A Simple Harmonic Universe

Graham, Peter W.; Horn, Bart; Kachru, Shamit; Rajendran, Surjeet; Torroba, Gonzalo

doi:10.1007/JHEP02(2014)029

A Simple Harmonic Universe

Peter W. Graham
(
- Stanford U., ITP
)
,
Bart Horn
(
- Stanford U., ITP and
- SLAC
)
,
Shamit Kachru
(
- Stanford U., ITP and
- SLAC
)
,
Surjeet Rajendran
(
- Johns Hopkins U. and
- Stanford U., ITP
)
,
Gonzalo Torroba
(
- Stanford U., ITP and
- SLAC
)

Sep, 2011

11 pages

Published in:

JHEP 02 (2014) 029

Published: 2014

e-Print:

1109.0282 [hep-th]

DOI:

10.1007/JHEP02(2014)029

Report number:

SLAC-PUB-14558,
SU-ITP-11-46

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Abstract: (arXiv)

We explore simple but novel bouncing solutions of general relativity that avoid singularities. These solutions require curvature k=+1, and are supported by a negative cosmological term and matter with -1 < w < -1/3. In the case of moderate bounces (where the ratio of the maximal scale factor

a_+

to the minimal scale factor

a_-

is

{\cal O}(1)

), the solutions are shown to be classically stable and cycle through an infinite set of bounces. For more extreme cases with large

a_+/a_-

, the solutions can still oscillate many times before classical instabilities take them out of the regime of validity of our approximations. In this regime, quantum particle production also leads eventually to a departure from the realm of validity of semiclassical general relativity, likely yielding a singular crunch. We briefly discuss possible applications of these models to realistic cosmology.

Note:

5 pages, 1 figure. New sections on nonlinear and nonperturbative instabilities. References added

Classical Theories of Gravity
Spacetime Singularities
cosmological constant: negative
stability: classical
cosmological model: bounce
gravitation: semiclassical
cosmological model: cyclic
11.27.+d
04.40.Nr
04.62.+v

References(35)

Figures(3)

[1]

On the Theoretical Requirements for a Periodic Behaviour of the Universe

Richard C. Tolman

- Phys.Rev. 38 (1931) 9, 1758
•
DOI:
- 10.1103/PhysRev.38.1758

[2]

The expanding universe

G. Lemaitre
(
- Queen Mary, U. of London
)

- Gen.Rel.Grav. 29 (1997) 641-680,
- Annales Soc.Sci.Bruxelles A 53 (1933) 51-85
•
DOI:
- 10.1023/A:1018855621348

[3]

Introduction to Early Universe Cosmology

Robert H. Brandenberger

- PoS ICFI2010 (2010) 001
•
e-Print:
- 1103.2271
•
DOI:
- 10.22323/1.124.0001

[4]

Wiggles in the cosmic microwave background radiation: echoes from non-singular cyclic-inflation

Tirthabir Biswas
(
- St. Cloud State U. and
- Loyola U., New Orleans
)
,
Anupam Mazumdar
(
- Loyola U., New Orleans and
- Lancaster U.
)
,
Arman Shafieloo
(
- Oxford U.
)

- Phys.Rev.D 82 (2010) 123517
•
e-Print:
- 1003.3206
•
DOI:
- 10.1103/PhysRevD.82.123517

[5]

Casimir energy and a cosmological bounce

Carlos A.R. Herdeiro
(
- Porto U.
)
,
Marco Sampaio
(
- Porto U.
)

- Class.Quant.Grav. 23 (2006) 473-484
•
e-Print:
- hep-th/0510052
•
DOI:
- 10.1088/0264-9381/23/2/012

[6]

The emergent universe: Inflationary cosmology with no singularity

- Class.Quant.Grav. 21 (2004) 223-232
•
e-Print:
- gr-qc/0211082
•
DOI:
- 10.1088/0264-9381/21/1/015

[7]

Minimal conditions for the creation of a Friedman-Robertson-Walker universe from a 'bounce'

- Phys.Lett.B 455 (1999) 90-95
•
e-Print:
- gr-qc/9810023
•
DOI:
- 10.1016/S0370-2693(99)00469-4

[8]

Primordial perturbations in a non singular bouncing universe model

- Phys.Rev.D 66 (2002) 063509
•
e-Print:
- hep-th/0203013
•
DOI:
- 10.1103/PhysRevD.66.063509

[9]

Bouncing universes with varying constants

- Class.Quant.Grav. 21 (2004) 4289-4296
•
e-Print:
- astro-ph/0406369
•
DOI:
- 10.1088/0264-9381/21/18/001

[10]

The Large Scale Structure of Space-Time

- ,
•
DOI:
- 10.1017/9781009253161

[11]

The Inflationary Universe: A Possible Solution to the Horizon and Flatness Problems

Alan H. Guth
(
- SLAC
)

- Phys.Rev.D 23 (1981) 347-356,
- Adv.Ser.Astrophys.Cosmol. 3 (1987) 139-148 (reprint)
•
DOI:
- 10.1103/PhysRevD.23.347

[12]

A New Inflationary Universe Scenario: A Possible Solution of the Horizon, Flatness, Homogeneity, Isotropy and Primordial Monopole Problems

Andrei D. Linde
(
- Lebedev Inst.
)

- Phys.Lett.B 108 (1982) 389-393,
- In *Moscow 1981, Proceedings, Quantum Gravity*, 185-195 and Moscow Inst. Phys. Acad. Sci. - 81-229 (81,REC.DEC.) 15p,
- Adv.Ser.Astrophys.Cosmol. 3 (1987) 149-153 (reprint)
•
DOI:
- 10.1016/0370-2693(82)91219-9

[13]

Cosmology for Grand Unified Theories with Radiatively Induced Symmetry Breaking

- Phys.Rev.Lett. 48 (1982) 1220-1223,
- Adv.Ser.Astrophys.Cosmol. 3 (1987) 158-161 (reprint)
•
DOI:
- 10.1103/PhysRevLett.48.1220

[14]

Inflationary space-times are incompletein past directions

- Phys.Rev.Lett. 90 (2003) 151301
•
e-Print:
- gr-qc/0110012
•
DOI:
- 10.1103/PhysRevLett.90.151301

[15]

Optimistic cosmological model

N.S. Kardashev

- Mon.Not.Roy.Astron.Soc. 243 (1990) 252

[16]

Oscillating Friedman cosmology

Mariusz P. Dabrowski
(
- Szczecin U. and
- Sussex U.
)

- Annals Phys. 248 (1996) 199-219,
- Ann. Phys. (N.Y.) 248 (1996) 199-219, and Preprint - Dabrowski, M.P. (rec.Mar.95) 30 p
•
e-Print:
- gr-qc/9503017
•
DOI:
- 10.1006/aphy.1996.0057