# A charged anisotropic well-behaved Adler–Finch–Skea solution satisfying Karmarkar condition

@article{Bhar2017ACA, title={A charged anisotropic well-behaved Adler–Finch–Skea solution satisfying Karmarkar condition}, author={Piyali Bhar and Ksh. Newton Singh and Farook Rahaman and Neeraj Pant and Sumita Banerjee}, journal={International Journal of Modern Physics D}, year={2017}, volume={26}, pages={1750078} }

In the present paper, we discover a new well-behaved charged anisotropic solution of Einstein–Maxwell’s field equations. We ansatz the metric potential g00 of the form given by Maurya el al. (Eur. Phys. J. C 76(2) (2016) 693) with n = 2. In their paper, it is mentioned that for n = 2, the solution is not well-behaved for neutral configuration as the speed of sound is nondecreasing radially outward. However, the solution can represent a physically possible configuration with the inclusion of…

## 39 Citations

### Charged anisotropic Finch–Skea–Bardeen spheres in f(R) gravity with Karmarkar condition

- Physics
- 2021

The main motivation of this study was to probe the compact stars solution with the help of Karmarkar condition in the background of f ( R ) theory of gravity. To do so, we assume a viable and…

### Anisotropic fluid spheres satisfying the Karmarkar condition

- PhysicsModern Physics Letters A
- 2019

In this paper, we present new physically viable interior solutions of the Einstein field equations for static and spherically symmetric anisotropic compact stars satisfying the Karmarkar condition.…

### Anisotropic fluid spheres of embedding class one using Karmarkar condition

- Physics
- 2017

We obtain a new anisotropic solution for spherically symmetric spacetimes by analyzing the Karmarkar embedding condition. For this purpose we construct a suitable form of one of the gravitational…

### Physically Acceptable Embedded Class-I Compact Stars in Modified Gravity with Karmarkar Condition

- PhysicsSymmetry
- 2020

It is seen that the presented model violates all the physical conditions for n ∈ { 2, 4, 6 } , while some of these for large values of λ .

### Relativistic charged spheres: compact stars, compactness and stable configurations

- PhysicsJournal of Cosmology and Astroparticle Physics
- 2019

This paper aims to explore a class of static stellar equilibrium configuration of relativistic charged spheres made of a charged perfect fluid. For solving the Einstein-Maxwell field equations, we…

### Physical plausibility of cold star models satisfying Karmarkar conditions

- Physics
- 2017

Abstract.In the present article, we have obtained a new well behaved solution to Einstein’s field equations in the background of Karmarkar spacetime. The solution has been used for stellar modelling…

### Compact star models in class I spacetime

- PhysicsThe European Physical Journal C
- 2019

In the present article, we have presented completely new exact, finite and regular class I solutions of Einstein’s field equations i.e. the solutions satisfy the Karmarkar condition. For this purpose…

### Embedded class solutions compatible for physical compact stars in general relativity

- Physics
- 2018

Abstract.We have explored a family of new solutions satisfying Einstein’s field equations and Karmarkar condition. We have assumed an anisotropic stress-tensor with no net electric charge.…

### Conformally non-flat spacetime representing dense compact objects

- Physics
- 2017

A new conformally non-flat interior spacetime embedded in five-dimensional (5D) pseudo Euclidean space is explored in this paper. We proceed our calculation with the assumption of spherically…

### Relativistic compact stars with charged anisotropic matter

- Physics
- 2017

In this article, we perform a detailed theoretical analysis of new exact solutions with anisotropic fluid distribution of matter for compact objects subject to hydrostatic equilibrium. We present a…

## References

SHOWING 1-10 OF 49 REFERENCES

### Solutions of the Einstein’s field equations with anisotropic pressure compatible with cold star model

- Physics
- 2016

In this paper we obtain a new static and spherically symmetric model of compact star whose spacetime satisfies Karmarkar’s condition (1948). The Einstein’s field equations are solved by employing a…

### A family of well-behaved Karmarkar spacetimes describing interior of relativistic stars

- Physics
- 2016

We present a family of new exact solutions for relativistic anisotropic stellar objects by considering a four-dimensional spacetime embedded in a five-dimensional pseudo Euclidean space, known as…

### A family of well behaved charge analogues of a well behaved neutral solution in general relativity

- Physics
- 2011

A family of charge analogues of a neutral solution with g44=(1+Cr2)6 has been obtained by using a specific electric intensity, which involves a parameter K. Both neutral and charged solutions are…

### Charged anisotropic Buchdahl solution as an embedding class I spacetime

- Physics
- 2016

We present a new solution of embedding class I describing the interior of a spherically symmetric charged anisotropic stellar configuration. The exact analytic solution has been explored by…

### Some analytic models of relativistic compact stars

- Physics
- 2016

We present charged anisotropic Durgapal IV interior solutions of the general relativistic field equations in curvature coordinates. These exact solutions can be used to model stable and well-behaved…

### A new solution of embedding class I representing anisotropic fluid sphere in general relativity

- Physics
- 2016

In the present paper we are willing to model anisotropic star by choosing a new grr metric potential. All the physical parameters like the matter density, radial and transverse pressure and are…

### Anisotropic charged fluids with Chaplygin equation of state in (2+1)$(2+1)$ dimension

- Physics
- 2015

Present paper provides a new non-singular model for anisotropic charged fluid sphere in (2+1$2+1$)-dimensional anti de-Sitter spacetime corresponding to the exterior BTZ spacetime (Banados et al.,…

### Strange quintessence star in Krori–Barua spacetime

- Physics
- 2015

In the present paper a new model of a compact star is obtained by utilizing the Krori–Barua (KB) ansatz [Krori and Barua in J. Phys. A, Math. Gen. 8:508, 1975] in the presence of a quintessence field…

### Singularity free charged anisotropic solutions of Einstein–Maxwell field equations in general relativity

- Physics
- 2016

In this paper, we present generalization of anisotropic analogue of charged Heintzmann’s solution of the general relativistic field equations in curvature coordinates. These exact solutions are…

### A comparative analysis of the adiabatic stability of anisotropic spherically symmetric solutions in general relativity

- Physics
- 2007

A family of static solutions of the Einstein field equations with spherical symmetry for a locally anisotropic fluid with homogeneous energy density is obtained. These solutions depend on two…