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From Black Holes to Hydrodynamics A symposium celebrating the 80th birthday of Werner Israel, University of Victoria, April 26-27, 2011

From Black Holes to Hydrodynamics A symposium celebrating ...wi80.phys.uvic.ca/files/Frolov_WI80.pdf · From Black Holes to Hydrodynamics A symposium celebrating the 80th birthday

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Page 1: From Black Holes to Hydrodynamics A symposium celebrating ...wi80.phys.uvic.ca/files/Frolov_WI80.pdf · From Black Holes to Hydrodynamics A symposium celebrating the 80th birthday

From Black Holes to HydrodynamicsA symposium celebrating the 80th birthday of Werner Israel,

University of Victoria, April 26-27, 2011

Page 2: From Black Holes to Hydrodynamics A symposium celebrating ...wi80.phys.uvic.ca/files/Frolov_WI80.pdf · From Black Holes to Hydrodynamics A symposium celebrating the 80th birthday

"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.”

Page 3: From Black Holes to Hydrodynamics A symposium celebrating ...wi80.phys.uvic.ca/files/Frolov_WI80.pdf · From Black Holes to Hydrodynamics A symposium celebrating the 80th birthday

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:

Page 4: From Black Holes to Hydrodynamics A symposium celebrating ...wi80.phys.uvic.ca/files/Frolov_WI80.pdf · From Black Holes to Hydrodynamics A symposium celebrating the 80th birthday
Page 5: From Black Holes to Hydrodynamics A symposium celebrating ...wi80.phys.uvic.ca/files/Frolov_WI80.pdf · From Black Holes to Hydrodynamics A symposium celebrating the 80th birthday
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23-25 October, 1984Quantum Gravity Seminar, Moscow

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Page 8: From Black Holes to Hydrodynamics A symposium celebrating ...wi80.phys.uvic.ca/files/Frolov_WI80.pdf · From Black Holes to Hydrodynamics A symposium celebrating the 80th birthday

1966, 1991 Massive thin shells formalism

1966 Uniqueness theorem

1986 Third Law of BH Physics

1990 Mass Inflation

Page 9: From Black Holes to Hydrodynamics A symposium celebrating ...wi80.phys.uvic.ca/files/Frolov_WI80.pdf · From Black Holes to Hydrodynamics A symposium celebrating the 80th birthday

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

Page 10: From Black Holes to Hydrodynamics A symposium celebrating ...wi80.phys.uvic.ca/files/Frolov_WI80.pdf · From Black Holes to Hydrodynamics A symposium celebrating the 80th birthday

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.

Page 11: From Black Holes to Hydrodynamics A symposium celebrating ...wi80.phys.uvic.ca/files/Frolov_WI80.pdf · From Black Holes to Hydrodynamics A symposium celebrating the 80th birthday

Possible loopholes:

Non-trivial topology

Extra dimensions

Page 12: From Black Holes to Hydrodynamics A symposium celebrating ...wi80.phys.uvic.ca/files/Frolov_WI80.pdf · From Black Holes to Hydrodynamics A symposium celebrating the 80th birthday

“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

Page 13: From Black Holes to Hydrodynamics A symposium celebrating ...wi80.phys.uvic.ca/files/Frolov_WI80.pdf · From Black Holes to Hydrodynamics A symposium celebrating the 80th birthday
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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

Page 21: From Black Holes to Hydrodynamics A symposium celebrating ...wi80.phys.uvic.ca/files/Frolov_WI80.pdf · From Black Holes to Hydrodynamics A symposium celebrating the 80th birthday
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“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

Page 23: From Black Holes to Hydrodynamics A symposium celebrating ...wi80.phys.uvic.ca/files/Frolov_WI80.pdf · From Black Holes to Hydrodynamics A symposium celebrating the 80th birthday

2 2 1 2 2 2 2;

1 /g

dS Fdt F dr r d dz

F r r

Page 24: From Black Holes to Hydrodynamics A symposium celebrating ...wi80.phys.uvic.ca/files/Frolov_WI80.pdf · From Black Holes to Hydrodynamics A symposium celebrating the 80th birthday

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

Page 25: From Black Holes to Hydrodynamics A symposium celebrating ...wi80.phys.uvic.ca/files/Frolov_WI80.pdf · From Black Holes to Hydrodynamics A symposium celebrating the 80th birthday

Dark Shell

Page 26: From Black Holes to Hydrodynamics A symposium celebrating ...wi80.phys.uvic.ca/files/Frolov_WI80.pdf · From Black Holes to Hydrodynamics A symposium celebrating the 80th birthday
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Big Questions:

Information Mining

Black Hole Entropy

Page 28: From Black Holes to Hydrodynamics A symposium celebrating ...wi80.phys.uvic.ca/files/Frolov_WI80.pdf · From Black Holes to Hydrodynamics A symposium celebrating the 80th birthday
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