Isaac Scientific Publishing

Theoretical Physics

Antipodal Identification in the Schwarzschild Spacetime

Download PDF (1576.9 KB) PP. 33 - 40 Pub. Date: September 30, 2020

DOI: 10.22606/tp.2020.53002

Author(s)

  • Miguel Socolovsky*
    Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, Cd. Universitaria, 04510, Ciudad de México, México

Abstract

Through a Möbius transformation, we study aspects like topology, ligth cones, horizons, curvature singularity, lines of constant Schwarzschild coordinates r and t, null geodesics, and transformed metric, of the spacetime (SKS/2)^' that results from: i) the antipode identification in the Schwarzschild-Kruskal-Szekeres (SKS) spacetime, and ii) the suppression of the consequent conical singularity. In particular, one obtains a non simply-connected topology: (SKS/2)^' = R^2* ×S^2 and, as expected, bending light cones.

Keywords

antipodal identification; Schwarzschild spacetime

References

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