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PreprintarXiv licencearXiv

Global structure of Kerr-Newman-BR spacetime

Abstract

We conduct an investigation of the global structure of Kerr-Newman-BR spacetime and its various subcases such as Schwarzschild-BR spacetime. In this work, we extend the result of our previous studies, where we found that r→ ∞ is not the proper conformal infinity. By using the reciprocal coordinate y=1/r, we show that the whole family of Kerr-Newman-BR spacetimes can be continuously extended through the surface r→ ∞. However, the conformal structure after passing r→∞ strongly depends on the type of spacetime one is considering (either rotation is present, or not) and on the polar direction one chooses to be fixed (namely, whether we consider generic polar angle θ, or we focus on the behaviour near the equatorial plane θ=π/2, or near the poles θ=0,π). Finally, we discuss the universality of such a continuous extension.

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BibTeX
@misc{ovcharenko2026global,
  title = {{Global structure of Kerr-Newman-BR spacetime}},
  author = {Hryhorii Ovcharenko},
  howpublished = {arXiv},
  year = {2026},
  month = aug,
  doi = {10.48550/arxiv.2608.28265},
  eprint = {2608.28265},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2608.28265},
}
RIS
TY  - UNPB
TI  - Global structure of Kerr-Newman-BR spacetime
AU  - Hryhorii Ovcharenko
PY  - 2026
DA  - 2026/08/28
PB  - arXiv
DO  - 10.48550/arxiv.2608.28265
UR  - https://arxiv.org/abs/2608.28265
AB  - We conduct an investigation of the global structure of Kerr-Newman-BR spacetime and its various subcases such as Schwarzschild-BR spacetime. In this work, we extend the result of our previous studies, where we found that r→ ∞ is not the proper conformal infinity. By using the reciprocal coordinate y=1/r, we show that the whole family of Kerr-Newman-BR spacetimes can be continuously extended through the surface r→ ∞. However, the conformal structure after passing r→∞ strongly depends on the type of spacetime one is considering (either rotation is present, or not) and on the polar direction one chooses to be fixed (namely, whether we consider generic polar angle θ, or we focus on the behaviour near the equatorial plane θ=π/2, or near the poles θ=0,π). Finally, we discuss the universality of such a continuous extension.
ER  -