Static charged perfect fluid spheres in general relativity

Abstract

Interior perfect fluid solutions for the Reissner-Nordstrom metric are studied on the basis of a new classification scheme. General formulas are found in many cases. Explicit new global solutions are given as illustrations. Known solutions are briefly reviewed.

23 pages, Revtex (galley), journal version, to appear in Phys.Rev.D

References in corpus (1)

• Integrable cases of gravitating static isothermal fluid spheres

Cited by in corpus (102)

• Electrically charged compact stars and formation of charged black holes
• Charged anisotropic matter with linear or nonlinear equation of state
• Charged anisotropic matter with linear equation of state
• Sharp bounds on the critical stability radius for relativistic charged spheres
• Strange stars in Krori-Barua space-time
• Nonadiabatic charged spherical gravitational collapse
• Singularity-free solutions for anisotropic charged fluids with Chaplygin equation of state
• Some charged polytropic models
• Anisotropic Compact stars in the Buchdahl model: A comprehensive study
• Charged gravastars admitting conformal motion
• Regular models with quadratic equation of state
• Charged anisotropic models for quark stars
• Physically viable solutions of anisotropic spheres in $f(\mathcal{R},\mathcal{G})$ gravity satisfying the Karmarkar condition
• Anisotropic compact stars in $f(R)$ gravity
• Analytical study of anisotropic compact star models
• Classes of exact Einstein-Maxwell solutions
• Tikekar superdense stars in electric fields
• A New Model of Quintessence Compact Stars in Rastall Theory of Gravity
• Quark star model with charged anisotropic matter
• The (2+1)-dimensional charged gravastars
• A charged anisotropic well-behaved Adler-Finch-Skea solution Satisfying Karmarkar Condition
• Secondary component of gravitational-wave signal GW190814 as an anisotropic neutron star
• All spherically symmetric charged anisotropic solutions for compact star
• Bardeen Stellar Structures with Karmarkar Condition
• Radiating Shear-Free Gravitational Collapse with Charge
• A conformally flat realistic anisotropic model for a compact star
• Uncharged and charged anisotropic like--Durgapal stellar model with vanishing complexity
• New anisotropic models from isotropic solutions
• Electrically Charged Quark Stars in $4D$ Einstein-Gauss-Bonnet Gravity
• Stellar objects in the quadratic regime
• Quasi-Black Holes from Extremal Charged Dust
• A comparative study between EGB gravity and GTR by modelling compact stars
• Charged relativistic spheres with generalized potentials
• Charged Vaidya-Tikekar model for super compact star
• Self--similar and charged radiating spheres: An anisotropic approach
• Generalised spheroidal spacetimes in 5-D Einstein--Maxwell--Gauss--Bonnet gravity
• Stable and self consistent charged gravastar model within the framework of $f(R,T)$ gravity
• Possible Physical Realizations of the Tolman VII solution
• Superradiance without event horizons in General Relativity
• Tolman-Bayin type static charged fluid spheres in general relativity
• Simple Black Holes with Anisotropic Fluid
• Relativistic charged spheres: Compact stars, compactness and stable configurations
• Generalised compact spheres in electric fields
• $\Lambda$-CDM Universe: A Phenomenological Approach With Many Possibilities
• Effects of long-range forces on the D-term and the energy-momentum structure
• Bonnor stars in d spacetime dimensions
• Exact Relativistic Static Charged Perfect Fluid Disks
• Convection and cracking stability of spheres in General Relativity
• Gravitational collapse of spherically symmetric plasmas in Einstein-Maxwell spacetimes
• Gravitational magnetic monopoles and Majumdar-Papapetrou stars
• A family of well behaved charge analogues of Durgapal's perfect fluid exact solution in general relativity
• An electromagnetic extension of the Schwarzschild interior solution and the corresponding Buchdahl limit
• Noether and Lie symmetries for charged perfect fluids
• Electrically charged fluids with pressure in Newtonian gravitation and general relativity in d spacetime dimensions: theorems and results for Weyl type systems
• Role of Complexity on the Minimal Deformation of Black Holes
• Charged strange star model in Tolman-Kuchowicz spacetime in the background of 5D Einstein-Maxwell-Gauss-Bonnet gravity
• A class of exact solutions of Einstein's field equations in higher dimensional spacetimes, d$\ge 4$: Majumdar-Papapetrou solutions
• Anisotropic Spheres Via Embedding Approach in $f(R,\varphi ,X)$ Gravity
• Charged Anisotropic Finch-Skea-Bardeen Spheres
• Self-gravitating spheres of anisotropic fluid in geodesic flow
• Effects of Electromagnetic Field on Energy Density Inhomogeneity in Self-Gravitating Fluids
• Detecting electric charge with Extreme Mass Ratio Inspirals
• Relativistic Polytropic Models of Charged Anisotropic Compact Object
• Physical properties of Tolman-Bayin solutions: some cases of static charged fluid spheres in general relativity
• Construction of Sources for Majumdar-Papapetrou Spacetimes
• Charged Analogues of Isotropic Compact Stars Model with Buchdahl Metric in General Relativity
• Relativistic structure of charged quark stars in energy-momentum squared gravity
• On Bianchi type III Cosmological Model with Quadratic EoS in Lyra Geometry
• Generating potentials via difference equations
• Anisotropic relativistic fluid spheres with a linear equation of state
• Effects of Electromagnetic Field on the Structure of Massive Compact Objects
• A new well behaved class of charge analogue of Adler's relativistic exact solution
• Charged Annular Disks and Reissner-Nordström Type Black Holes from Extremal Dust
• Neutral perfect fluids and charged thin shells with electromagnetic mass in general relativity
• Nonadiabatic charged spherical evolution in the postquasistatic approximation
• Charged perfect fluid configurations with a dilaton field
• A fifth order differential equation for charged perfect fluids
• On the uniqueness of harmonic coordinates
• Inverse square law isothermal property in relativistic charged static distributions
• Black hole in closed spacetime with an anisotropic fluid
• Deflection angle with electromagnetic interaction and gravitational-electromagnetic dual lensing
• A family of solutions to the Einstein-Maxwell system of equations describing relativistic charged fluid spheres
• Noncommutative geometry inspired 3-dimensional charged black hole solution in an anti-de Sitter background space-time
• Exact Anisotropic Solutions of the Generalized TOV Equation
• Isotropic uncharged model with compactness and stable con gurations
• Pulsar PSR B0943+10 as an isotropic Vaidya-Tikekar type compact star : A comprehensive study
• Impact of Non-metricity and Matter Source on the Geometry of Anisotropic Spheres
• When gravitational decoupling and quantum gravity (re)unite
• Cylinder with Charged Anisotropic Source
• Relativistic compact stars in the Kuchowicz spacetime
• Relativistic anisotropic charged fluid spheres with varying cosmological constant
• Structural properties of charged compact stars with color-flavour-locked quarks matter
• Purely electromagnetic spacetimes
• Electrically charged compact stars with an interacting quark equation of state
• First integrals for charged perfect fluid distributions
• General Relativistic Non-Neutral White Dwarf Stars
• Rotating charged fluids: Theorems and results for Weyl-type systems
• Report on workshop A1: Exact solutions and their interpretation
• Charged cosmological dust solutions of the coupled Einstein and Maxwell equations
• Stability of neutral and charged Dyson shells around Reissner-Nordstrom compact objects
• Static Charged Polytropic Spheres with a Cosmological Constant: Physical Acceptability and Trapped Orbits
• Self-gravitating charged fluid spheres with anisotropic pressures