https://doi.org/10.1140/epjc/s10052-023-12114-5
Regular Article – Theoretical Physics
Topological classes of black holes in de-Sitter spacetime
Department of Physics, South China University of Technology, 510641, Guangzhou, China
Received:
14
August
2023
Accepted:
5
October
2023
Published online:
14
October
2023
In this paper, we investigate the topological number of de-Sitter black hole solutions with different charges (q) and rotational (a) parameters. By using generalized free energy and Duan’s 
-mapping topological current theory, we find that the topological numbers of black holes can still be classified into three types. In addition, we interestingly found the topological classes for de-Sitter (dS) spacetime with distinct horizons, i.e., black hole event horizon and cosmological horizon, will be different. Moreover, we also investigate topological classifications of dS black hole solutions in higher dimensions with or without the Gauss-Bonnet term.
© The Author(s) 2023
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