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Semiclassical corrections to the Bekenstein-Hawking entropy of the BTZ black hole via self-gravitation. (English) Zbl 0994.83031
Summary: Hawking radiation is viewed as a tunnelling process. In this way the effect of self-gravitation gives rise to semiclassical corrections to the entropy of the $$(2+1)$$ BTZ black hole. The modified entropy, due to specific modelling of the self-gravitation effect, of the $$(2+1)$$ BTZ black hole is evaluated. To first order in $$\omega$$ which is a shell of energy radiated outwards the event horizon of the BTZ black hole, modified entropy is proportional to the horizon. In this semiclassical analysis, corrections to the Bekenstein-Hawking formula $$S_{\text{BH}}=A_H/4l_P^2$$ are found to be negative and the proportionality factor connecting the modified entropy, $$S_{\text{bh}}$$, of the $$(2+1)$$ BTZ black hole to the Bekenstein-Hawking entropy, $$S_{\text{BH}}$$, is evaluated to first order in $$\omega$$.

##### MSC:
 83C57 Black holes
##### Keywords:
tunnelling process
Full Text:
##### References:
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