A charged star with geometric Karmarkar condition  

作　　者：Gabino Estevez-Delgado Joaquin Estevez-Delgado Rafael Soto-Espitia Antonio Rendón Romero Jorge Mauricio Paulin-Fuentes 

机构地区：[1]Facultad de Químico Farmacobiología de la Universidad Michoacana de San Nicolás de Hidalgo [2]Facultad de Ciencias Físico Matemáticas de la Universidad Michoacana de San Nicolás de Hidalgo,Edificio B,Ciudad Universitaria [3]Facultad de Ingeniería Civil de la Universidad Michoacana de San Nicolás de Hidalgo Edificio A,Ciudad Universitaria [4]Facultad de Ingeniería Mecánica de la Universidad Michoacana de San Nicolás de Hidalgo Edificio W,Ciudad Universitaria [5]División Académica de Ciencias Básicas de la Universidad Juárez Autónoma de Tabasco

出　　处：《Communications in Theoretical Physics》2023年第8期139-149,共11页理论物理通讯（英文版）

摘　　要：In this paper,we analyse an analytical solution of the Einstein–Maxwell field equations that considers matter with anisotropic pressures in a static and spherically symmetric geometry.We report the manner in which we obtained the solution,which is by means of the Karmarkar condition.For the model,we assume a state equation that describes the interaction of matter from quarks P=(c^(2)ρ-4B_(g))/3 and we consider the presence of electric charge,which can generate that the radial and tangential pressures are not equal.In a graphic manner,we analyse the physical properties of the model,taking as the observational data those of mass 1M⊙and radius7.69 km which were reported for the star Her X-1.The charge values are found between 5.57×10^(18)C≤Q≤1.31×10^(20)C and the interval of the Bag constant Bg∈[118.7,122.13]MeV/fm^(3).Also,we show the stability of the configuration by means of the static stability criteria of Harrison–Zeldovich–Novikov((?M)/?ρc>0),as well as in regards to infinitesimal radial adiabatic perturbation,since the adiabatic indexγ>3.3 which guarantees the stability of the solution.

关 键 词：general relativity exact solutions anisotropic fluid Karmarkar condition 

分 类 号：P152[天文地球—天文学]