Generating solutions for charged stellar models in general relativity
arXiv:2004.07047 · doi:10.1140/epjc/s10052-021-09025-8
Abstract
It is shown that the expressions for the tangential pressure, the anisotropy factor and the radial pressure in the Einstein - Maxwell equations may serve as generating functions for charged stellar models. The latter can incorporate an equation of state when the expression for the energy density is also used. Other generating functions are based on the condition for the existence of conformal motion (conformal flatness in particular) and the Karmarkar condition for embedding class one metrics, which do not depend on charge. In all these cases the equations are linear first order differential equations for one of the metric components and Riccati equations for the other. The latter may be always transformed into second order homogenous linear differential equations. These conclusions are illustrated by numerous particular examples from the study of charged stellar models.
arXiv comment16 pages, no figures. arXiv admin note: substantial text overlap with arXiv:2004.00907
References in corpus (33)
- Maximum bounds on the surface redshift of anisotropic stars
- All static spherically symmetric anisotropic solutions of Einstein's equations
- All static spherically symmetric perfect fluid solutions of Einstein's Equations
- Charged anisotropic matter with linear or nonlinear equation of state
- Charged anisotropic matter with linear equation of state
- Singularity-free solutions for anisotropic charged fluids with Chaplygin equation of state
- Status of atmospheric neutrino(mu)<-->neutrino(tau) oscillations and decoherence after the first K2K spectral data
- The importance of anisotropy for relativistic fluids with spherical symmetry
- Generating perfect fluid spheres in general relativity
- Quark star model with charged anisotropic matter
- A family of charged compact objects with anisotropic pressure
- Spacetime geometry of static fluid spheres
- A charged anisotropic well-behaved Adler-Finch-Skea solution Satisfying Karmarkar Condition
- All spherically symmetric charged anisotropic solutions for compact star
- Charged compact objects in the linear regime
- Anisotropic strange stars in the Einstein-Maxwell spacetime
- New anisotropic models from isotropic solutions
- A family of Finch and Skea relativistic stars
- Anisotropic charged core envelope star
- Relativistic charged spheres: Compact stars, compactness and stable configurations
- Relativistic compact stars with charged anisotropic matter
- Relativistic electromagnetic mass models in spherically symmetric spacetime
- Generalised isothermal models with strange equation of state
- Modeling of charged anisotropic compact stars in general relativity
- Linear and Riccati equations in generating functions for stellar models in general relativity
- Effective black-to-white hole bounces: The cost of surgery
- A new model for spherically symmetric anisotropic compact star
- A new algorithm for anisotropic solutions
- New charged anisotropic compact models
- Solution generating theorems for perfect fluid spheres
- Charged Anisotropic Star on Paraboloidal Spacetime
- A New Class of Anisotropic Charged Compact Star
- Charged Polytropic Models on Finch-Skea Spacetime