Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2024
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| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2402.07287 |
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Inhaltsangabe:
- We proceed to investigate the solutions of generalized supergravity equations (GSE) in three dimensions. Our candidate is the metric of BTZ black hole. It is shown that only the cases with $J=M=0$ and $J=0,~ M\neq 0$ of the BTZ metric satisfy the GSE. In the former, we find a family of solutions including the field strength $H_{_{r φt}}=2r/l$, the cosmological constant $Λ=-1/l^2$, one-form $Z_μ$ and a vector field which is obtained to be a linear combination of the directions of the time translation and rotational symmetries. In the latter, the solutions possess the same field strength as before, while the cosmological constant $Λ$, one-form $Z_μ$ and vector field $I$ will be different from the previous case. Finally, we show that the charged black string solution found by Horne and Horowitz, which is Abelian T-dual to the the BTZ black hole solution, can be considered as a solution for the GSE.