Wormholes in the Accelerating Universe

MG11, Berlin, July 2006

• Cosmic Big Trip

• Metric Staticity

• Asymptotic Flatness

• Quantum Instability

• Holographic Bound on Information

• Conclusions?

0

2/)1|(|30

00

00

)1|(|23

1ttCwa

ttKK

K

w

i

i

2/)1|(|20

0*0 1

~

wa

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

22

22

),(1

dr

rtrK

drdtds

20 )(

),(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.

>-1

< - 1Extra Large

Universes

Throat of the

Wormhole

Phantom Universe

Mou

ths

2. The Multiverse

Hadamard Two-Point Function (Rindler Coord.)

n nb

XXG222

)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

2

c

ERI

Information Bound

{

3/81||3

2

0

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

maxI

Everything, including an advanced future civilization, will be able to perform a big trip so escaping or circumventing the big rip. There is no problem with the Bekenstein’s Information/Energy bound.