Cosmological-static metric correspondence and Kruskal type solutions from symmetry transformations


  • J. A. Nieto Universidad Autónoma de Sinaloa
  • Edgar Alejandro León Universidad Autónoma de Sinaloa
  • C. García-Quintero The University of Texas at Dallas



Cosmology, Black Holes, Symmetries


We develop a formalism which provides a new view for the transformation of spherically symmetric metrics, regarding cosmological and Kruskal type metrics. Our analysis begins with some general relevant dynamical metrics in cosmology, and prove that they all can be transformed to a unique static form. We extend the formalism to obtain generalized Kruskal type coordinates in cosmology and black hole theory. This extended formalism provides a novel mechanism to obtain suitable coordinate charts associated with spherically symmetric metrics. In particular, we obtain explicitly new Kruskal type coordinates for extremal Reissner-Nordström and Schwarzschild-de-Sitter metrics, as well for an extension of the de-Sitter metric.

Author Biography

Edgar Alejandro León, Universidad Autónoma de Sinaloa

I am a research professor at Facultad de Ciencias Físico-Matemáticas, Universidad Autónoma de Sinaloa, since 2011.


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How to Cite

J. A. Nieto, E. A. León, and C. García-Quintero, “Cosmological-static metric correspondence and Kruskal type solutions from symmetry transformations”, Rev. Mex. Fís., vol. 68, no. 4 Jul-Aug, pp. 040701 1–, Jun. 2022.



07 Gravitation, Mathematical Physics and Field Theory