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Wormholes in the Accelerating Universe
MG11, Berlin, July 2006
• Cosmic Big Trip
• Metric Staticity
• Asymptotic Flatness
• Quantum Instability
• Holographic Bound on Information
• Conclusions?
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ttKK
K
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0*0 1
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tttt
The Big Trip Big Rip
wp Quintessence:
22
22
22
)(1
dr
rrK
drdtds
P.F. González-Díaz, Phys. Rev. Lett. 93, 071301 (2004); Phys. Lett. B596, 16 (2004); Int. J. Mod. Phys. D14, 1649 (2005)
ACCRETION
1w
r
trKA
rtrK
m
eur p
d
),(1
),(12
2
Big Trip
22
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),(1
dr
rtrK
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),(r
tKtrK
1. Non Static Metric
),(),(
1 000
TKfr
KKT
r
trKe rp
d B
000 fr
KKr
• P.F. González-Díaz, Phys. Lett. B632, 159 (2006); Phys. Lett. B635,1 (2006); Invest. & Ciencia, June, 2006
V. Faraoni and W. Israel, Phys. Rev. D71, 064017 (2005)
• A. Swarup, New Scientist, No. 2525, p. 23 (2005); T. Halmes, Labour’s parallel Universe, The Times, Nov. 14 (2005)• A. Yurov, P. Martín-Moruno and P.F. González-Díaz, astro-ph/0606529.
Hadamard Two-Point Function (Rindler Coord.)
n nb
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)1(
'sinh'2',
'2
'cosh
22
Regularized Hadamard Function:
Hadamard for Minkowski vacuum
R
4
4
)1()1()1(
12
bTGGG Mreg
3. INESTABILITY
Violations of Chronology Protection Conjecture
Wormholes undergoing Big Trip are Stable until the trip is performed!!!
:2b Li-Gott Self-Consistent Vacuum1)
If There Exists a Big Trip, then Necessarily:
02)
max
0 )'(
')(t
ta
dttaR
c
ERS
2
24 P
AS
Holography
2log
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ERI
Information Bound
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0*max
wttt
BitsII 100max
Basically Nothing
Macroscopic
V.A. Yurov and A.V. Yurov, astro-ph/0503433
4. Holographic Bound
Allowed Paths circumventing
the Big Rip Singularity
Inform
ation
Big
Rip
Sin
gula
rity
P.F. González-Díaz, astro-ph/0507714, Grav. Cosm. 12, 29 (2006); Phys. Lett. B635, 1 (2006).
sent to infinity:maxt
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