Stellar objects in the quadratic regime

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

doi:10.1007/s10509-014-2120-7

Cited by 55 publications

(44 citation statements)

References 30 publications

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“…The value of the stellar radius R is in the range of 7.80-10.30 km, and the mass in the range of 1.49-1.97 M . Similar mass values were obtained by Gangopadhyay et al [30] and Mafa Takisa et al [21,22]. The compactification factor M R is in the range of neutron stars and ultracompact stars.…”

Section: Physical Analysissupporting

confidence: 87%

“…The resulting values are presented in Table 1. We note that the central density decreases with the decrease of the mass; this feature was also reported in the work of Mafa Takisa et al [21,22]. Secondly, the parameter n has a fixed value but the parameter b is allowed to vary.…”

Section: Physical Analysissupporting

confidence: 82%

“…In this situation the central density increases with a decrease in mass. The behaviour of decreasing central density is present in the investigations of Mafa Takisa et al [21,22] and Murad [33]. The behaviour of increasing central density is present in the work of Sharma and Ratanpal [23], Singh et al [24] and Bhar [34].…”

Section: Resultsmentioning

confidence: 99%

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Spherical conformal models for compact stars

et al. 2017

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We consider spherical exact models for compact stars with anisotropic pressures and a conformal symmetry. The conformal symmetry condition generates an integral relationship between the gravitational potentials. We solve this condition to find a new anisotropic solution to the Einstein field equations. We demonstrate that the exact solution produces a relativistic model of a compact star. The model generates stellar radii and masses consistent with PSR J1614-2230, Vela X1, PSR J1903+327 and Cen X-3. A detailed physical examination shows that the model is regular, well behaved and stable. The mass-radius limit and the surface red shift are consistent with observational constraints.

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Section: Physical Analysissupporting

confidence: 87%

Section: Physical Analysissupporting

confidence: 82%

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Spherical conformal models for compact stars

et al. 2017

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“…Varela et al [19] established a general approach indicating the role played by an equation of state in the process of dealing with anisotropic matter. Linear relationships involving radial pressure and the energy density exist in anisotropic stellar models of Mafa Takisa et al [20], Sunzu et al [21,22] and Kileba Matondo and Maharaj [23]. Recently, a new approach with anisotropic pressure has been investigated with the Finch and Skea geometry by Maharaj et al [24] and Kileba Matondo et al [25].…”

Section: Introductionmentioning

confidence: 99%

Relativistic stars with conformal symmetry

2018

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We study exact models for anisotropic gravitating stars with conformal symmetry. The gravitational potentials are related explicitly by the conformal vector. We use this relationship between the metric potentials to find new classes of exact solutions to the field equations. We identify a particular model to study the physical features and demonstrate that the model is well behaved. In particular the criteria for stability are satisfied. We regain masses, radii and surface redshifts for the compact objects PSR J1614-2230 and SAX J1808.4-3658.

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“…These solutions have the desirable property of regularity at the stellar centre. Mafa Takisa et al (2014b) modelled a charged general relativistic star with a quadratic equation of state. They showed their results were consistent with several masses of stellar objects, in particular with the star PSR J1614-2230.…”

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confidence: 99%

Compact stars with quadratic equation of state

Ngubelanga

Maharaj

Ray

2015

Astrophys Space Sci

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We provide new exact solutions to the EinsteinMaxwell system of equations for matter configurations with anisotropy and charge. The spacetime is static and spherically symmetric. A quadratic equation of state is utilised for the matter distribution. By specifying a particular form for one of the gravitational potentials and the electric field intensity we obtain new exact solutions in isotropic coordinates. In our general class of models, an earlier model with a linear equation of state is regained. For particular choices of parameters we regain the masses of the stars PSR J1614-2230, 4U 1608-52, PSR J1903+0327, EXO 1745-248 and SAX J1808.4-3658. A comprehensive physical analysis for the star PSR J1903+0327 reveals that our model is reasonable.

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Stellar objects in the quadratic regime

Cited by 55 publications

References 30 publications

Spherical conformal models for compact stars

Spherical conformal models for compact stars

Relativistic stars with conformal symmetry

Compact stars with quadratic equation of state

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