Anisotropic spheres with Van der Waals-type equation of state

Thirukkanesh, S.; Ragel, F. C.

doi:10.1007/s12043-014-0766-x

Cited by 15 publications

(8 citation statements)

References 20 publications

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“…p r (0) = p t (0). (9) The solution should match the Riessner-Nordstrom exterior solution at the boundary. The metric for static spherically symmetric spacetimes can be given as ds 2 = −e 2ν(r) dt 2 + e 2λ(r) dr 2 + r 2 (dθ 2 + sin 2 θdφ 2 ).…”

Section: Field Equations For Charged Static Spherically Symmetric Spamentioning

confidence: 99%

“…Many solutions of the Einstein-Maxwell field equations have been obtained for anisotropic pressures. Thirukkanesh et al [8,9], Feroze [10], Mak et al [11], Malaver [12,13,14,15,16], Sunzu et al [17], Feroze et al [18,19], Maharaj et al [20,21], Takisa et al [22] and Sharma et al [23] obtained solutions of the Einstein-Maxwell field equations for charged static spherically symmetric spacetimes by assuming anisotropic pressure, in general, in all these solutions positive radial pressure is taken. Mauz et al [24,25] obtained a solution for dark energy star named gravastar in which the interior of the star has de-Sitter spacetime with negative pressure p = −ρ.…”

Section: Introductionmentioning

confidence: 99%

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Solution of the Einstein–Maxwell equations with anisotropic negative pressure as a potential model of a dark energy star

2016

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We have obtained a new class of solutions for the Einstein–Maxwell field equations for static spherically symmetric space–times by considering the negative anisotropic pressures, which represents a potential model of a dark energy star. We take the equation of state pr = −ρ, where pr is the radial pressure and ρ is the density. We have also checked that for these solutions metric coefficients, mass density, radial pressure, transverse pressure, electric field, and current density are well defined for suitable values of the parameters involved in the solution. These exact solutions can be used to develop models of dark energy stellar interiors satisfying all physical constraints except for the causality condition, which cannot be satisfied for the equation of state considered here, and which is arguably not an applicable physical constraint for dark matter–energy.

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Section: Field Equations For Charged Static Spherically Symmetric Spamentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Solution of the Einstein–Maxwell equations with anisotropic negative pressure as a potential model of a dark energy star

2016

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“…Anisotropic distributions with linear equation of state have been studied by Sharma and Maharaj (2007), Thirukkanesh and Maharaj (2008). Komathiraj and Maharaj (2007) given by Malaver (2013aMalaver ( ,b, 2014 and Thirukkanesh and Ragel (2014) have Van der Waals equation of state. Pandya et al (2014) have given anisotropic compact stars compatible with observational data by generalizing Finch and Skea (1989) model.…”

Section: Introductionmentioning

confidence: 99%

Anisotropic star on pseudo-spheroidal spacetime

Ratanpal

Thomas

Pandya

2016

Astrophys Space Sci

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A new class of exact solutions of Einstein's field equations representing anisotropic distribution of matter on pseudo-spheroidal spacetime is obtained.The parameters appearing in the model are restricted through physical requirements of the model. It is found that the models given in the present work is compatible with observational data of a wide variety of compact objects like 4U 1820-30, PSR J1903+327, 4U 1608-52, Vela X-1, PSR J1614-2230, SMC X-4, Cen X-3. A particular model of pulsar PSR J1614-2230 is studied in detail and found that it satisfies all physical requirements needed for physically acceptable model.

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“…Polytropic equations of state has been used by Ragel (2012) &Takisa (2013b). Malaver (2013aMalaver ( ,b, 2014 and Thirukkanesh and Ragel (2014) have used modified Van der Waals equation of state for describing anisotropic charged compact stars.…”

Section: Introductionmentioning

confidence: 99%

Compact stars on pseudo-spheroidal spacetime compatible with observational data

Thomas

Pandya

2015

Astrophys Space Sci

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A new class of solutions for Einstein's field equations representing a static spherically symmetric anisotropic distribution of matter is obtained on the background of pseudo-spheroidal spacetime. We have prescribed the bounds of the model parameters k and p 0 on the basis of the elementary criteria for physical acceptability, viz., regularity, stability and energy conditions. By taking the values of model parameters from the prescribed bounds, we have shown that our model is compatible with the observational data of a wide variety of compact stars like 4U 1820-30, PSR J1903+327, 4U 1608-52, Vela X-1, PSR J1614-2230, SMC X-4 and Cen X-3.

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Anisotropic spheres with Van der Waals-type equation of state

Cited by 15 publications

References 20 publications

Solution of the Einstein–Maxwell equations with anisotropic negative pressure as a potential model of a dark energy star

Solution of the Einstein–Maxwell equations with anisotropic negative pressure as a potential model of a dark energy star

Anisotropic star on pseudo-spheroidal spacetime

Compact stars on pseudo-spheroidal spacetime compatible with observational data

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