Axisymmetric Stationary Spacetimes of Constant Scalar Curvature in Four Dimensions

Axisymmetric Stationary Spacetimes of Constant Scalar Curvature in Four Dimensions

In this paper we construct a special class of four dimensional axisymmetric stationary spacetimes whose Ricci scalar is constant but not Einstein. We find that this solution has a ring singularity. At the end, we discuss some numerical results of these spacetimes.

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Veröffentlicht in:arXiv.org 2022-12
Hauptverfasser: Assafari, Rosikhuna F, Fadhilla, Emir S, Gunara, Bobby E, Hasanuddin, Wiliardy, Abednego
Format: Artikel
Sprache:eng
Schlagworte:
Cosmological constant
Curvature
Mathematical analysis
Spacetime
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Zusammenfassung:In this paper we construct a special class of four dimensional axisymmetric stationary spacetimes whose Ricci scalar is constant but not Einstein. We find that this solution has a ring singularity. At the end, we discuss some numerical results of these spacetimes.
ISSN:2331-8422