Noncommutative black hole in the Finslerian spacetime

Abstract

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 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 $\overline{Ric}$ and noncommutative parameter $\theta$. The physical relevance of these results are discussed in a brief.

8 pages, 9 figures

References in corpus (10)

• Noncommutative Black Hole Thermodynamics
• General Very Special Relativity is Finsler Geometry
• Planck-scale modified dispersion relations and Finsler geometry
• Corrections to Schwarzschild Solution in Noncommutative Gauge Theory of Gravity
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Cited by in corpus (1)

• Thermodynamics and phase transitions of $\kappa$-deformed Schwarzschild-AdS black holes