Astronomy and Astrophysics Seminars
Canonical entropy of Black-Holes in LQG spectra
by Kinjalk Lochan (DAA-TIFR)
Tuesday, April 17, 2012
from
to
(Asia/Kolkata)
at Colaba Campus ( DAA Seminar Room A269 )
at Colaba Campus ( DAA Seminar Room A269 )
TIFR
Description |
We will discuss the canonical partition function for quantum black holes in the approach of Loop Quantum Gravity (LQG). We argue that any quantum theory of gravity in which the hori- zon area is built of non-interacting constituents cannot yield qualitative corrections to the Bekenstein-Hawking (B-H) area law, but corrections to the area law can arise as a conse- quence additional constraints inducing interactions between the constituents. In LQG this is implemented by requiring spherical horizons. We will see that canonical approach for LQG favours a logarithmic correction to the B-H law with a coefficient of −1/ 2 , (just like in the case of counting entropy), contrary to the coefficient being +1/2, discussed recently in the literature. The initial calculation of the partition function uses certain approximations that do not qualitatively affect the expression for the black hole entropy. We will also discuss the quantitative corrections to these results when the simplifying approximations are relaxed and the full LQG spectrum is dealt with. We will see how these corrections can be recovered to all orders in perturbation theory. |