Abstract
Recently, two kinds of deformed schwarzschild spacetime have been proposed, which are the black-bounces metric (Simpson and Visser in J Cosmol Astropart Phys 2019:042, 2019, Lobo et al. in Phys Rev D 103:084052, 2021) and quantum deformed black hole (BH) (Berry et al. in arXiv:2102.02471, 2021). In present work, we investigate the rotating spacetime of these deformed Schwarzschild metric. They are exact solutions to the Einstein’s field equation. We analyzed the properties of these rotating spacetimes, such as event horizon (EH), stationary limit surface (SIS), structure of singularity ring, energy condition (EC), etc., and found that these rotating spacetime have some novel properties.
Highlights
In general relativity (GR), physicists understand the detailed properties of the gravitational field by solving the solutions to Einstein’s field equations (EE)
By calculating the Kretsmann scalar R corresponding to the black hole (BH), it can be found that the singularity structure of the BH is exactly the same as that of Kerr BH, and the quantum correction parameter A does not have any effect on the singularity, which is very difficult to understand
For rotating black-bounce spacetime, the BH spin changes the value of critical pa√rameter mc, and found that it satisfies the following range 2M mc 2M
Summary
In general relativity (GR), physicists understand the detailed properties of the gravitational field by solving the solutions to Einstein’s field equations (EE). The Laser Interferometer Gravitational-Wave Observatory (LIGO) gravitational wave measurements and the Black Hole Event Horizon Telescope (EHT) black hole shadow measurements have provided reliable evidence for the existence of black holes in the universe [2,3] These observations further energized physicists, making the search for an exact solution to Einstein’s equations of the gravitational field all the more important. They extended this situation to the Kerr–Newman spacetime [13] For this regular BH metric, there is another kind of solution that people pay much attention, that is quantum deformed black hole [14,15,16]. We will use the NJA to derive the exact solutions in the rotation case, and two special cases, namely the black-bounce and quantum deformed BH, are discussed and analyzed.
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