‎the object of the present paper is to study spacetimes admitting‎ ‎quasi-conformal curvature tensor‎. ‎at first we prove that a quasi-conformally flat spacetime is einstein‎ ‎and hence it is of constant curvature and the energy momentum tensor of such a spacetime satisfying‎ ‎einstein's field equation with cosmological constant is covariant constant‎. ‎next‎, ‎we prove that if the perfect...

Let lK be a commutative field and (P, +) be a uniquely 2-divisible group (not necessarily abelian). We characterize all functions T: IK -+ P such that the Cauchy difference T(s+ t) T(t) T(s) depends only on the product st for all s, t E ~{. Further, we apply this result to describe solutions of the functional equation F(s + t) = K(st) 0 H(s) 0 G(t), where the unknown functions F, K, H, G map th...

We propose a new formulation of gauge theories as a quantum theory which has the gauge theory action S as its dynamical variable. This system is described by a simple actional I(S) (that is, an action for the action S) whose equation of motion gives the Batalin-Vilkovisky (BV) master equation for S. Upon quantization we find that our new formulation is reduced to something like a topological fi...

The applied electrical field destroys the spherical symmetry of the field less Barker-Ferry equation. The dimensionality of the task increases and furthermore no general integration domain can be specified due to the correlation of the phase space and time coordinates. In this part of the work we propose and integral formulation which decouples these coordinates. The equation is solved by the r...