Charged isotropic model with conformal symmetry

Matondo, D. Kileba; Maharaj, S. D.; Ray, Subharthi

doi:10.1007/s10509-018-3410-2

Cited by 25 publications

(5 citation statements)

References 30 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Newton Singh et al [15] discovered electrically charged dense stars in the presence of a static conformal Killing vector. Mafa Takisa et al [16], Kileba Matondo et al [17] and Kileba Matondo et al [18] generated new stellar models with conformal symmetries with radii, masses, densities and redshifts which are consistent with observed astronomical objects. These models have been found by integrating the Einstein-Maxwell field equations for selected forms of the metric functions.…”

Section: Introductionmentioning

confidence: 77%

Static conformal models for anisotropic charged fluids

2019

View full text Add to dashboard Cite

We investigate the role played by conformal symmetries in the study of exact solutions in static spherically symmetric spacetimes. We consider the gravitational field associated with anisotropic charged fluids. The existence of a conformal symmetry provides us with a functional relation between the metric functions. This relationship yields a general solution to the Einstein-Maxwell equations. Various conformally symmetric models for fluids that are charged or anisotropic or both are shown to be special cases of the general exact solution generated in this paper. In particular we generate a conformally flat Finch-Skea type model for an isotropic charged fluid.

show abstract

Section: Introductionmentioning

confidence: 77%

Static conformal models for anisotropic charged fluids

2019

View full text Add to dashboard Cite

show abstract

“…The relativistic equation of hydrostatic equilibrium for the interior structure of the neutron star in the presence of charge and anisotropy is given by the so-called generalized Tolman-Oppenheimer-Volkoff (TOV) equation [32]:…”

Section: Tolman-oppenheimer-volkoff Equationmentioning

confidence: 99%

“…Manjonjo et al [28,29] used the Weyl tensor for conformally flat and non-conformally flat spacetimes to establish a relationship between the static metric potentials. An extensive investigation of exact models for compact objects has been performed by Mafa Takisa et al [30] and Kileba Matondo et al [31,32] with the help of this conformal relationship. Some other authors such as Maurya et al [33], Esculpi and Aloma [34], Singh et al [35], Rahaman et al [36], Shee et al [37] and Deb et al [38] emphasized the importance of conformal invariance in compact stars.…”

Section: Introductionmentioning

confidence: 99%

“…The existence of a spacetime symmetry provides a geometric characterization of the model. In addition, the conformal Killing vector produces models which are physically realistic [30][31][32][33][34][35][36][37][38]. The existence of a conformal Killing vector in spherically symmetric spacetimes gives a relationship between the gravitational potentials [28,29].This provides a systematic approach of generating new exact solutions to the Einstein-Maxwell field equations.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

A Tolman-like Compact Model with Conformal Geometry

Matondo

Maharaj

2021

Entropy

View full text Add to dashboard Cite

In this investigation, we study a model of a charged anisotropic compact star by assuming a relationship between the metric functions arising from a conformal symmetry. This mechanism leads to a first-order differential equation containing pressure anisotropy and the electric field. Particular forms of the electric field intensity, combined with the Tolman VII metric, are used to solve the Einstein–Maxwell field equations. New classes of exact solutions generated are expressed in terms of elementary functions. For specific parameter values based on the physical requirements, it is shown that the model satisfies the causality, stability and energy conditions. Numerical values generated for masses, radii, central densities, surface redshifts and compactness factors are consistent with compact objects such as PSR J1614-2230 and SMC X-1.

show abstract

“…Despite this fact, isotropic solutions remain common assumptions in the study of compact objects since they can perfectly describe phenomena such as realistic stars, or even be used as models of cold fluid planets, or as well as the simple fact of expanding the collection of known isotropic solutions built so far is also valid (see for example, Refs. [15][16][17][18][19][20][21][22][23][24][25][26][27][28]).…”

Section: Introductionmentioning

confidence: 99%

An isotropic extension of Einstein’s universe solution through gravitational decoupling

Andrade

Santana

2022

Eur. Phys. J. C

View full text Add to dashboard Cite

In this work, we use the gravitational decoupling framework through the extended minimal geometric deformation to construct and study a new interior isotropic extension of Einstein’s universe solution. The resulting model fulfills the fundamental physical acceptance conditions. As well, we study the energy exchange between the Einstein’s fluid distribution and an extra perfect fluid which supports the resulting isotropic stellar configuration.

show abstract

Charged isotropic model with conformal symmetry

Cited by 25 publications

References 30 publications

Static conformal models for anisotropic charged fluids

Static conformal models for anisotropic charged fluids

A Tolman-like Compact Model with Conformal Geometry

An isotropic extension of Einstein’s universe solution through gravitational decoupling

Contact Info

Product

Resources

About