Abstract
Einstein’s field equations with variable gravitational and cosmological constants are considered in presence of perfect fluid for locally-rotationally-symmetric (LRS) Bianchi type-V space-time discussion in context of the particle creation. We present new shear free solutions for both absence and presence of particle creation. The solution describes the particle and entropy generation in the anisotropic cosmological models. We observe that time variation of gravitational and cosmological constant is needed for particle creation phenomena. Moreover, we obtained the particle production rate Γ(t) for this model and discussed in detail.
Highlights
Einstein field equation in general relativity [1] and cosmology contains two parameters: Newton’s gravitational constant G and the cosmological constant Λ
Einstein’s field equations with variable gravitational and cosmological constants are considered in presence of perfect fluid for locally-rotationallysymmetric (LRS) Bianchi type-V space-time discussion in context of the particle creation
A number of authors have considered the cosmological model with the cosmological constant Λ as a function of cosmic time
Summary
Einstein field equation in general relativity [1] and cosmology contains two parameters: Newton’s gravitational constant G and the cosmological constant Λ. Singh et al [10] discussed a number of classes of solutions to Einstein’s field equations with variable G and Λ , and bulk viscosity for a flat Robertson-Walker universe in the framework of general relativity. Coley [11] has investigated Bianchi type-V spatially homogeneous imperfect fluid cosmological models which contain both viscosity and heat flow. Singh [14] has extended the work to LRS Bianchi type-V cosmological models and obtained solutions of the field equations in general relativity. A number of studies in cosmological model are performed using the gravitational constant and cosmological constant with cosmic time variable in the context of isotropic perfect fluid [9] [15] [16] and anisotropic [17] [18] [19] [20]. We try to present the exact solutions of Einstein’s field equations in the case of particle creation and in the absence of particle creation
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