The key role of Lagrangian multiplier in mimetic gravitational theory in the frame of isotropic compact star

TL;DR

This paper explores how incorporating a Lagrangian multiplier into mimetic gravitational theory enables the modeling of stable, realistic isotropic compact stars, overcoming previous limitations of the theory.

Contribution

It introduces a novel approach by combining mimetic gravity with a Lagrangian multiplier to derive stable isotropic star models, which was not possible with mimetic gravity alone.

Findings

Derived a new isotropic star model within mimetic gravity with a Lagrangian multiplier.

Analyzed the model's physical properties and stability, confirming its realism.

Demonstrated the model's stability using the adiabatic index technique.

Abstract

Recently, the mimetic gravitational theory has gained much attention in the frame of cosmology as well as in the domain of astrophysics. In this study, we show that in the frame of mimetic gravitation theory we are not able to derive an isotropic model. As a result, our focus shifts towards combining mimetic gravitational theory with the Lagrangian multiplier. The field equations of a static isotropic gravitational system that controls the geometry and dynamics of star structure are studied in the frame of mimetic theory coupled with a Lagrangian multiplier using a non-linear equation of state. An energy density is assumed from where all the other unknowns are fixed and a new isotropic model is derived. The physical analysis of this model is studied from different viewpoints and consistent results compatible with a realistic isotropic star are investigated analytically and graphically. Ultimately, we demonstrate the stability of the model in question by employing the adiabatic index technique.