Perturbation is studied for non-minimal derivative coupling between a scalar fields and curvature tensor in five dimensions. We apply this analysis in flat universal five dimensional spacetime, generate the field equations and consider special cases at early universe, to get an exact form of the perturbation parameters. The solutions is used to explain the coupling parameter of non-minimal derivative coupling with curvature tensor. We find that for case of static extradimension at early time, the coupling parameter is approximately have value of ξ ≈ 0, 0274.
REFERENCES
1.
S.
Perlmutter
, et al., “Measurements of omega and lamdha from 42 high-redshift supernovae
”, Astrophys. J.
517
, 565
–586
(1999
).2.
A. G.
Riess
, et al., “Observational evidence from supernovae for an accelerating universe and a cosmological constant
”, Astron. J.
116
, 1009
–1038
(1998
).3.
L.
Amendola
, “Cosmology with nonminimal derivative couplings
”, Phys. Lett. B
301
, 175
–182
(1993
).4.
S.
Capozziello
, G.
Lambiase
and H. J.
Schmidt
, “Nonminimal derivative couplings and inflation in generalized theories of gravity
”, Annalen Phys.
9
, 39
(2000
).5.
H. M.
Sadjadi
and P.
Goodarzi
, “Oscillatory inflation in non-minimal derivative coupling mode
”, Phys. Lett. B
732
, 278
–284
(2014
).6.
S.
Tsujikawa
, “Observational test of inflation with a field derivative coupling to gravity
”, Phys. Rev. D
85
, 083518
(2012
).7.
S. V.
Sushkov
, “Exact cosmological solutions with nonminimal derivative coupling
”, Phys. Rev. D
80
, 103505
(2009
).8.
H. M.
Sadjadi
and P.
Goodarzi
, “Reheating Temperature in Non-Minimal Derivative Coupling Mode
”. JCAP
1307
, 039
(2013
).9.
M.
Sami
, et al., “Cosmological dynamics of non-minimally coupled scalar field system and its late time cosmic relevance
”, Phys. Rev. D
86
, 103532
(2012
).10.
J. M.
Overduin
and P. S.
Wesson
, “Kaluza-Klein Gravity
”, Phys. Rept.
283
, 303
–380
(1997
).11.
T.
Applequist
, H. C.
Cheng
, and B. A.
Dobrescu
, “Bounds on universal extra dimensions
”, Phys. Rev D
64
, 035002
(2001
).12.
J. B.
Dent
, S.
Dutta
, E. N.
Saridakis
, and J. Q.
Xia
, “Cosmology with nonminimal derivative couplings: perturbation analysis and observational constraints
”, JCAP
1311
, 058
(2013
).13.
K.
Feng
and T.
Qiu
, “Curvaton with Nonminimal Derivative Coupling to Gravity II: Full Perturbation Analysis
”, Phys. Rev. D
90
, 123508
(2014
).14.
K.
Feng
, T.
Qiu
, and Y. S.
Piao
, “Curvaton with nonminimal derivative coupling to gravity
”, Phys. Lett. B
729
, 99
(2014
).15.
T.
Bringmann
, M.
Eriksson
, and M.
Gustafsson
, “Cosmological evolution of universal extra dimension
”, Phys. Rev. D
68
, 063516
(2003
).16.
Arianto
, F. P.
Zen
, S.
Feranie
, I. P.
Widyatmika
, and B. E.
Gunara
, “Kaluza-Klein brane cosmology with a bulk scalar field
”, Phys. Rev. D
8
, 377
(2007
).17.
A.
Suroso
and F. P.
Zen
, “Cosmological Model with Nonminimal Derivative Coupling of Scalar Fields in Five Dimensions
”, Gen. Rel. Grav.
45
, 799
–809
(2014
).
This content is only available via PDF.
© 2015 AIP Publishing LLC.
2015
AIP Publishing LLC
You do not currently have access to this content.
