Charged analogue of Finch-Skea stars

Abstract

We present solutions to the Einstein-Maxwell system of equations in spherically symmetric gravitational fields for static interior spacetimes with a specified form of the electric field intensity. The condition of pressure isotropy yields three category of solutions. The first category is expressible in terms of elementary functions and does not have an uncharged limit. The second category is given in terms of Bessel functions of half-integer order. These charged solutions satisfy a barotropic equation of state and contain Finch-Skea uncharged stars. The third category is obtained in terms of modified Bessel functions of half-integer order and does not have an uncharged limit. The physical features of the charged analogue of the Finch-Skea stars are studied in detail. In particular the condition of causality is satisfied and the speed of sound does not exceed the speed of light. The physical analysis indicates that this analogue is a realistic model for static charged relativistic perfect fluid spheres.

17 pages, To appear in Int. J. Mod. Phys. D

References in corpus (1)

• Exact models for isotropic matter

Cited by in corpus (24)

• Some charged polytropic models
• Classes of exact Einstein-Maxwell solutions
• Compact models with regular charge distributions
• Exact barotropic distributions in Einstein-Gauss-Bonnet gravity
• Viable and Stable Compact Stars in $f(\mathcal{Q})$ Theory
• Modified Finch and Skea stellar model compatible with observational data
• A family of Finch and Skea relativistic stars
• Charged relativistic spheres with generalized potentials
• Generalised spheroidal spacetimes in 5-D Einstein--Maxwell--Gauss--Bonnet gravity
• Generalised compact spheres in electric fields
• The criteria of the anisotropic quark star models in Rastall gravity
• Estimating the Role of Bag Constant and Modified Theory on Anisotropic Stellar Models
• Static trace free Einstein equations and stellar distributions
• Anisotropic extension of Finch and Skea stellar model
• Relativistic Polytropic Models of Charged Anisotropic Compact Object
• New charged anisotropic compact models
• Anisotropic Star on Pseudo-Spheroidal Spacetime
• Compact Objects admitting Finch-Skea Symmetry in $f(\mathcal{R},T^2)$ Gravity
• Extending Finch-Skea Isotropic Model to Anisotropic Domain in Modified $f(\mathcal{R},\mathcal{T})$ Gravity
• Charged compact stellar model in Finch-Skea spacetime
• Compact stellar model in presence of pressure anisotropy in modified Finch Skea spacetime
• Inverse square law isothermal property in relativistic charged static distributions
• A family of solutions to the Einstein-Maxwell system of equations describing relativistic charged fluid spheres
• Properties of relativistic star in 5-D Einstein-Gauss-Bonnet gravity