Prediction of stellar masses with Finch and Skea geometry

Matondo, D. Kileba; Takisa, P. Mafa; Maharaj, S. D.; Ray, Subharthi

doi:10.1007/s10509-017-3168-y

Cited by 10 publications

(2 citation statements)

References 32 publications

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“…The central density ρ c = 1.55 × 10 15 gcm −3 and central pressure p c = 1.76 × 10 34 dyne/cm 2 of the compact object SMC X-1 with lower mass M = 1.04 M are greater compared with the numerical values ρ c = 8.4 × 10 14 gcm −3 and p c = 1.235 × 10 34 dyne/cm 2 associated to PSR J1614-2230 as reported in Table 3. This behaviour has also been observed in the works of Singh et al [35], Sharma and Ratanpal [41] and Kileba Matondo et al [42]. The anisotropic pressure function is plotted in Figure 4 and the profiles show for both stellar candidates that it is an increasing function with increasing radius r and attains a maximum value at the surface.…”

Section: Physical Analysissupporting

confidence: 82%

A Tolman-like Compact Model with Conformal Geometry

Matondo

Maharaj

2021

Entropy

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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.

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Section: Physical Analysissupporting

confidence: 82%

A Tolman-like Compact Model with Conformal Geometry

Matondo

Maharaj

2021

Entropy

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“…References may be found in [15]. Some recent references include [16][17][18][19][20][21][22][23][24][25][26][27][28][29][30][31].…”

Section: Introductionmentioning

confidence: 99%

Some families of relativistic anisotropic compact stellar models embedded in pseudo-Euclidean space $$E^5$$ E 5 : an algorithm

Murad

2018

Eur. Phys. J. C

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This work presents an algorithm for modeling a static spherically symmetric compact object satisfying the Eiesland condition (Eiesland in Am Math Soc 27:213, 1925), a necessary and sufficient condition that a general centrosymmetric space shall be of the class 1. The model parameters are obtained accordingly by employing the boundary conditions to the interior solutions. The equation of state has been extracted from the solution and one found that it is almost linear. These models are free of physical and geometric singularities and satisfy the necessary physical conditions to have astrophysical significance. The central and surface densities, and pressures of some compact stars like PSR J1614-2230, Vela X-1 have been calculated from these models. Detailed analyses of these models have also been made with the help of numerical and graphical studies. Fatema, Department of General Education, Daffodil International University, Dhaka-1207, Bangladesh, for her motivation, inspiration and continuous support. The author also acknowledges the library of BRAC university for the facilities provided. The author also expresses his sincere gratitude to the anonymous reviewer for the constructive comments.

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Anisotropic extension of Finch and Skea stellar model

Sharma¹,

Das²,

Thirukkanesh³

2017

Astrophys Space Sci

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In this paper, the spacetime geometry of Finch and Skea [Class. Quantum Grav. 6 (1989) 467] has been utilized to obtain closed-form solutions for a spherically symmetric anisotropic matter distribution. By examining its physical admissibility, we have shown that the class of solutions can be used as viable models for observed pulsars. In particular, a specific class of solutions can be used as an 'anisotropic switch' to examine the impact of anisotropy on the gross physical properties of a stellar configuration. Accordingly, the mass-radius relationship has been analyzed.

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Prediction of stellar masses with Finch and Skea geometry

Cited by 10 publications

References 32 publications

A Tolman-like Compact Model with Conformal Geometry

A Tolman-like Compact Model with Conformal Geometry

Some families of relativistic anisotropic compact stellar models embedded in pseudo-Euclidean space $$E^5$$ E 5 : an algorithm

Anisotropic extension of Finch and Skea stellar model

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