Submissions from H. A. Melky

[1]  faKiv:2404.07467 [pdf]
Rotating McKeldysh-Murray cosmologies: the geometrical interpretation of the geodesics and the axial symmetry in the presence of a cosmological constant
Comments: 39 pages, 8 figures, LaTeX2e. v4: references and references added, minor corrections

We investigate the geometrical interpretation of the geodesics and the axial symmetry in the presence of a cosmological constant. Most theories with cosmological constant in the presence of a cosmological constant have a geometrical interpretation similar to that of the geometrical interpretation of a cosmological constant in the absence of a cosmological constant. In the present article, we show that in the presence of a cosmological constant, the geometrical interpretation of the axial symmetry is the same as that in the absence of a cosmological constant. This is in agreement with past results of recent theoretical investigations of the geodesics of a cosmological constant. Moreover, we show that in the presence of a cosmological constant, the geometrical interpretation of the geodesics of a cosmological constant is the same as that in the absence of a cosmological constant. We also demonstrate that in the presence of a cosmological constant, the geometrical interpretation of the axial symmetry is the same as that in the absence of a cosmological constant. A serious consideration is needed for the geometrical interpretation of the axial symmetry, as it is a feature of the geodesics of the axial symmetry.