Regular Article - Theoretical Physics
Noncommutative geometry inspired black holes in Rastall gravity
Institute of Theoretical Physics, Shanxi Datong University, Datong, 037009, China
2 Department of Physics, Shanxi Datong University, Datong, 037009, China
Accepted: 11 September 2017
Published online: 20 September 2017
Under two different metric ansatzes, the noncommutative geometry inspired black holes (NCBH) in the framework of Rastall gravity are derived and analyzed. We consider the fluid-type matter with the Gaussian-distribution smeared mass density. Taking a Schwarzschild-like metric ansatz, it is shown that the noncommutative geometry inspired Schwarzschild black hole (NCSBH) in Rastall gravity, unlike its counterpart in general relativity (GR), is not a regular black hole. It has at most one event horizon. After showing a finite maximal temperature, the black hole will leave behind a point-like massive remnant at zero temperature. Considering a more general metric ansatz and a special equation of state of the matter, we also find a regular NCBH in Rastall gravity, which has a similar geometric structure and temperature to that of NCSBH in GR.
© The Author(s), 2017