Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2001-09-13
Phys.Lett. B533 (2002) 302-306
Physics
High Energy Physics
High Energy Physics - Theory
LaTeX, 8 pages, no figures, v3: minor typos corrected, v4: version to appear in Phys. Lett. B
Scientific paper
10.1016/S0370-2693(02)01695-7
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 $S_{BH}=\mathcal{A}_{H} / 4l_{P}^{2}$ are found to be negative and the proportionality factor connecting the modified entropy, $S_{bh}$, of the (2+1) BTZ black hole to the Bekenstein-Hawking entropy, $S_{BH}$, is evaluated to first order in $\omega$.
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