Sentence examples for using the conformal transformation from inspiring English sources

Thus, using the conformal transformation of the type given by Equation 1, Wesson [7] transforms the usual Einstein field equations into G ij + f ij − Λ 0 g ij = − κ T ij Open image in new window (2) β f ij = 2 β β ; ij − 4 β, i β, j − g ab β, a β, b − 2 g ab β ; ab Open image in new window (3) G ij ≡ R ij − 1 2 R g ij Open image in new window (4).

Using the conformal transformation method, choose the transformation function as left( frac{z}{a} right)^{n/2} = {text{ch}}varsigma.

In this paper, using these conformal transformations, we obtained the charged rotating solutions of ((n+1))-dimensional ((nge 4)) BD-BI equations in the presence of a potential and studied their properties.

Here, the conformal transformation method has been used to calculate the bending loss [32].

The theory is based on the conformal transformation.

Firstly, different shapes of hole are expressed in one map function based on the conformal transformation.

end{aligned} (20 By applying the conformal transformation (9), the potential (tilde{ V} tilde{Phi })) becomes (V(Phi )=2Lambda Phi ^{2}).

We show that the entropy does not obey the area law, but remain invariant under the conformal transformation.

Therefore, the change in the entropy formula can be obtained as the change in the area due to the conformal transformation of the metric (g_{mu nu }).

end{aligned} (57 Comparing the thermodynamic quantities calculated in this section with those obtained in the previous sections, we find that they are invariant under the conformal transformation.

By applying the conformal transformation technique, the proposed PML is formulated in terms of conventional constitutive parameters and then can be easily realized by functionally graded viscoelastic materials.