KAJIAN PERILAKU ENERGI-DIRI MEDAN SKALAR BERMUATAN DI SEKITAR LUBANG HITAM KERR BERDIMENSI EMPAT DAN LIMA; THE STUDY OF THE BEHAVIOUR OF SELF-ENERGY OF A CHARGED SCALAR FIELD AROUND FOUR AND FIVE DIMENSIONAL KERR BLACK HOLE

WALIYUDIN ANWAR, M. Farchani Rosyid

2014 | Disertasi | PROGRAM STUDI S2 ILMU FISIKA

The behaviour of self-energy of a charged scalar field around black hole Kerr has been studied. The calculation showed that the scalar field equation around four dimensional Kerr black hole can be separated variable while around five dimensional Kerr black hole can not. The Green function was gained in region: (1) between the two event horizons, and (2) near outside of outer event horizon. The Green function was gained by eigenvalue expansion variable method. Then, the Green function was evaluated in same points. the analysis showed that the result was infinite. The infinity was regularized by using point-splitting method. The Green divergen function was obtained in closed form. The difference of these Green functions was used to study the behaviour of self-energy of a charged scalar field.

Kata Kunci : Green function, divergen Green function, Kerr black hole, event horizon, point-splitting method, separated variabel