Self-creation Theory Of Gravitation Research Articles

A Comparative Study of Cosmological Models in Barber Self Creation Theory of Gravitation

A Comparative Study of Cosmological Models in Barber Self Creation Theory of Gravitation

An Introduction to Cosmological Models in General Relativity in Self Creation Theory of Gravitation

We have presented an introduction to Cosmological Models in General Relativity in Self Creation theory of Gravitation various definitions of basic terminology is given. Many principles used in General Relativity are also explained.

Stability of Cosmological Model in Self-Creation Theory of Gravitation

In the present paper, we considered Bianchi type-II space-time in the presence of a macroscopic body in the self-creation theory formulated by Barber. The relation between metric coefficient and state equation has helped present the exact cosmological model in theory. The features, stability, and some physical & kinematical properties of the obtained model are also discussed.

Bianchi type II modified holographic Ricci dark energy model in Barber’s self-creation theory of gravitation

In this paper, we studied a spatially homogeneous and anisotropic Bianchi type II space-time in the presence of matter and modified holographic Ricci dark energy in Barber’s second self-creation theory of gravitation. We obtained exact solution of the field equations by assuming ( i) a special law of variation of the mean Hubble parameter and ( ii) the component [Formula: see text] of the shear tensor [Formula: see text] is proportional to the expansion scalar in the model. Some physical and dynamical parameters were determined and their significant roles are discussed with respect to cosmic evolution of the universe. We observe that the model is consistent with modern cosmological observational data.

Bianchi Type-IX Cosmological Model in Self-Creation Theory of Gravitation

In this paper, we study macroscopic body cosmological model in the context of self-creation theory. We solve field equations by using relation between metric coefficients and equation of state for macroscopic body. Also, we discuss the features of the obtained solutions.

A New Class of Bianchi Type-I Cosmological Model in Self-Creation Theory

Bianchi type-I cosmological model has been studied in the self-creation theory of gravitation. A new class of exact solutions has been obtained by considering the model yields a constant deceleration parameter. The physical and geometrical properties of the obtained model are discussed. Also, we study the thermodynamic quantities (Entropy, Enthalpy, Gibbs energy and Helmholtz energy) of the universe with help of the scalar field $$\phi$$ .

A Higher Dimensional Cosmological Model and Quark Confinement

We have constructed a five-dimensional Bianchi type-III cosmological model with strange quark matter attached to the string cloud in Barber’s second self-creation theory of gravitation which is inflationary. An exact inflationary string cosmological model is obtained in which the theory leads to the Einstein theory at initial epoch. It is interesting to note that as T gradually increases, the scalar expansion θ and shear scalar σ 2 decrease and finally they vanish when T → ∞. The cosmological parameters have been discussed in detail.

Bianchi type-V modified holographic Ricci dark energy model in self-creation theory of gravitation

Anisotropic and spatially homogeneous Bianchi type-V space–time is considered in the presence of matter and anisotropic dark energy in Barber’s (Gen. Relativ. Gravit. 14, 117. (1982)) second self-creation theory of gravitation. An anisotropic modified holographic Ricci dark energy model is presented using linearly varying deceleration parameter (Akarsu and Dereli. Int. J. Theor. Phys. 51, 612 (2012)), energy density of modified holographic Ricci dark energy, and the relation between the metric potentials. Some physical and kinematical properties of the model are discussed graphically by choosing suitable values of the parameters, which are found to be in good agreement with modern cosmological observational data.

Oscillating cosmological model with a varying Λ $\varLambda $ term in Barber’s second self-creation theory of gravitation

We investigate the spatially homogeneous and isotropic FRW cosmological model with a time varying \(\varLambda \) term in Barber’s second self-creation theory. The field equations of this theory are solved by using a time periodic varying deceleration parameter \(q=m\cos kx -1\) with \(m\) and \(k\) being positive constants. From the derivation of the expressions for the statefinder parameters \(r\) and \(s\), it is obtained that the values of \(r\) and \(s\) of the present model can reduce to statefinder parameters of standard \(\varLambda \)CDM model \(r=1\) and \(s=0\) only when \(m=\frac{3}{2}\).

Bianchi type-V bulk viscous string cosmological model in a self-creation theory of gravitation

A spatially homogenous and anisotropic Bianchi type space-time is considered in the frame work of second self-creation theory of gravitation proposed by Barber (Gen. Relativ. Gravit. 14:117, 1982) in the presence of bulk viscous fluid containing one dimensional cosmic strings. Solving the field equations of this theory an exact cosmological model is obtained using some physically plausible conditions. It is observed that strings in this model do not survive. Some physical and kinematical properties of the model are also discussed.

Anisotropic Bianchi Type-II Model with Cosmic Domain Walls in Self Creation Cosmology

The paper deals with a spatially homogeneous and totally anisotropic Bianchi type-II cosmological model in the presence of cosmic domain walls within the framework of Barber’s second self-creation theory of gravitation. Exact solutions of Einstein’s field equations are obtained by considering two ansatz: (i) the space–time admits a negative constant deceleration parameter and (ii) one of the components of the shear tensor is proportional to the mean Hubble parameter. The physical and geometrical aspects of the model are discussed.

Kantowski–Sachs bulk viscous string cosmological model in a self-creation theory of gravitation

In this paper, we have considered Kantowski–Sachs space-time in the presence of bulk viscous fluid with one dimensional cosmic strings in the second self-creation theory of gravitation proposed by Barber (Gen. Relativ. Gravit. 14:117, 1982). By solving the field equations of this theory we have obtained an exact Kantowski–Sachs bulk viscous string universe in this particular theory. A physical discussion of the cosmological model is also presented.

Bianchi type-I magnetized radiating cosmological model in self creation theory of gravitation

We have investigated Bianchi type-I cosmological model in the presence of magnetized field with disordered radiation in Barber’s second self-creation theory of gravitation. To obtain exact solution we assume that the component \(\sigma^{1}_{1}\) of shear tensor \(( \sigma_{i}^{j} )\) is proportional to expansion (θ). Some geometrical and physical properties of the model have also been discussed.

Bianchi type-III dark energy models with constant deceleration parameter in self-creation cosmology

We have constructed dark energy cosmological models in an anisotropic Bianchi type-III space–time with a variable equation of state (EoS) parameter ω in Barber’s (Gen. Relativ. Gravitation, 14, 117, 1982) second self-creation theory of gravitation. The models are obtained using the special law of variation of Hubble’s parameter that yields a constant value of the deceleration parameter. In the two different models that we have obtained, the EoS parameter ω for dark energy is found to be time dependent. In one model the value of ω is in good agreement with the recent observations of type Ia supernovae (SNe Ia) data, SNe Ia data with cosmic microwave background radiation anisotropy and galaxy clustering statistics. Further we have discussed the well-known astrophysical phenomena, namely, the Hubble parameter H(z), luminosity distance dL, proper distance d(z), distance modulus μ(z), and look-back time with red shift. The expression for jerk parameter and statefinder parameters are also derived.

Bianchi type-II Bulk viscous string cosmological model in self-creation theory of gravitation

A spatially homogeneous and anisotropic LRS Bianchi type-II space-time is considered in the frame work of second self-creation theory of gravitation proposed by Barber (Gen. Relativ. Gravit. 14:117, 1982) in the presence of bulk viscous fluid containing one dimensional cosmic strings. A determinate solution of the field equations is presented using special variation for Hubble’s parameter given by Berman (Nuovo Cimento B 74:182, 1983) and some physically plausible conditions. The solution represents a bulk viscous string model in the second self-creation cosmology. We have also discussed some physical and kinematical properties of the model.

Self-creation theory of gravitation. A self-similar approach

In order to study how the gravitational constant, G, varies within the Barber’s second self-creation theory of gravitation we find exact solutions for Bianchi type I, VII0, IX and Kantowski-Sach (KS) under the self-similar hypothesis. Some physical and geometrical properties of the models are also discussed and compare the obtained results with the current observations. We also compare our results with the obtained ones in the Brans-Dicke theory.

Bianchi Type I Bulk Viscous Barotropic Fluid Cosmological Model with Varying Λ and Functional Relation on Hubble Parameter in Self-Creation Theory of Gravitation

We have investigated Bianchi type I bulk viscous barotropic fluid cosmological model with varying Λ and functional relation on Hubble parameter in self-creation theory of gravitation. It is observed that the scalar function ϕ(t) affected the physical parameters of the universe and our model may have more than three spatial-dimensions in the beginning which is a theoretical evidence pointed out in the geometry of universe. The propose variation law for Hubble parameter leads cosmological model which is dominated by decelerating phase at initial stage and at later stage, the universe has accelerating phase and the universe expanding exponentially with acceleration supporting the observational data. Also other geometrical and physical properties of the model have been evaluated.

Axially symmetric string cosmological model with bulk viscosity in self-creation theory of gravitation

We have obtained and presented the anisotropic axially symmetric cosmological model in Barber’s second self-creation theory of gravitation when the energy momentum tensor is a bulk viscous fluid containing one-dimensional cosmic strings. It is observed that this bulk viscous string cosmological model always represents an accelerated and expanding universe. In the absence of bulk viscosity, as special cases, we get the axially symmetric perfect fluid string cosmological model as well as string cosmological model in this theory. Some physical and geometrical properties are also discussed.

Some Anisotropic Homogeneous Cosmological Models in Self-creation Cosmology

The paper presents an exact solution of cylindrically symmetric cosmological models which are of Petrov type-I or Petov type-D in Barber’s second self-creation theory of gravitation. Some physical and geometrical properties of these models are also discussed.

Axially symmetric radiating cosmological model in a self-creation cosmology

An axially symmetric space time is considered in the presence of a perfect fluid source in Barbers (Gen. Relativ. Gravit. 14, 117, 1982) second self creation theory of gravitation. An exact radiating cosmological model is presented using a relation between the metric potentials. Some physical and kinematical properties of the model are also discussed.