Non-singular isotropic perfect fluid cosmologies of no-scale supergravity

Within the framework of no-scale supergravity we investigate the isotropic FRM-model filled with conventional perfect fluid matter. We present a wide class of exact solutions which avoid the singularities that appear in cosmological models based on Einstein's theory of gravitation.     

Bianchi type-II perfect fluid solutions

It is shown that the recent new Bianchi type-II solutions of Hajj-Boutros (1986a, b) do not exist. We present a consistent method for perfect fluid solutions in this paper.     

Exact perfect fluid solutions in the Brans-Dicke-theory

We present the general stiff matter and radiation solutions for thek=0, 1, –1 Friedmann-Robertson-Walker space-times in the Brans-Dicke scalar-tensor theory.     

Comments on the BDT-FRW perfect fluid solutions

It is shown that the BDT-FRW perfect fluid solutions given some years ago by Chauvet and Obregón (1979) are identical to the solutions first given by Jordan (1955) and later by Brill (1962).     

Some new Bianchi type-I perfect fluid solutions

We present a simple method to construct some new perfect fluid solutions from known Bianchi type-I solutions.     

Bianchi type-VI0 and type-VIh perfect fluid solutions

We present a consistent method to construct some new Bianchi type-VI₀ and type-VI_h perfect fluid solutions from known solutions. The corresponding seed solutions are due to Collins (1971).     

A note on the magnetic perfect fluid Bianchi type-VIo solutions

We make some comments concerning the magnetic perfect fluid Bianchi type-VI_o solutions given recently by Royet al. (1985a).     

Self-consistent solutions of the semi-classical Einstein equations with cosmological constant and perfect fluid

Exact solutions of the semi-classical Einstein equations with cosmological constant for conformally invariant free quantum fields in a spatially flat Robertson-Walker metric are found when a classical perfect fluid is present. The stability of the asymptotically Friedmann-de Sitter solutions is studied. The formers are found to be stable if < 0, while the stability of the latter depends of the signs of , and A.Fellow of the Consejo Nacional de Investigaciones Científicas y Técnicas.Supported by scholarship of the Universidad de Buenos Aires.     

Self-consistent solutions of the semi-classical back-reaction equations with cosmological constant spatial curvature and perfect fluid

Exact solutions of the semi-classical Einstein equations with cosmological constant for conformally invariant free quantum fields in a general Robertson-Walker metric are found when a classical perfect fluid is present. There exist a one-parameter family of time-symmetric bouncing solutions that avoid the singularity and a one-parameter family which does not have particles horizons. The de Sitter solution is found to be stable, while the Einstein universe is unstable.     

Bianchi type-III universe with perfect fluid

We study Bianchi type-III cosmological model filled with perfect fluid in the presence of cosmological constant Λ(t). The Hubble law utilised yields a constant value of deceleration parameter. Physical and Kinematical properties of the model have also studied.      

Higher-dimensional perfect fluid collapse in $$ gravity

In this paper, we analyze higher-dimensional spherical perfect fluid collapse in \(f(R,T)\) theory for minimally coupled models. We use Darmois junction conditions by taking Lemaître-Tolman-Bondi geometry as an interior region and Schwarzschild metric as an exterior spacetime. The solution of field equations is obtained for constant scalar curvature. We determine mass in two regions of the collapsing object and discuss the formation of apparent horizons. We conclude that modified curvature term tends to slow down the collapse rate.     

Equilibrium of a static charged perfect fluid sphere

A study is developed for treating Einstein-Maxwell's equations, applied to a static perfect fluid sphere with charge, in a such a manner to generalize the Oppenheimer and Volkoff hydrostatic equilibrium equation.We suggest reasons which could make the generalization of this equation inapplicable. It is shown that Einstein-Maxwell's equations predict such special solutions.     

Spherically-symmetric charged perfect fluid distribution in Brans-Dicke theory

Solutions of Brans-Dicke field equations in Dicke's conformally-transformed units are obtained when the source of the gravitational field is that of charged perfect fluid where the line element taken is that of Roberton-Walker.     

Inhomogeneous perfect fluid universe with electromagnetic field

Cylindrically symmetric inhomogeneous cosmological model for perfect fluid distribution with electromagnetic field is obtained. The source of the magnetic field is due to an electric current produced along the z-axis. F ₁₂ is the non-vanishing component of electromagnetic field tensor. To get the deterministic solution, it has been assumed that the expansion θ in the model is proportional to the shear σ. Physical and geometric aspects of the models are also discussed in presence and absence of magnetic field.      

A class of new Bianchi I perfect fluid space-times

A procedure to generate new exact solutions to Einstein equations for perfect fluids is applied to LRS Bianchi type I line-element. Starting from some known solutions a class of new perfect fluid solutions of Bianchi type I are presented. The physical and kinematical properties of spatially homogeneous and anisotropic cosmological models are studied.     

Gravitational charged perfect fluid collapse in Friedmann universe models

This paper is devoted to the study of gravitational charged perfect fluid collapse in Friedmann universe models with cosmological constant. For this purpose, we assume that the electromagnetic field is so weak that it does not introduce any distortion into the geometry of the spacetime. The results obtained from the junction conditions between the Friedmann and the Reissner–Nordström de Sitter spacetimes are used to solve the field equations. Further, the singularity structure and mass effects of the collapsing system on the time difference between the formation of apparent horizons and singularity have been studied. This analysis provides the validity of the Cosmic Censorship Hypothesis. It is found that the electromagnetic field affects the area of apparent horizons and their time of formation.     

Robertson-Walker cosmological models with perfect fluid in general relativity

Einstein's field equations with variable gravitational and cosmological constants are considered in the presence of perfect fluid for a Robertson-Walker universe by assuming the cosmological term to be proportional to R-m(R is a scale factor and m is a constant).A variety of solutions is presented.The physical significance of the cosmological models has also been discussed.