3. 블랙홀 열역학
LAW |
Thermodynamics
( ) |
Black Holes
( ) |
Zeroth |
 constant
throughout body
|
 constant
over horizon
|
First
[The LAW of
Nature] |
 + Work terms
|
|
Second
[The LAW
of Probability] |
 in any process
|
 in any process
|
Third |
Impossible
to achieve  by a physical process |
Impossible
to achieve  by a physical process |
Physical Analogy
| 3
| 3.1
| 3.2
| 3.3
| 3.4
|
 3-1. 흥미로운
블랙홀의 물리량들(Schwarzschild
블랙홀)
 : 블랙홀의 질량
 : Schwarzschild 반경(블랙홀 반경)
 : 특이점 (singularity) : 모든 물리법칙이 적용되지 않음.
우주검열가설 : 중력붕괴로 만들어진
블랙홀은 그 내부에 특이점이
반드시
존재한다. |
 : Hawking temperature(  , for  )
 : 질량(Energy)감소율
 (S-B 법칙)
 (블랙홀의 면적)
:
블랙홀이 증발할 때까지 걸리는 시간
:
Negative Heat Capacity ---self-gravitational system
⇒
Heat Reservior 와 열적 평형(thermal equilibrium)이 불가.
⇒
Microcanonical Ensemble 이 적당함.
| 3
| 3.1
| 3.2
| 3.3
| 3.4
|
3-2.
Schwarzchild Solution (Not
a ground state solution)
-------------
 |
| 3
| 3.1
| 3.2
| 3.3
| 3.4
|
3-3.
Extremal Reissner-NordstrÖm solution
------------- >
【
extremal solution
⇒ground
state solution】 |
| 3
| 3.1
| 3.2
| 3.3
| 3.4
|
3-4. Black Hole Entropy
|
: Hqwking-Bekenstein
Entropy |
|
: Geometric
Entopy ( Entanglement Entropy) for
quantum matter |
Two
Problems |
1.
What is the microstates of Black Hole?
What is the statistical
origin of this? |
 |
|
|
 number of internal microstates
|
2.
 → |
|
The quantum correction
to 
defined through the partition function
on the Euclidean
background with a defect
angle 
⇒ UV divergences for any dimension
⇒ Renormalization |
 |
| 3
| 3.1
| 3.2
| 3.3
| 3.4
| |
(calssical level)
(quantum level) → 
for a perfect absorber 
non-physical temperature 
(quantum level) → 
