Charged anisotropic strange stars in Finslerian geometry

Abstract

We investigate a simplified model of the strange stars in the framework of Finslerian geometry, composed of charged fluid. It is considered that the fluid consisting of three flavor quarks including a small amount of non-interacting electrons to maintain the chemical equilibrium and assumed that the fluid is compressible by nature. To obtain the simplified form of the charged strange star we have considered constant flag curvature. Based on geometry, we have developed the field equations within the localized charge distribution. We consider that the strange quarks distributed within the stellar system are complied with the MIT bag model type of equation of state (EOS) and the charge distribution within the system follows a power law. We represent the exterior spacetime by the Finslerian Ressiner-Nordström space-time. The maximum anisotropic stress is obtained at the surface of the system. Whether the system is in equilibrium or not, has been examined with respect to the Tolman-Oppenheimer-Volkoff (TOV) equation, Herrera cracking concept, different energy conditions and adiabatic index. We obtain that the total charge is of the order of 10 20 C and the corresponding electric field is of around 10 22 V/m. The central density and central pressure vary inversely with the charge. Varying the free parameter (charge constant) of the model, we find the generalized mass-radius variation of strange stars and determine the maximum limited mass with the corresponding radius. Furthermore, we also considered the variation of mass and radius against central density respectively.

Charged gravastars with conformal motion in the Finslerian space-time

“…here, u μ represents velocity four-vector of a fluid element (with u μ u μ = 1). The modified Einstein field equation for the charged fluid in Finsler geometry is given as [48],…”

“…The Finslerian Schwarzschild-de sitter space-time is also recently investigated in [47]. Chowdhury et al [48] investigated the strange stars model by considering charged fluid in the Finslerian framework. After that, Sumita Banerjee et al [49] studied the gravastar with the background of Finslerian space-time.…”

Interior solutions of relativistic stars with anisotropic matter in scale-dependent gravity

“…Currently there is a rich literature on relativistic stars, which indicates that it is an active and interesting field. For a few partial lists see for instance: (1) for electrically charged stars [43][44][45][46][47][48][49][50][51], (2) for anisotropic stars [37,[52][53][54][55][56][57][58][59][60], and (3) for objects with both net electric charge and anisotropic matter [61][62][63][64][65][66][67][68], and also compact stars with specific mass function [69].…”

Analytical model on mass limit of strange stars

“…The study of the interior region of the compact stars is not straightforward. Numerous authors Rahaman (2012aRahaman ( ,b, 2014; Hossein (2012); Kalam (2012Kalam ( , 2013Kalam ( , 2014Kalam ( , 2016Kalam ( , 2017Kalam ( , 2018; ; ; Maharaja (2014); Ngubelanga (2015); Paul (2015); Pant (2014); Bhar (2017); Lobo (2006); Bronnikov (2006); Egeland (2007); Dymnikova (2002); Chakraborty (2017); Singh (2021); Sharma (2021); Paul (2018); Goswami (2020); Biswas (2020); Aziz (2019); Chowdhury (2019); Deb (2017); Jasim (2021) established different models to enlight several features of the interior of the compact objects using various types of metric pleasing Einstein equations as well as all the conditions which are required for a stellar model to be causal.…”