1. The validity of the acquired model is then explored for different values of coupling parameter λ graphically. It is found that the resulting solution is physically interesting and well-behaved.
ISSN:1687-7969
1687-7977