Relativistic charged spheres: Compact stars, compactness and stable configurations

Abstract

This paper aims to explore a class of static stellar equilibrium configuration of relativistic charged spheres made of a charged perfect fluid. Solving the Einstein-Maxwell field equations, we consider a particularized metric potential, Buchdahl ansatz [ Phys. Rev.116, 1027 (1959)] and then by using a simple transformation. The study is developed by matching the interior region with Riessner-Nordstr$\dot{\text{o}}$m metric as an exterior solution. The matter content the charged sphere satisfies all the energy conditions and hydrostatic equilibrium equation, i.e. the modified Tolman-Oppenheimer-Volkoff (TOV) equation for the charged case is maintained. In addition to this, we also discuss some important properties of the charged sphere such as total electric charge, mass-radius relation, surface redshift, and the speed of sound are analyzed. Obtained solutions are presented by the graphical representation that provides strong evidence for a more realistic and viable stellar structure. Obtained results are compared with analogue objects with similar mass and radii, such as SAX J1808.4-3658, 4U 1538-52, PSR J1903+327, Vela X-1, and 4U1608-52. It is also noted that the Buchdahl ansatz for a given transformation provides a physically viable solution only for the charged case when $0<K<1$, where density and pressure are maximum at the center and monotonically decreasing towards the boundary. Obtained results are also quite important both from theoretical and astrophysical scale to analyze other compact objects such as white dwarfs, neutron stars, boson stars, and quark stars.

13 pages, 4 figures

References in corpus (22)

• Neutron Star Observations: Prognosis for Equation of State Constraints
• Bounds on the basic physical parameters for anisotropic compact general relativistic objects
• Nonadiabatic charged spherical gravitational collapse
• Singularity-free solutions for anisotropic charged fluids with Chaplygin equation of state
• Electrically Charged Strange Quark Stars
• Minimum mass-radius ratio for charged gravitational objects
• Analytical study of anisotropic compact star models
• Optical spectroscopy and photometry of SAX J1808.4-3658 in outburst
• The role of pressure anisotropy on the maximum mass of cold compact stars
• Analytical models for quark stars
• Tikekar superdense stars in electric fields
• A family of charged compact objects with anisotropic pressure
• A charged anisotropic well-behaved Adler-Finch-Skea solution Satisfying Karmarkar Condition
• Charged relativistic spheres with generalized potentials
• Compact stars with specific mass function
• Anisotropic charged core envelope star
• Charged Vaidya-Tikekar model for super compact star
• Generalised compact spheres in electric fields
• Incompressible relativistic spheres: Electrically charged stars, compactness bounds, and quasiblack hole configurations
• Raychaudhuri's equation and aspects of relativistic charged collapse
• Hydrostatic equilibrium of stars without electroneutrality constraint
• Inverse square law isothermal property in relativistic charged static distributions

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• Charged Anisotropic Finch-Skea-Bardeen Spheres
• Charged quark stars in metric $f(R)$ gravity
• Behavior of anisotropic fluids with Chaplygin equation of state in Buchdahl spacetime
• Anisotropic relativistic fluid spheres with a linear equation of state
• Isotropic uncharged model with compactness and stable con gurations
• Pulsar PSR B0943+10 as an isotropic Vaidya-Tikekar type compact star : A comprehensive study
• Perturbative correction terms to electromagnetic self-force due to metric perturbation : astrophysical and cosmological implications