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

              (calssical level)

            (quantum level) →  for a perfect absorber
                                                         non-physical temperature

        (quantum level) →

 

|  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  |

 


1. 블랙홀의 역사

2. 블랙홀의 생성과정
    (별의 진화)

3. 블랙홀 열역학
    (열역학적인 계)

3.1 흥미로운 블랙홀의
          물리량들

3.2 Schwarzchild
          solution

3.3 Extremal Reissner
         -NordstrÖm solution

3.4 Black Hole Entropy

4. 양자블랙홀
    (흑체복사)

5. D-brane 블랙홀
    (끈이론)