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arXiv · 1706.08054

Noncommutative geometry inspired black holes in Rastall gravity

Meng-Sen Ma·Ren Zhao
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Abstract

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.

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Meng-Sen Ma, Ren Zhao. 2017-09-25. Noncommutative geometry inspired black holes in Rastall gravity. https://doi.org/10.1140/epjc%2Fs10052-017-5217-7

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