Semiclassical corrections to the Bekenstein-Hawking entropy of the BTZ black hole via self-gravitation

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 = 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-Hawkin, entropy, S-BH, is evaluated to first order in omega. (C) 2002 Elsevier Science B.V. All rights reserved.