Noncommutative black hole in the Finslerian spacetime

We study the behavior of the noncommutative radiating Schwarzschild black hole in the Finslerian spacetime. The investigation shows that black hole possesses either (i) two horizons, or (ii) a single horizon, or (iii) no horizon corresponding to a minimal mass. We obtain that the minimal mass significantly changes with the Finslerian parameter, keeping minimal horizon remain unchanged. It turns out that under Finslerian spacetime, the maximum temperature before cooling down to absolute zero varies with the Finslerian parameter. We then study the stability of the black hole by analyzing the specific heat and free energy. The energy conditions, their violation limit also scrutinized. Our findings suggest a stable black hole remnant, whose mass and size are uniquely determined in terms of the Finslerian parameter (Ric) over bar and noncommutative parameter chi. The physical relevance of these results are discussed in a brief.

Automated summary

The behavior of the noncommutative radiating Schwarzschild black hole in Finslerian spacetime was studied, revealing variations in the number of horizons and minimal mass with the Finslerian parameter. The study also found changes in the maximum temperature and stability of the black hole with the Finslerian parameter. The presence of a stable black hole remnant was suggested, uniquely determined by Finslerian and noncommutative parameters.