Isotropic cases of static charged fluid spheres in general relativity

Abstract

In this paper we study the isotropic cases of static charged fluid spheres in general relativity. For this purpose we consider two different specialization and under these we solve the Einstein-Maxwell field equations in isotropic coordinates. The analytical solutions thus we obtained are matched to the exterior Reissner-Nordström solutions which concern with the values for the metric coefficients $e^{\nu }$ and $e^{\mu }$. We derive the pressure, density, pressure-to-density ratio at the centre of the charged fluid sphere and boundary $R$ of the star. Our conclusion is that static charged fluid spheres provide a good connection to compact stars.

12 Latex pages, 4 figures, considerable corrections in the mathematical symbols and calculations

References in corpus (8)

• Gravitational Vacuum Condensate Stars
• Electrically charged compact stars and formation of charged black holes
• Tolman-Bayin type static charged fluid spheres in general relativity
• Exact Relativistic Static Charged Perfect Fluid Disks
• Mass and Charge in Brane-World and Non-Compact Kaluza-Klein Theories in 5 Dim
• Energy density in general relativity: a possible role for cosmological constant
• Physical properties of Tolman-Bayin solutions: some cases of static charged fluid spheres in general relativity
• Neutral perfect fluids and charged thin shells with electromagnetic mass in general relativity

Cited by in corpus (11)

• Orthogonal splitting of the Riemann curvature tensor and its implications in modeling compact stellar structures
• Effects of $f(\mathcal{R},\mathcal{T},{\mathcal{R}}_{\gamma \upsilon }{\mathcal{T}}^{\gamma \upsilon })$ Gravity on Anisotropic Charged Compact Structures
• Non-singular anisotropic solutions for strange star model in $f(\mathcal{R},\mathcal{T},{\mathcal{R}}_{\zeta \gamma }{\mathcal{T}}^{\zeta \gamma })$ gravity theory
• Effects of Non-minimal Matter-geometry Coupling on Embedding Class-one Anisotropic Solutions
• A perfect fluid model for compact stars
• Estimating the Role of Bag Constant and Modified Theory on Anisotropic Stellar Models
• Influence of Charge on Anisotropic Class-one Solution in Non-minimally Coupled Gravity
• Study of Charged Compact Stars in Non-minimally Coupled Gravity
• Anisotropic Stellar Models with Tolman IV Spacetime in Non-minimally Coupled Theory
• Charged Anisotropic Tolman IV Solution in Matter-Geometry Coupled Theory
• Possible existence of stable compact stars in $\kappa (\mathcal{R},\mathcal{T})-$gravity