Upload
others
View
2
Download
0
Embed Size (px)
Citation preview
From Black Holes to HydrodynamicsA symposium celebrating the 80th birthday of Werner Israel,
University of Victoria, April 26-27, 2011
"If you really enjoy your work you never need a holiday."
From “Scientists Profiles” (Science.ca)http://www.science.ca/scientists/scientistprofile.php?pID=9
“Israel became fascinated by stars and cosmology as a boy, but he had to teach himself some mathematics to understand what he was reading. He remembers sitting on the beach in Cape Town
when he was 12, studying Calculus Made Easy by Silvanus P. Thompson, and he has never forgotten the epigraph on its first
page: “What one fool can do, another can.” “
“He (Werner) had no idea at the time (1958) where Edmonton was, but he knew it was where mathematician Max Wyman worked. Wyman’s papers on the theory of relativity were well known to Israel. So in 1958 Israel and his wife, Inge, moved to Edmonton,
where they stayed for almost 40 years.”
The eternal mystery of the world is its comprehensibility.
Everything should be made as simple as possible, but not simpler.
The important thing is not to stop questioning. Curiosity has its own reason for existing
Equations are more important to me, because politics is for the present, but an equation is something for eternity.
I want to know God's thoughts; the rest are details.
Quotes from Albert Einstein:
23-25 October, 1984Quantum Gravity Seminar, Moscow
1966, 1991 Massive thin shells formalism
1966 Uniqueness theorem
1986 Third Law of BH Physics
1990 Mass Inflation
A Black Hole is a spacetime region where the gravitational field is so strong that nothing
(no information carrying signals) can escape it and reach infinity
Can one see what is going on in the black hole interior?
Penrose theorem (1968): The event horizon is formed by null geodesics (generators)that have no end point in the future.
Possible loopholes:
Non-trivial topology
Extra dimensions
“Wormhole as a device for study black hole's interior”
Phys.Rev. D48 (1993) 1607-1615V F and Igor Novikov
Non-trivial topologyViolation of NEC
: 0NEC T l l
ST is not simply connected (topology change)
Traversable wormhole requires violation of NEC
Apparent horizon vs event horizon
Big Questions:
Information Mining
Black Hole Entropy
“Brane Holes”Phys.Rev. D83 (2011) 044052 V F and Shinji Mukohayma
e-Print: arXiv:1012.4541 [hep-th]
Information Mining from BH Interior through Extra Dimensions
2 2 1 2 2 2 2;
1 /g
dS Fdt F dr r d dz
F r r
2 2 1 1 2 2 2 2
2 2 2 1
2 1 2 2 4 3
;
1 / ; (1 ) ;
1 [( / ) ( / ) ( / ) ]
c c c
c g
c g g g
dS F dt F U dr r d dz
F c r r c V
U s r r c r r c r r
Dark Shell
Big Questions:
Information Mining
Black Hole Entropy