Antipodal Identification in the Schwarzschild Spacetime | Zendy

M. Socolovsky | Zendy

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Antipodal Identification in the Schwarzschild Spacetime

Author(s) -

M. Socolovsky

Publication year - 2020

Publication title -

theoretical physics

Language(s) - English

Resource type - Journals

eISSN - 2519-9633

pISSN - 2519-9625

DOI - 10.22606/tp.2020.53002

Subject(s) - schwarzschild radius , spacetime , antipodal point , photon sphere , singularity , physics , schwarzschild metric , deriving the schwarzschild solution , geodesic , curvature , topology (electrical circuits) , mathematical physics , conical surface , kerr metric , classical mechanics , geometry , mathematics , quantum mechanics , general relativity , combinatorics , charged black hole

"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."

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