Fluid sphere: Stability problem and dimensional constraint

Rahaman, Farook; Pradhan, Anirudh; Ahmed, Nasr; Ray, Saibal; Saha, Bijan; Rahaman, Mosiur

doi:10.1142/s0218271815500492

Cited by 19 publications

(13 citation statements)

References 52 publications

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“…Bhar et al [29] provide a new class of interior solutions for anisotropic stars admitting conformal motion in higher dimensional noncommutative spacetime by choosing a particular density distribution function of Lorentzian type as provided by Nazari and Mehdipour [30,31] under a noncommutative geometry. Anisotropic star model admitting conformal motion have been obtained by Rahaman et al [32,33]. A charged gravastar admitting conformal motion has been studied by Usmani et al [34] and Bhar [35] has generalized this result in higher dimension.…”

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confidence: 94%

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

et al. 2018

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We obtain a new class of interior solutions for charged anisotropic stars which admits non-static conformal motion. The Einstein-Maxwell field equations are solved by taking a physically reasonable choice for the g rr metric co-efficient and a suitable expression for charge density. From the analysis we have shown that there is a central singularity on space-time by calculating Kretschmann scalar though the central density and central pressure are finite. The emphasis are given on the causality condition and the stability analysis of the model. The masses and radii of the compact stars PSR J16142230, PSR J1903+327 and LMC X-4 obtained from the model are well match with the observed values provided by Gangopadhyay et al (2013 Mon. Not. R. Astron. Soc. 431 3216)

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confidence: 94%

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

et al. 2018

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“…A class of solutions for anisotropic stars admitting conformal motion have been studied by Rahaman et al [30]. In a very recent work Rahaman et al [31] have also described conformal motion in higherdimensional spacetimes. A charged gravastar admitting conformal motion has been studied by Usmani et al [32].…”

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confidence: 99%

Possibility of higher-dimensional anisotropic compact star

et al. 2015

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We provide a new class of interior solutions for anisotropic stars admitting conformal motion in higherdimensional noncommutative spacetime. The Einstein field equations are solved by choosing a particular density distribution function of Lorentzian type as provided by Nazari and Mehdipour [1,2] under a noncommutative geometry. Several cases with 4 and higher dimensions, e.g. 5, 6, and 11 dimensions, are discussed separately. An overall observation is that the model parameters, such as density, radial pressure, transverse pressure, and anisotropy, all are well behaved and represent a compact star with mass 2.27 M and radius 4.17 km. However, emphasis is put on the acceptability of the model from a physical point of view. As a consequence it is observed that higher dimensions, i.e. beyond 4D spacetime, exhibit several interesting yet bizarre features, which are not at all untenable for a compact stellar model of strange quark type; thus this dictates the possibility of its extra-dimensional existence.

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“…Several works performed by using this technique of conformal motion to the astrophysical field can be found in Refs. [34,[66][67][68][69][70][71][72][73]. Interior solutions admitting conformal motions also had been studied extensively by Herrera et al [74][75][76][77].…”

Section: Introductionmentioning

confidence: 99%

Compact stars in $$f(R,\mathcal {T})$$ f ( R , T ) gravity

et al. 2016

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In the present paper we generate a set of solutions describing the interior of a compact star under f (R, T ) theory of gravity which admits conformal motion. An extension of general relativity, the f (R, T ) gravity is associated to Ricci scalar R and the trace of the energy-momentum tensor T . To handle the Einstein field equations in the form of differential equations of second order, first of all we adopt the Lie algebra with conformal Killing vectors (CKV) which enable one to get a solvable form of such equations and second we consider the equation of state (EOS) p = ωρ with 0 < ω < 1 for the fluid distribution consisting of normal matter, ω being the EOS parameter. We therefore analytically explore several physical aspects of the model to represent behavior of the compact stars such as-energy conditions, TOV equation, stability of the system, Buchdahl condition, compactness and redshift. It is checked that the physical validity and the acceptability of the present model within the specified observational constraint in connection to a dozen of the compact star candidates are quite satisfactory.

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Fluid sphere: Stability problem and dimensional constraint

Cited by 19 publications

References 52 publications

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

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

Possibility of higher-dimensional anisotropic compact star

Compact stars in $$f(R,\mathcal {T})$$ f ( R , T ) gravity

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