A note on a mimetic scalar–tensor cosmological model - INSPIRE

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A note on a mimetic scalar–tensor cosmological model

Yevgeniya Rabochaya
(
- TIFPA-INFN, Trento and
- Trento U.
)
,
Sergio Zerbini
(
- TIFPA-INFN, Trento and
- Trento U.
)

Sep 12, 2015

9 pages

Published in:

Eur.Phys.J.C 76 (2016) 2, 85

Published: Feb 18, 2016

e-Print:

1509.03720 [gr-qc]

DOI:

10.1140/epjc/s10052-016-3926-y

View in:

ADS Abstract Service

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Abstract: (Springer)

A specific Hordenski scalar-gravity mimetic model is investigated within a FLWR space-time. The mimetic scalar field is implemented via a Lagrangian multiplier, and it is shown that the model has equations of motion formally similar to the original simpler mimetic matter model of Chamseddine–Mukhanov–Vikman. Several exact solutions describing inflation, bounces, and future-time singularities are presented and discussed.

Note:

9 pages

cosmological model: bounce
field equations
gravitation: scalar tensor
singularity
space-time: Robertson-Walker
inflation
field theory: scalar
Lagrangian formalism

References(35)

Figures(0)

[1]

Planck 2015 results. I. Overview of products and scientific results

Planck

Collaboration

•

R. Adam
(
- LPSC, Grenoble
)

et al.

- Astron.Astrophys. 594 (2016) A1
•
e-Print:
- 1502.01582
•
DOI:
- 10.1051/0004-6361/201527101

[2]

Planck 2015 results. XIII. Cosmological parameters

Planck

Collaboration

•

P.A.R. Ade
(
- Cardiff U.
)

et al.

- Astron.Astrophys. 594 (2016) A13
•
e-Print:
- 1502.01589
•
DOI:
- 10.1051/0004-6361/201525830

[3]

Integrable cosmological models with non-minimally coupled scalar fields

Alexander Yu. Kamenshchik
(
- Bologna U., Dept. Astron. and
- INFN, Bologna and
- Landau Inst.
)
,
Ekaterina O. Pozdeeva
(
- SINP, Moscow
)
,
Alessandro Tronconi
(
- INFN, Bologna and
- Bologna U.
)
,
Giovanni Venturi
(
- INFN, Bologna and
- Bologna U.
)
,
Sergey Yu. Vernov
(
- SINP, Moscow
)

- Class.Quant.Grav. 31 (2014) 105003
•
e-Print:
- 1312.3540
•
DOI:
- 10.1088/0264-9381/31/10/105003

[4]

Interdependence between integrable cosmological models with minimal and non-minimal coupling

A. Yu. Kamenshchik
(
- Bologna U. and
- INFN, Bologna and
- Landau Inst.
)
,
E.O. Pozdeeva
(
- SINP, Moscow
)
,
A. Tronconi
(
- Bologna U. and
- INFN, Bologna
)
,
G. Venturi
(
- Bologna U. and
- INFN, Bologna
)
,
S. Yu. Vernov
(
- SINP, Moscow
)

- Class.Quant.Grav. 33 (2016) 1, 015004
•
e-Print:
- 1509.00590
•
DOI:
- 10.1088/0264-9381/33/1/015004

[5]

Mimetic Dark Matter

Ali H. Chamseddine
(
- American U. of Beirut and
- IHES, Bures-sur-Yvette
)
,
Viatcheslav Mukhanov
(
)

- JHEP 11 (2013) 135
•
e-Print:
- 1308.5410
•
DOI:
- 10.1007/JHEP11(2013)135

[6]

Cosmology with Mimetic Matter

Ali H. Chamseddine
(
- IHES, Bures-sur-Yvette and
- American U. of Beirut
)
,
Viatcheslav Mukhanov
(
- Munich U. and
- Munich, Max Planck Inst.
)
,
Alexander Vikman
(
- Munich U.
)

- JCAP 06 (2014) 017
•
e-Print:
- 1403.3961
•
DOI:
- 10.1088/1475-7516/2014/06/017

[7]

Imperfect Dark Matter

Leila Mirzagholi
(
- Munich U., ASC
)
,
Alexander Vikman
(
- Munich U., ASC
)

- JCAP 06 (2015) 028
•
e-Print:
- 1412.7136
•
DOI:
- 10.1088/1475-7516/2015/06/028

[8]

Disformal Transformations, Veiled General Relativity and Mimetic Gravity

Nathalie Deruelle
(
- APC, Paris
)
,
Josephine Rua
(
- Rio de Janeiro, CBPF
)

- JCAP 09 (2014) 002
•
e-Print:
- 1407.0825
•
DOI:
- 10.1088/1475-7516/2014/09/002

[9]

Dark matter as a ghost free conformal extension of Einstein theory

A.O. Barvinsky
(
- Lebedev Inst.
)

- JCAP 01 (2014) 014
•
e-Print:
- 1311.3111
•
DOI:
- 10.1088/1475-7516/2014/01/014

[10]

The Relation between physical and gravitational geometry

Jacob D. Bekenstein
(
- UC, Santa Barbara and
- Hebrew U.
)

- Phys.Rev.D 48 (1993) 3641-3647
•
e-Print:
- gr-qc/9211017
•
DOI:
- 10.1103/PhysRevD.48.3641

[11]

The two faces of mimetic Horndeski gravity: disformal transformations and Lagrange multiplier

Frederico Arroja
(
- Taiwan, Natl. Taiwan U.
)
,
Nicola Bartolo
(
- INFN, Padua and
- Padua U.
)
,
Purnendu Karmakar
(
- INFN, Padua and
- Padua U.
)
,
Sabino Matarrese
(
- Gran Sasso and
- INFN, Padua and
- Padua U.
)

- JCAP 09 (2015) 051
•
e-Print:
- 1506.08575
•
DOI:
- 10.1088/1475-7516/2015/09/051

[12]

On the recently proposed Mimetic Dark Matter

Alexey Golovnev
(
- St. Petersburg State U.
)

- Phys.Lett.B 728 (2014) 39-40
•
e-Print:
- 1310.2790
•
DOI:
- 10.1016/j.physletb.2013.11.026

[13]

Dust of Dark Energy

Eugene A. Lim
(
- ISCAP, New York and
- Columbia U.
)
,
Ignacy Sawicki
(
- New York U., CCPP
)
,
Alexander Vikman
(
- New York U., CCPP
)

- JCAP 05 (2010) 012
•
e-Print:
- 1003.5751
•
DOI:
- 10.1088/1475-7516/2010/05/012

[14]

Dark energy from modified gravity with Lagrange multipliers

Salvatore Capozziello
(
- Naples U. and
- INFN, Naples
)
,
Jiro Matsumoto
(
- Nagoya U.
)
,
Shin'ichi Nojiri
(
- Nagoya U. and
- KMI, Nagoya
)
,
Sergei D. Odintsov
(
- ICREA, Barcelona and
- ICE, Bellaterra
)

- Phys.Lett.B 693 (2010) 198-208
•
e-Print:
- 1004.3691
•
DOI:
- 10.1016/j.physletb.2010.08.030

[15]

Mimetic $F(R)$ gravity: inflation, dark energy and bounce

Shin'ichi Nojiri
(
- KMI, Nagoya and
- Nagoya U.
)
,
Sergei D. Odintsov
(
- Barcelona, IEEC and
- ICREA, Barcelona
)

- Mod.Phys.Lett.A 29 (2014) 40, 1450211 (erratum)
•
e-Print:
- 1408.3561
•
DOI:
- 10.1142/S0217732314502113

[16]

Cosmological perturbations in a mimetic matter model

Jiro Matsumoto
(
- Kazan State U.
)
,
Sergei D. Odintsov
(
- ICE, Bellaterra and
- ICREA, Barcelona
)
,
Sergey V. Sushkov
(
- Kazan State U.
)

- Phys.Rev.D 91 (2015) 6, 064062
•
e-Print:
- 1501.02149
•
DOI:
- 10.1103/PhysRevD.91.064062

[17]

Viable Mimetic $F(R)$ Gravity Compatible with Planck Observations

S.D. Odintsov
(
- Barcelona, IEEC and
- ICREA, Barcelona
)
,
V.K. Oikonomou
(
)

- Annals Phys. 363 (2015) 503-514
•
e-Print:
- 1508.07488
•
DOI:
- 10.1016/j.aop.2015.10.013

[18]

Inflation in $f(R,\phi )$ -theories and mimetic gravity scenario

R. Myrzakulov
(
- Eurasian Nat. U., Astana
)
,
L. Sebastiani
(
- Eurasian Nat. U., Astana
)
,
S. Vagnozzi
(
- Bohr Inst. and
- Nordita and
- Royal Inst. Tech., Stockholm and
- Stockholm U., OKC and
- Melbourne U.
)

- Eur.Phys.J.C 75 (2015) 444
•
e-Print:
- 1504.07984
•
DOI:
- 10.1140/epjc/s10052-015-3672-6

[19]

Mimetic Attractors

- Int.J.Theor.Phys. 55 (2016) 5, 2558-2572
•
e-Print:
- 1508.00971
•
DOI:
- 10.1007/s10773-015-2891-9

[20]

Mimetic covariant renormalizable gravity

Ratbay Myrzakulov
(
- Eurasian Nat. U., Astana
)
,
Lorenzo Sebastiani
(
- Eurasian Nat. U., Astana
)
,
Sunny Vagnozzi
(
- Bohr Inst. and
- Nordita and
- Royal Inst. Tech., Stockholm and
- Stockholm U. and
- Stockholm U., OKC and
- Melbourne U.
)
,
Sergio Zerbini
(
- Trento U. and
- TIFPA-INFN, Trento
)

- Fund.J.Mod.Phys. 8 (2015) 119-124
•
e-Print:
- 1505.03115

[21]

Second-order scalar-tensor field equations in a four-dimensional space

Gregory Walter Horndeski
(
- Waterloo U.
)

- Int.J.Theor.Phys. 10 (1974) 363-384
•
DOI:
- 10.1007/BF01807638

[22]

From k-essence to generalised Galileons

C. Deffayet
(
- APC, Paris and
- Paris U., VI-VII
)
,
Xian Gao
(
- APC, Paris and
- Paris U., VI-VII and
- Ecole Normale Superieure and
- Paris, Inst. Astrophys.
)
,
D.A. Steer
(
- APC, Paris and
- Paris U., VI-VII
)
,
G. Zahariade
(
- APC, Paris and
- Paris U., VI-VII
)

- Phys.Rev.D 84 (2011) 064039
•
e-Print:
- 1103.3260
•
DOI:
- 10.1103/PhysRevD.84.064039

[23]

Effective gravitational couplings for cosmological perturbations in the most general scalar-tensor theories with second-order field equations

Antonio De Felice
(
- Tokyo U. of Sci.
)
,
Tsutomu Kobayashi
(
- Kyoto U.
)
,
Shinji Tsujikawa
(
- Tokyo U. of Sci.
)

- Phys.Lett.B 706 (2011) 123-133
•
e-Print:
- 1108.4242
•
DOI:
- 10.1016/j.physletb.2011.11.028

[24]

A proposal for covariant renormalizable field theory of gravity

Shin'ichi Nojiri
(
- Nagoya U. and
- KMI, Nagoya
)
,
Sergei D. Odintsov
(
- ICREA, Barcelona and
- ICE, Bellaterra
)

- Phys.Lett.B 691 (2010) 60-64
•
e-Print:
- 1004.3613
•
DOI:
- 10.1016/j.physletb.2010.06.007

[25]

Black hole and de Sitter solutions in a covariant renormalizable field theory of gravity

G. Cognola
(
- Trento U. and
- INFN, Padua
)
,
E. Elizalde
(
- ICE, Bellaterra and
- Barcelona, IEEC
)
,
L. Sebastiani
(
- Trento U. and
- INFN, Padua
)
,
S. Zerbini
(
- Trento U. and
- INFN, Padua
)

- Phys.Rev.D 83 (2011) 063003
•
e-Print:
- 1007.4676
•
DOI:
- 10.1103/PhysRevD.83.063003

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