Relativistic stars with conformal symmetry

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

doi:10.1140/epjc/s10052-018-5928-4

Cited by 57 publications

(25 citation statements)

References 45 publications

(56 reference statements)

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“…(ω r = p r /ρ) and (ω t = p t /ρ) are less than 1, proving Zeldovich's condition is satisfies everywhere inside the compact object. Furthermore, in Table 1 we have shown the possible values of the physical parameters a, A and B using parameters values of the compact star SAX J1808.4-3658 with mass Table 2 shows that the central energy density is within this range, which is in complete agreement with many other reported results in the literature [45][46][47][48][49][50][51][52][53][54][55][57][58][59][60][61][63][64][65][66][67][68][69][70][71][72][73][74][75][76][77][78][79][80]. Figure 6 clearly shows that our stellar system fulfills all the energy conditions which are a basic condition for a compact astrophysical structure to be physically acceptable.…”

Section: Discussionsupporting

confidence: 86%

Anisotropic relativistic fluid spheres: an embedding class I approach

et al. 2019

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In this work, we present a new class of analytic and well-behaved solution to Einstein's field equations describing anisotropic matter distribution. It's achieved in the embedding class one spacetime framework using Karmarkar's condition. We perform our analysis by proposing a new metric potential g rr which yields us a physically viable performance of all physical variables. The obtained model is representing the physical features of the solution in detail, analytically as well as graphically for strange star candidate SAX J1808.4-3658 (Mass = 0.9 M , radius = 7.951 km), with different values of parameter n ranging from 0.5 to 3.4. Our suggested solution is free from physical and geometric singularities, satisfies causality condition, Abreu's criterion and relativistic adiabatic index Γ , and exhibits well-behaved nature, as well as, all energy conditions and equilibrium condition are well-defined, which implies that our model is physically acceptable. The physical sensitivity of the moment of inertia (I) obtained from the solutions is confirmed by the Bejger−Haensel concept, which could provide a precise tool to the matching rigidity of the state equation due to different values of n viz.,

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Section: Discussionsupporting

confidence: 86%

Anisotropic relativistic fluid spheres: an embedding class I approach

et al. 2019

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“…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: 78%

Static conformal models for anisotropic charged fluids

2019

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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.

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“…Again, we have shown that the most simple and "pedagogic" spherical matter solution -ρ = const-is very restricted and unphysical, but there has been much recent work with variable energy densities, satisfying all physical criteria, that seems to correspond to more realistic matter configurations [61,62].…”

Section: Final Remarksmentioning

confidence: 88%

Are there any models with homogeneous energy density?

et al. 2018

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By applying a recent method -based on a tetrad formalism in General Relativity and the orthogonal splitting of the Riemann tensor-to the simple spherical static case, we found that the only static solution with homogeneous energy density is the Schwarzschild solution and that there are no spherically symmetric dynamic solutions consistent with the homogeneous energy density assumption. Finally, a circular equivalence is shown among the most frequent conditions considered in the spherical symmetric case: homogeneous density, isotropy in pressures, conformally flatness and shear-free conditions. We demonstrate that, due to the regularity conditions at the center of the matter distribution, the imposition of two conditions necessarily leads to the static case.

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Relativistic stars with conformal symmetry

Cited by 57 publications

References 45 publications

Anisotropic relativistic fluid spheres: an embedding class I approach

Anisotropic relativistic fluid spheres: an embedding class I approach

Static conformal models for anisotropic charged fluids

Are there any models with homogeneous energy density?

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