On black hole radiation spectrum in loop quantum gravity

Mejrhit, K.; Laamara, R. Ahl; Ennadifi, Salah Eddine

doi:10.1134/s0202289317010108

Cited by 1 publication

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“…Loop quantum gravity presents the spectrum of kinematic geometry operators such as the area operator and the volume operator [2]. It is a canonical quantification of general relativity within the framework of this formalism which leads to interesting applications of spin networks as the Hilbert space of the canonically quantized metric, the most fruitful implications that may arise from the application of LQG to BHs is to obtain a plausible explanation of BH thermodynamics based on non-extensive statistical mechanics taking into account strong gravitational couplings [3][4][5][6][7][8]. A comparative study of the results obtained with those based on Bekenstein-Hawking entropy shows the deep links between the entropy of BHs and their horizon surface, which clearly illustrates the underlying unity of the proposed cosmological models.…”

Section: Introductionmentioning

confidence: 99%

A semi-classical estimate for the q-parameter and decay time with Tsallis entropy of black holes in quantum geometry

Mejrhit

Hajji

2020

Eur. Phys. J. C

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In this letter, using the non-extensive entropy of Tsallis, we study some properties of the Schwarzschild black holes (BHs), based on the loop quantum gravity (LQG), some novel characteristics and results of the Schwarzschild BH can be obtained in Mejrhit and Ennadifi (Phys Lett B 794:45–49, 2019). Here we find that these findings are strikingly identical to ones obtained by Hawking and Page in anti-de Sitter space within the original of the Boltzmann entropy formula. By using the semi-classical estimate analysis on the energy at this minimum $$M_{min}$$ M min , an approximate relationship between the q and $$\gamma $$ γ parameters of BHs can be found, ($$q\approx \frac{\sqrt{3}\gamma }{\pi \ln 2}+1$$ q ≈ 3 γ π ln 2 + 1 ), which is remarkable approaching to q-parameters of cosmic ray spectra and quarks coalescing to hadrons in high energy.

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