Effect of electric charge on anisotropic compact stars in conformally symmetric spacetime

Singh, Ksh. Newton; Bhar, Piyali; Rahaman, Farook; Pant, Neeraj

doi:10.1088/2399-6528/aa9c50

Cited by 25 publications

(16 citation statements)

References 40 publications

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“…The anisotropic distributions, where charge is absent, correspond to the results of Rahaman et al [35], Rahaman et al [36], Shee et al [14], Mafa Takisa et al [16], Esculpi and Aloma [37]. Models with both charge and anisotropy, include particular exact solutions of Esculpi and Aloma [37] and Newton Singh et al [15]. It is clear that other exact solutions can be generated by considering other functional forms of the anisotropy Δ and charge E. Our general conformal solution provides a unifying basis for particular solutions that exist.…”

Section: Known Solutionssupporting

confidence: 76%

“…Shee et al [14] found anisotropic compact relativistic stars with nonstatic conformal symmetry. 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.…”

Section: Introductionmentioning

confidence: 99%

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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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Section: Known Solutionssupporting

confidence: 76%

Section: Introductionmentioning

confidence: 99%

Static conformal models for anisotropic charged fluids

2019

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“…The third method is using conformal killing vector. Here the bridge equation is [56], [57], [58], [59]eν=c2r2exp⁡true(badbreakafter−2kB∫eλfalse/2rdrtrue) where A , B , C and k are constants. We can see that the second and third method are very much similar except one is with normalcosh2 and other with exponential function.…”

Section: Discussionmentioning

confidence: 99%

A generalized class one static solution

Singh

Bhar

Laishram

et al. 2019

Heliyon

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In literature, there are three simplest methods of solving Einstein's field equations, namely, (a) assuming conformally flat spacetime, (b) using conformal killing vector and (c) using Karmarkar conditions. In all these approaches the two metric functions and are link via a bridge. However, the first two approaches are facing a critical failure while determining central red-shift while the last method always yields well-behaved solution. Therefore, we are adopting the last method and discover a generalized class one solution. It is found that the maximum mass and radius of the compact star describe by the solution strongly depends on the parameter n . As n increases the maximum mass and radius also increases. For 3.3 , 1.459 and 9.52 , and for 4.8 have 1.766 with 10.31 . For 4.8 the equation of state is behaving linearly as the speed of sound is almost constant at 0.333. In overall the presented solution is well-behaved in all respects.

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“…Only a few results have been found for compact objects, and only for the special case of a conformal Killing vector. Shee et al [19], and Newton Singh et al [20] analytically obtained new exact spherically symmetric solutions with conformal geometry for compact stars in strong gravitational fields. We expect that a comprehensive analysis of conformal symmetries will provide deeper insights into many other astrophysical situa-tions.…”

Section: Introductionmentioning

confidence: 99%

Generalized anisotropic models for conformal symmetry

2019

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We find a new family of exact solutions to the Einstein system of equations with an anisotropic fluid distribution for a spherically symmetric spacetime containing a conformal Killing vector. Simple analytic expressions describe the matter variables and the metric functions which are regular at the centre and the interior of the body. We demonstrate that the new class of exact solutions is physically reasonable and may be utilized to model a compact object. A detailed graphical analysis of the matter variables shows that the criteria for physical acceptability are satisfied. The energy conditions are satisfied, causality is not violated, and the body is stable in terms of cracking, the Harrison-Zeldovich-Novikov stability criterion, and the adiabatic index inequality. It is, therefore, possible to geometrically describe a compact object with a conformal symmetry for an astrophysical application.

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Effect of electric charge on anisotropic compact stars in conformally symmetric spacetime

Cited by 25 publications

References 40 publications

Static conformal models for anisotropic charged fluids

Static conformal models for anisotropic charged fluids

A generalized class one static solution

Generalized anisotropic models for conformal symmetry

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