Selfsimilar cosmological solutions with a nonminimally coupled scalar field - INSPIRE

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Selfsimilar cosmological solutions with a nonminimally coupled scalar field

Damien J. Holden
(
- Portsmouth U.
)
,
David Wands
(
- Portsmouth U.
)

Aug, 1999

18 pages

Published in:

Phys.Rev.D 61 (2000) 043506

e-Print:

gr-qc/9908026 [gr-qc]

DOI:

10.1103/PhysRevD.61.043506

Report number:

PU-RCG-99-8

View in:

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Abstract: (arXiv)

We present self-similar cosmological solutions for a barotropic fluid plus scalar field with Brans-Dicke-type coupling to the spacetime curvature and an arbitrary power-law potential energy. We identify all the fixed points in the autonomous phase-plane, including a scaling solution where the fluid density scales with the scalar field's kinetic and potential energy. This is related by a conformal transformation to a scaling solution for a scalar field with exponential potential minimally coupled to the spacetime curvature, but non-minimally coupled to the barotropic fluid. Radiation is automatically decoupled from the scalar field, but energy transfer between the field and non-relativistic dark matter can lead to a change to an accelerated expansion at late times in the Einstein frame. The scalar field density can mimic a cosmological constant even for steep potentials in the strong coupling limit.

Brans-Dicke model
field theory: scalar
model: fluid
space-time
fixed point
energy
quintessence
scaling
transformation: conformal
radiation: decoupling

References(50)

Figures(0)

The Cosmic triangle: Assessing the state of the universe

Neta A. Bahcall
(
- Princeton U. Observ.
)
,
Jeremiah P. Ostriker
(
- Princeton U. Observ.
)
,
Saul Perlmutter
(
- LBL, Berkeley
)
,
Paul J. Steinhardt
(
- Princeton U.
)

- Science 284 (1999) 1481-1488
•
e-Print:
- astro-ph/9906463
•
DOI:
- 10.1126/science.284.5419.1481

Cosmological constraints from current CMB and SN 1a data: A Brute force 9 parameter analysis

Max Tegmark
(
- Princeton, Inst. Advanced Study
)

- Astrophys.J.Lett. 514 (1999) L69-L72
•
e-Print:
- astro-ph/9809201
•
DOI:
- 10.1086/311943

Constraints on omega(lambda) and omega(m) from distant type 1a supernovae and cosmic microwave background anisotropies

G. Efstathiou
(
- Cambridge U., Inst. of Astron.
)
,
S.L. Bridle
(
- Cambridge U.
)
,
A.N. Lasenby
(
- Cambridge U.
)
,
M.P. Hobson
(
- Cambridge U.
)
,
R.S. Ellis
(
- Cambridge U., Inst. of Astron.
)

- Mon.Not.Roy.Astron.Soc. 303 (1999) 47
•
e-Print:
- astro-ph/9812226
•
DOI:
- 10.1046/j.1365-8711.1999.02433.x

Quintessence, cosmic coincidence, and the cosmological constant

Ivaylo Zlatev
(
- Pennsylvania U.
)
,
Li-Min Wang
(
- Pennsylvania U.
)
,
Paul J. Steinhardt
(
- Pennsylvania U. and
- Princeton U.
)

- Phys.Rev.Lett. 82 (1999) 896-899
•
e-Print:
- astro-ph/9807002
•
DOI:
- 10.1103/PhysRevLett.82.896

Cosmological tracking solutions

Paul J. Steinhardt
(
- Pennsylvania U.
)
,
Li-Min Wang
(
- Pennsylvania U.
)
,
Ivaylo Zlatev
(
- Pennsylvania U.
)

- Phys.Rev.D 59 (1999) 123504
•
e-Print:
- astro-ph/9812313
•
DOI:
- 10.1103/PhysRevD.59.123504

Cosmology and the Fate of Dilatation Symmetry

C. Wetterich
(
- DESY
)

- Nucl.Phys.B 302 (1988) 668-696
•
e-Print:
- 1711.03844
•
DOI:
- 10.1016/0550-3213(88)90193-9

Exponential potentials and cosmological scaling solutions

- Phys.Rev.D 57 (1998) 4686-4690
•
e-Print:
- gr-qc/9711068
•
DOI:
- 10.1103/PhysRevD.57.4686

A Classification of scalar field potentials with cosmological scaling solutions

Andrew R. Liddle
(
- Sussex U. and
- Imperial Coll., London
)
,
Robert J. Scherrer
(
- Ohio State U. and
- Fermilab
)

- Phys.Rev.D 59 (1999) 023509
•
e-Print:
- astro-ph/9809272
•
DOI:
- 10.1103/PhysRevD.59.023509

Power Law Inflation

F. Lucchin
(
- Padua U.
)
,
S. Matarrese
(
- SISSA, Trieste
)

- Phys.Rev.D 32 (1985) 1316
•
DOI:
- 10.1103/PhysRevD.32.1316

Cosmic no hair theorem in homogeneous space-times. 1. Bianchi models

Yuichi Kitada
(
- Tokyo U.
)
,
Kei-ichi Maeda
(
- Waseda U.
)

- Class.Quant.Grav. 10 (1993) 703-734
•
DOI:
- 10.1088/0264-9381/10/4/008

Scalar Fields in Cosmology with an Exponential Potential

J.J. Halliwell
(
- Cambridge U.
)

- Phys.Lett.B 185 (1987) 341
•
DOI:
- 10.1016/0370-2693(87)91011-2

Inflationary Models with Exponential Potentials

A.B. Burd
(
- Sussex U.
)
,
John D. Barrow
(
- Sussex U.
)

- Nucl.Phys.B 308 (1988) 929-945,
- Nucl.Phys.B 324 (1989) 276-276 (erratum)
•
DOI:
- 10.1016/0550-3213(88)90135-6

- Annals N.Y.Acad.Sci. 688 647

The Cosmon model for an asymptotically vanishing time dependent cosmological 'constant'

Christof Wetterich
(
- Heidelberg U.
)

- Astron.Astrophys. 301 (1995) 321-328
•
e-Print:
- hep-th/9408025

Scaling solutions in general nonminimal coupling theories

Luca Amendola
(
- Rome Observ.
)

- Phys.Rev.D 60 (1999) 043501
•
e-Print:
- astro-ph/9904120
•
DOI:
- 10.1103/PhysRevD.60.043501

Interactions in scalar field cosmology

Andrew P. Billyard
(
- Dalhousie U.
)
,
Alan A. Coley
(
- Dalhousie U.
)

- Phys.Rev.D 61 (2000) 083503
•
e-Print:
- astro-ph/9908224
•
DOI:
- 10.1103/PhysRevD.61.083503

Mach's principle and a relativistic theory of gravitation

C. Brans
(
- Princeton U.
)
,
R.H. Dicke
(
- Princeton U.
)

- Phys.Rev. 124 (1961) 925-935,
•
DOI:
- 10.1103/PhysRev.124.925

Superstring cosmology

James E. Lidsey
(
- Queen Mary, U. of London
)
,
David Wands
(
- Portsmouth U.
)
,
Edmund J. Copeland
(
- Sussex U.
)

- Phys.Rept. 337 (2000) 343-492
•
e-Print:
- hep-th/9909061
•
DOI:
- 10.1016/S0370-1573(00)00064-8

- Prog.Theor.Phys. 40 49

Phase - plane analysis of Friedmann-Robertson-Walker cosmologies in Brans-Dicke gravity

Damien J. Holden
(
- Portsmouth U.
)
,
David Wands
(
- Portsmouth U.
)

- Class.Quant.Grav. 15 (1998) 3271-3290
•
e-Print:
- gr-qc/9803021
•
DOI:
- 10.1088/0264-9381/15/10/027

Cosmological Consequences of a Rolling Homogeneous Scalar Field

Bharat Ratra
(
- Princeton U.
)
,
P.J.E. Peebles
(
- Princeton U.
)

- Phys.Rev.D 37 (1988) 3406
•
DOI:
- 10.1103/PhysRevD.37.3406

Loitering universe

- Astrophys.J. 385 (1992) 1-8
•
DOI:
- 10.1086/170910

Cosmological imprint of an energy component with general equation of state

R.R. Caldwell
(
- Pennsylvania U.
)
,
Rahul Dave
(
- Pennsylvania U.
)
,
Paul J. Steinhardt
(
- Pennsylvania U.
)

- Phys.Rev.Lett. 80 (1998) 1582-1585
•
e-Print:
- astro-ph/9708069
•
DOI:
- 10.1103/PhysRevLett.80.1582

Comments on the scalar tensor theory

Peter G. Bergmann
(
- Syracuse U.
)

- Int.J.Theor.Phys. 1 (1968) 25-36
•
DOI:
- 10.1007/BF00668828

Scalar tensor theory and gravitational waves

Robert V. Wagoner
(
- Cornell U., Astron. Dept.
)

- Phys.Rev.D 1 (1970) 3209-3216
•
DOI:
- 10.1103/PhysRevD.1.3209

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