Recovering the effective cosmological constant in extended gravity theories

In the framework of extended gravity theories, we discuss the meaning of a time dependent 'cosmological constant' and give a set of conditions to recover asymptotic de Sitter behaviour for a class of cosmological models independently of initial data. To this purpose we introduce a time-dependent (effective) quantity which asymptotically becomes the true cosmological constant. We will deal with scalar-tensor, fourth and higher than fourth-order theories.

cosmological constant
time dependence
space-time: de Sitter
asymptotic behavior
gravitation: scalar
gravitation: tensor
gravitation: higher-order
inflation
bibliography

References(77)

Figures(0)

The Cosmological Constant Problem

Steven Weinberg
(
- Texas U.
)

- Rev.Mod.Phys. 61 (1989) 1-23,
•
DOI:
- 10.1103/RevModPhys.61.1

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

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

Coleman-Weinberg Theory and a New Inflationary Universe Scenario

Andrei D. Linde
(
- Lebedev Inst.
)

- Phys.Lett.B 114 (1982) 431-435
•
DOI:
- 10.1016/0370-2693(82)90086-7

Chaotic Inflation

Andrei D. Linde
(
- Lebedev Inst.
)

- Phys.Lett.B 129 (1983) 177-181,
- Reprinted in *Abbott, L.F. (ed.), Pi, S.Y. (ed.): Inflationary cosmology*, 37-41
•
DOI:
- 10.1016/0370-2693(83)90837-7

Extended Chaotic Inflation and Spatial Variations of the Gravitational Constant

Andrei D. Linde
(
- CERN
)

- Phys.Lett.B 238 (1990) 160-165
•
DOI:
- 10.1016/0370-2693(90)91713-L

- Proc.Roy.Soc.Lond.A 273 1

A New Type of Isotropic Cosmological Models Without Singularity

Alexei A. Starobinsky
(
- Cambridge U. and
- Landau Inst.
)

- Phys.Lett.B 91 (1980) 99-102,
- Adv.Ser.Astrophys.Cosmol. 3 (1987) 130-133,
•
DOI:
- 10.1016/0370-2693(80)90670-X

The Stability of General Relativistic Cosmological Theory

John D. Barrow
(
- Sussex U.
)
,
A.C. Ottewill
(
- Oxford U.
)

- J.Phys.A 16 (1983) 2757
•
DOI:
- 10.1088/0305-4470/16/12/022

Variational derivatives of arbitrarily high order and multiinflation cosmological models

H.J. Schmidt
(
- Potsdam, Astrophys. Inst.
)

- Class.Quant.Grav. 7 (1990) 1023-1031
•
DOI:
- 10.1088/0264-9381/7/6/011

Stability and Hamiltonian formulation of higher derivative theories

Hans-Jurgen Schmidt
(
- Potsdam U., Inst. of Math.
)

- Phys.Rev.D 49 (1994) 6354,
- Phys.Rev.D 54 (1996) 7906 (erratum)
•
e-Print:
- gr-qc/9404038
•
DOI:
- 10.1103/PhysRevD.49.6354

Towards a no hair theorem for higher order gravity

- Astron.Nachr. 317 (1996) 337-348
•
e-Print:
- gr-qc/9503021
•
DOI:
- 10.1002/asna.2113170506

Extended Inflationary Cosmology

Daile La
(
- Pennsylvania U.
)
,
Paul J. Steinhardt
(
- Pennsylvania U.
)

- Phys.Rev.Lett. 62 (1989) 376,
- Phys.Rev.Lett. 62 (1989) 1066 (erratum)
•
DOI:
- 10.1103/PhysRevLett.62.376

Prescription for Successful Extended Inflation

Daile La
(
- Pennsylvania U.
)
,
Paul J. Steinhardt
(
- Pennsylvania U.
)
,
Edmund W. Bertschinger
(
- MIT, LNS
)

- Phys.Lett.B 231 (1989) 231-236
•
DOI:
- 10.1016/0370-2693(89)90205-0

Noether symmetries in cosmology

S. Capozziello
(
- Naples U. and
- INFN, Naples
)
,
R. De Ritis
(
- Naples U. and
- INFN, Naples
)
,
C. Rubano
(
- Naples U. and
- INFN, Naples
)
,
P. Scudellaro
(
- Naples U. and
- INFN, Naples
)

- Riv.Nuovo Cim. 19N4 (1996) 1-114,
- Riv. Nuovo Cim. 19N4 (1996) 1-114
•
DOI:
- 10.1007/BF02742992

Towards the Einstein-Hilbert Action via Conformal Transformation

Kei-ichi Maeda
(
- Tokyo U.
)

- Phys.Rev.D 39 (1989) 3159
•
DOI:
- 10.1103/PhysRevD.39.3159

Conformal coupling and invariance in different dimensions

Martin Rainer
(
- Potsdam U., Inst. of Math.
)

- Int.J.Mod.Phys.D 4 (1995) 397-416
•
e-Print:
- gr-qc/9404033
•
DOI:
- 10.1142/S0218271895000302

The Cauchy problem for the R+R**2 theories of gravity without torsion

- J.Math.Phys. 24 (1983) 2793
•
DOI:
- 10.1063/1.525659

Extended gravity theories and the Einstein-Hilbert action

David Wands
(
- Sussex U.
)

- Class.Quant.Grav. 11 (1994) 269-280
•
e-Print:
- gr-qc/9307034
•
DOI:
- 10.1088/0264-9381/11/1/025

Some aspects of the cosmological conformal equivalence between 'Jordan frame' and 'Einstein frame'

S. Capozziello
(
- Naples U. and
- INFN, Naples
)
,
R. de Ritis
(
- Naples U. and
- INFN, Naples
)
,
Alma Angela Marino
(
- Naples U. and
- INFN, Naples
)

- Class.Quant.Grav. 14 (1997) 3243-3258
•
e-Print:
- gr-qc/9612053
•
DOI:
- 10.1088/0264-9381/14/12/010

Inflationary Universe Generated by the Combined Action of a Scalar Field and Gravitational Vacuum Polarization

L.A. Kofman
(
- Tartu, Inst. Phys.
)
,
Andrei D. Linde
(
- Lebedev Inst.
)
,
Alexei A. Starobinsky
(
- Moscow, ITEP
)

- Phys.Lett.B 157 (1985) 361-367
•
DOI:
- 10.1016/0370-2693(85)90381-8

Multicomponent de Sitter (Inflationary) Stages and the Generation of Perturbations

Alexei A. Starobinsky
(
- Moscow, ITEP
)

- JETP Lett. 42 (1985) 152-155,
- Pisma Zh.Eksp.Teor.Fiz. 42 (1985) 124-127,
- Pisma Zh. Eksp. Teor. Fiz. 42 ( 1985) 124-127

Analysis of inflation driven by a scalar field and a curvature squared term

S. Gottlober
(
- DESY, Zeuthen
)
,
V. Muller
(
- DESY, Zeuthen
)
,
Alexei A. Starobinsky
(
- Moscow, ITEP
)

- Phys.Rev.D 43 (1991) 2510-2520,
- NORDITA Copenhagen - NORDITA-90-40 (90,rec.Jul.) 25 p,
- Phys. Rev. D43 (1991) 2510-2520 and NORDITA Copenhagen - NORDITA-90-40 (90,rec.Jul.) 25 p
•
DOI:
- 10.1103/PhysRevD.43.2510

Spectra of perturbations produced by double inflation with an intermediate matter dominated stage

David Polarski
(
- Zurich, ETH and
- Meudon Observ. and
- Tours U.
)
,
Alexei A. Starobinsky
(
- Zurich, ETH and
- Landau Inst.
)

- Nucl.Phys.B 385 (1992) 623-650
•
DOI:
- 10.1016/0550-3213(92)90062-G

Quantum Field Theory Methods and Inflationary Universe Models

Robert H. Brandenberger
(
- Santa Barbara, KITP
)

- Rev.Mod.Phys. 57 (1985) 1
•
DOI:
- 10.1103/RevModPhys.57.1

1-25 of 77
1
2
3
4
25 / page