Plane Symmetric Universe Research Articles

Expanding, shearing and accelerating isotropic plane symmetric universe with conformal Kasner geometry

We construct a model of a universe filled with a perfect fluid with isotropic particle pressure. The anisotropic plane symmetric Kasner spacetime is used as a seed metric and through a conformal mapping a perfect fluid is generated. The model is inhomogeneous, irrotational, shearing and accelerating. For negative time, the universe is expanding, while for positive time, it is collapsing. With the aid of graphical three-dimensional plots, it is established that the density and pressure hypersurfaces are smooth and singularity free. Additionally, the sound-speed index is computed and the fluid obeys the causality criterion. The non-static exact solution found may prove useful in the study of gravitational waves.

Plane symmetric modified holographic Ricci dark energy model in Saez-Ballester theory of gravitation

Abstract The present work is devoted to investigation of non-static plane symmetric universe filled with matter and anisotropic modified holographic Ricci dark energy components within the framework of a scalar-tensor theory formulated by Saez and Ballester (1986). To get the determinate solution of the model we have used scalar expansion proportional to the shear scalar, linearly varying deceleration parameter and energy density of modified holographic Ricci dark energy. We study the equation of state parameter ( ω Λ ) , deceleration parameter (q), squared speed of sound ( v s 2 ) and ω Λ - ω Λ ′ and r - s planes for our dark energy model. The equation of state parameter provides a quintom-like behavior of the universe. The r - s plane corresponds to Λ CDM limit, Chaplygin and phantom regions, whereas ω Λ - ω Λ ′ trajectories correspond to both thawing and freezing regions.

Dark Energy Cosmological Models with Linear Equation of State in Plane Symmetric Universe

Dark Energy Cosmological Models with Linear Equation of State in Plane Symmetric Universe

Magnetized anisotropic dark energy models with constant deceleration parameter

In this paper, we have studied the solutions of plane-symmetric Universe with variable ω in the presence and the absence of magnetic field of energy density ρ B . A special law of variation for Hubble’s parameter proposed by Bermann in Nuovo Cimento B 74, 182 (1983) has been utilized to solve the field equations. Some physical and kinematical properties of the models are also discussed.

A Plane Symmetric Universe Filled with Viscous Fluid in a Modified Brans-Dicke Cosmology

A Plane Symmetric Universe Filled with Viscous Fluid in a Modified Brans-Dicke Cosmology

Application of Gradient Expansion to Non-Linear Gravitational Wave in Plane-Symmetric Universe

As an application of Gradient Expansion (long-wavelength) approximation, we studied the inhomogeneous universe including the gravitational wave(GW). For a plane-symmetric cosmological model, we could implement the 2nd order expansion and analyze the purely non-linear perturbation of GW. The result indicates that the non-linear effect plays an important role in anisotropic stage of the universe. We also confirm that the perturbation from the linear source term in gradient expansion is consistent with the result of linear perturbation.

A plane-symmetric universe in the presence of zero-mass scalar fields

A non-static plane-symmetric cosmological model in the presence of zero-mass scalar fields is obtained when the source of the gravitational field is a perfect fluid with pressure equal to energy density. Some properties of the model are discussed.

On the Einstein-Yang-Mills field equations in a plane symmetric universe

Recently Mondaini has discussed the Einstein-Yang-Mills field equations reduced into another form under the consideration of the line-element in Taub's form for the plane symmetric space-time and the Ansatz first proposed by Treat and rediscovered by Oh and Teh and has obtained some particular results. In the present paper the complete set of solutions has been obtained.

Fictitious Yang-Mills fields in a plane symmetric universe

It is shown that if we apply the Ansatz recently proposed by Oh and Teh to find a static Yang-Mills field in a plane symmetric universe, we get simply the vacuum Taub solution or the maxwellian Patnaik solution. In addition, we have shown that there are no plane wave solutions.

A plane symmetric universe filled with disordered radiation

A plane symmetric model of the universe has been derived which will include all plane symmetric space-times filled with disordered radiation. Some properties of the model have been studied in some detail.