Anisotropic fluid distributions in bimetric general relativity

Static and spherically-symmetric solutions of the field equations in the bimetric theory of gravitation are obtained for isotropic and anisotropic distributions of matter when the physical metric admits a one-parameter group of conformal motions. The solutions agree with Einstein's general relativity for physical systems comparable to the size of the Universe, such as the solar system.     

Charged fluid sphere in bimetric general theory of relativity

Static and spherical symmetric solutions of the field equations in the bimetric general theory of gravitation are obtained for perfect and anisotropic charged fluids under the assumption that the physical metric admits a one-parameter group of conformal motion. All solutions are matched to the Reissner–Nordstrom metric and possess positive energy density larger than the stresses, everywhere within the sphere. The solution agrees with Einstein’s general relativity for a physical system comparable to the size of the universe, such as the solar system.     

Bianchi type-III cosmological model in four- and five-dimensional bimetric theory of relativity

Four- and five-dimensional Bianchi type-III cosmological model in Rosen (1980) bimetric theory of gravitation is considered. Restricting to a particular type of background metric, it is observed that the Bianchi type-III cosmological model does not exist in case of both meson field and mesonic perfect fluid. Hence only vacuum model can be obtained.     

Radiating spheres in general relativity with a mixed transport energy flow

A semi-numerical method by Herreraet al. (1980) is extended to handle the evolution of general relativistic spheres where diffusion and free streaming radiation processes coexist. It is shown when mixed-mode radiation is present a very different hydrodynamic picture emerges from the models previously considered in both radiation limit. Characteristic times for free streaming, hydrodynamics, and diffusion processes are considered comparable. Hydrodynamics and radiation are strongly coupled and the particular equation of state of the model emerges as a very important element in the dynamic of the matter distribution.     

Anisotropic fluid distribution in higher dimensional general theory of relativity

We have obtained static and spherically symmetric self-gravitating solution of the field equations for anisotropic distribution of matter in higher- dimensional in the context of Einstein’s general theory of relativity. This work is an extension of the previous work of Hector Rago (Astrophys. Space Sci. 183:333, 1991) for four dimensional space-time. The solutions are matched to the analytical solutions for spherically symmetric self gravitating distribution of anisotropic matter obtained by Hector Rago (1991) for n=2.     

The gravitation theory in bimetric formulation

The gravitation theory is considered in bimetric formulation with a Lagrangian of the most common type and quadratic with respect to the derivativesg _ik/l of the metric tensor. Restrictions on the dimensionless parameters of the theory are found, basing on the comparison with the Newtonian theory and the analysis of corresponding observational data in the vicinity of the solar system. Propagation of the weak gravitation waves is investigated in the outside gravitational field.     

Relativistic polytropic spheres in general relativity

Spherical-symmetric massive structures with a relativistic polytropic equation of state have been studied in detail. Thevarious static parameters have been calculated under all possible variations of ₀ (=P ₀/E ₀0 pertaining to the central value) and the polytropic indexn. In particular, the values of the static parameters have been identified under the extreme relativistic conditions and for the most bound structures. The structures have been used to model neutron stars and the various neutron parameters have been calculated. Radial pulsation and rotation of these configurations have also been discussed.     

Non-static fluid spheres in general relativity

We critically comment upon the paper: The properties of large particles in the zodiacal cloud and in the interstellar medium, and their relation to recent IRAS observations, by F. Hoyle and N. C. Wickramasinghe, which appeared inAstrophysics and Space Science 107 (1984) 224.     

Radiating fluid spheres in general relativity

In this paper Einstein's field equations for spherically-symmetric radiating fluid distributions are discussed and some new exact regular solutions are obtained.     

Rotating bodies in the bimetric theory

The article deals with the physical parameters of rotating bodies in the bimetric theory of gravitation in second approximation in the angular velocity. The authors present the results of calculations carried out for configurations whose state of matter is described by monoparametric equations of ideal neutron gas and relativistic polytropes.     

Integral conservation laws in bimetric scalar-tensor theory

We have obtained covariant expressions for conserved 4-momentum and angular momentum in a gravitational field with matter within the framework of the bimetric scalar-tensor theory of gravitation. These quantities are represented as surface integrals, allowing us to calculate their values using only data in the asymptotic region far from the source.Translated from Astrofizika, Vol. 37, No. 1, pp. 167–173, January–March, 1994.     

Inhomogeneous plane symmetric models in bimetric theory

Field equations of Rosen's bimetric theory are obtained with the aid of aninhomogeneous plane symmetric metric in the presence of a perfect fluiddistribution. Models corresponding to vacuum, stiff fluid and disorderedradiation are constructed and discussed.     

Exploding radiating viscous spheres in general relativity

The influence of viscosity on the gravitational collapse in radiating fluid spheres is investigated. The interior solution is matched with the Vaidya metric at the boundary of the fluid distribution. Prescribing an equation of state to take into account the degree of induced anisotropy by the viscosity and using the Herrera, Jiménez and Ruggeri method, we obtain an explicit Tolman VI-like exploding model. The sphere explodes more violently when the anisotropy due to the viscosity is smaller. The shear viscosity diminishes with the expansion of the distribution of matter.     

Scalar-tensor bimetric theory of gravitation. I

Institute of Applied Physics Problems, Armenian Academy of Sciences. Translated from Astrofizika, Vol. 32, No. 3, pp. 491–500, May–June, 1990.     

The bimetric theory of gravitation with a dynamic background metric

We study the bimetric theory of gravitation with background metric _ik. In contrast to the accepted point of view, in which _ik, is a metric given a priori, we assume that _ik is a dynamic variable determined from the condition that the total action of the gravitating system must be an extremum. As a result it turns out that (1) _ik can be described by the Einstein equation in space-time with the metric _ik and (2) the energy-momentum tensor of the graviational field _ik, is the source of _ik. In this sense _ik can be considered a secondary field in relation to g_ik. We determine the conditions for existence of integral covariant conservation laws. Two of the latter have no analogs in the theory with the background metric given a priori.Translated fromAstrofizika, Vol. 37, No. 3, 1994.The author is grateful to the participants in the seminar of the Department of Theoretical Physics at Erevan State University, and also to W. Bleier, K. A. Bronnikov, V. N. Mel'nikov, and G. Yu. Treder for discussions and valuable remarks. The investigations presented in this paper were partly financed by the International Scientific Fund, grant Ph1-262-0902.