Symmetry and Conserved Quantity of Tzénoff Equations for Holonomic Systems with Redundant Coordinates

Structural Equation and Mei Conserved Quantity of Mei Symmetry for Appell Equations with Redundant Coordinates

“…Consider that the dynamic functions 𝑆, Λ 𝑠 , 𝑓 𝛾 of the system are 𝑆 * , Λ * 𝑠 , 𝑓 * 𝛾 under the infinitesimal transformations (10). Taking the Taylor expansions of 𝑆 * , Λ * 𝑠 , 𝑓 * 𝛾 at a point of (𝑡, 𝑞, q, q), we can easily obtain…”

Bianchi Type I Magnetized Barotropic Perfect Fluid Cosmological Model in General Relativity

“…Cosmological models with an incident magnetic field for different Bianchi Types have been investigated by several authors viz. Tupper [10], Dunn and Tupper [11], Lorentz [12], Roy et al [13], Roy and Singh [14], Ribeiro and Sanyal [15], Nayak and Bhuyan [16], Banerjee et al [17], Tikekar and Patel [18,19], Roy and Banerjee [20], Bali and Jain [21], Wang [22], Singh and Chaubey [23], Bali and Jain [24].…”

Bianchi Type-III stiff fluid cosmological model in general relativity

“…The Bianchi Type-III cosmological model for a cloud string with bulk viscosity was studied by Wang (2005). Wang (2006) obtained the Bianchi Type-III cosmological model for a cloud string in the presence of bulk viscosity and magnetic field. Wang assumed that there is an equation of state ρ = kλ and the scalar of expansion is proportional to the shear θ α σ , which leads to a relation between metric potentials B = mC n to obtain this model.…”