On hypersurface-homogeneous space-times

Hajj-Boutros, Joseph

doi:10.1063/1.526812

Cited by 33 publications

(13 citation statements)

References 8 publications

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“…Hajj-Boutros (1985) developed a method to build exact solutions of field equations in case of the metric (1) in presence of perfect fluid and obtained exact solutions of the field equations which add to the rare solutions not satisfying the barotropic equation of state. Some hypersurfacehomogeneous cosmological models with bulk viscous fluid and time-dependent cosmological term are investigated by Verma and Shri Ram (2010 …”

Section: The Model and The Field Equationsmentioning

confidence: 99%

Hypersurface-homogeneous space-time with anisotropic dark energy in scalar tensor theory of gravitation

Katore

Shaikh²

2015

Astrophys Space Sci

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Section: The Model and The Field Equationsmentioning

confidence: 99%

Hypersurface-homogeneous space-time with anisotropic dark energy in scalar tensor theory of gravitation

Katore

Shaikh²

2015

Astrophys Space Sci

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“…Starting from a metric of the form (1), Stewart and Ellis (1968) have obtained general solutions of Einstein's field equations for a perfect fluid satisfying a barotropic equation of state. Hajj-Boutros (1985) proposed a method to build exact solutions of field equations in case of the metric (1) in presence of a perfect fluid and obtained exact solutions of the field equations which add to the rare solutions not satisfying the barotropic equation of state. Recently, Verma and Shri Ram (2010b) presented some hypersurfacehomogeneous bulk viscous fluid cosmological models with time-dependent term.…”

Section: The Metric and Field Equationsmentioning

confidence: 99%

Bulk viscous fluid hypersurface–homogeneous cosmological models with time varying G and Λ

Ram

Verma

2010

Astrophys Space Sci

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Hypersurface-homogeneous cosmological models containing a bulk viscous fluid with time varying G and have been presented. We have shown that the field equations are solvable for any arbitrary cosmic scale function. The viscosity coefficient of bulk viscous fluid is assumed to be a power function of the energy density. Exact solutions of Einstein's field equations are obtained which represent an expanding, shearing and accelerating/decelerating models of the universe. The physical and kinematical behaviours of the models are also discussed.

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“…We consider the Hypersurface-homogeneous space time of the form, [53] developed a method to find exact solutions of field equations in case of the metric (11) in presence of perfect fluid and obtained exact solutions of the field equations which add to the rare solutions not satisfying the barotropic equation of state. Hypersurface-homogeneous bulk viscous fluid cosmological models with time-dependent cosmological term have been discussed by Chandel et al [54].…”

Section: Metric and Field Equationsmentioning

confidence: 99%

Hypersurface-Homogeneous Universe with Λ in <i>f</i>(<i>R,T</i>) Gravity by Hybrid Expansion Law

Shaikh¹,

Wankhade²

2017

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Abstract. In the present study we investigate, Hypersurface-Homogeneous cosmological model in f(R,T) theory of gravity with a term Λ. We obtain the gravitational field equations in the metric formalism, which follow from the covariant divergence of the stress-energy tensor. The field equations correspond for a specific choice of f(R,T)=f 1 (R)+f 2 (T), with the individual superior functions f 1 (R)=λR and f 2 (T)=λT. In this paper, we consider a simple form of expansion history of Universe referred to as the hybrid expansion law − a product of power-law and exponential type of functions. Einstein's field equations have been solved by taking into account the hybrid expansion law for scale factor that yields time dependent deceleration parameter (DP). Some physical and geometric properties of the model along with physical acceptability of the solutions have also been discussed in detail.

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On hypersurface-homogeneous space-times

Cited by 33 publications

References 8 publications

Hypersurface-homogeneous space-time with anisotropic dark energy in scalar tensor theory of gravitation

Hypersurface-homogeneous space-time with anisotropic dark energy in scalar tensor theory of gravitation

Bulk viscous fluid hypersurface–homogeneous cosmological models with time varying G and Λ

Hypersurface-Homogeneous Universe with Λ in <i>f</i>(<i>R,T</i>) Gravity by Hybrid Expansion Law

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