A parametric reconstruction of the deceleration parameter - INSPIRE

DataBETA

A parametric reconstruction of the deceleration parameter

Abdulla Al Mamon
(
- Visva Bharati U.
)
,
Sudipta Das
(
- Visva Bharati U.
)

Oct 24, 2016

9 pages

Published in:

Eur.Phys.J.C 77 (2017) 7, 495

Published: Jul 25, 2017

e-Print:

1610.07337 [gr-qc]

DOI:

10.1140/epjc/s10052-017-5066-4

View in:

ADS Abstract Service

reference search95 citations

Citations per year

Abstract: (Springer)

The present work is based on a parametric reconstruction of the deceleration parameter q(z) in a model for the spatially flat FRW universe filled with dark energy and non-relativistic matter. In cosmology, the parametric reconstruction technique deals with an attempt to build up a model by choosing some specific evolution scenario for a cosmological parameter and then estimate the values of the parameters with the help of different observational datasets. In this paper, we have proposed a logarithmic parametrization of q(z) to probe the evolution history of the universe. Using the type Ia supernova, baryon acoustic oscillation and the cosmic microwave background datasets, the constraints on the arbitrary model parameters

q_{0}

and

q_{1}

are obtained (within

1\sigma

and

2\sigma

confidence limits) by

\chi ^{2}

-minimization technique. We have then reconstructed the deceleration parameter, the total EoS parameter

\omega _\mathrm{tot}

, the jerk parameter and have compared the reconstructed results of q(z) with other well-known parametrizations of q(z). We have also shown that two model selection criteria (namely, the Akaike information criterion and Bayesian information criterion) provide a clear indication that our reconstructed model is well consistent with other popular models.

Note:

v2:substantially revised, refs added, Accepted for publication in European Physical Journal C

98.80.Hw
cosmic acceleration
deceleration parameter
jerk parameter
data analysis

References(44)

Figures(13)

[1]

Observational evidence from supernovae for an accelerating universe and a cosmological constant

et al.

- Astron.J. 116 (1998) 1009-1038
•
e-Print:
- astro-ph/9805201
•
DOI:
- 10.1086/300499

[2]

Measurements of $\Omega$ and $\Lambda$ from 42 High Redshift Supernovae

Supernova Cosmology Project

Collaboration

•

S. Perlmutter
(
- UC, Berkeley, CfPA
)

et al.

- Astrophys.J. 517 (1999) 565-586
•
e-Print:
- astro-ph/9812133
•
DOI:
- 10.1086/307221

[3]

The Cosmological Constant Problem

Steven Weinberg
(
- Texas U.
)

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

[4]

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

[5]

Dynamics of dark energy

Edmund J. Copeland
(
- Nottingham U.
)
,
M. Sami
(
- Jamia Millia Islamia
)
,
Shinji Tsujikawa
(
- Gunma Coll. Tech.
)

- Int.J.Mod.Phys.D 15 (2006) 1753-1936
•
e-Print:
- hep-th/0603057
•
DOI:
- 10.1142/S021827180600942X

[6]

Dark Energy

L. Amendola
,
S. Tsujikawa

[7]

Do SNe Ia provide direct evidence for past deceleration of the universe?

Michael S. Turner
(
)
,
Adam G. Riess
(
- Baltimore, Space Telescope Sci.
)

- Astrophys.J. 569 (2002) 18
•
e-Print:
- astro-ph/0106051
•
DOI:
- 10.1086/338580

[8]

Type Ia supernova discoveries at z > 1 from the Hubble Space Telescope: Evidence for past deceleration and constraints on dark energy evolution

et al.

- Astrophys.J. 607 (2004) 665-687
•
e-Print:
- astro-ph/0402512
•
DOI:
- 10.1086/383612

[9]

Observational constraints on the acceleration of the universe

Yungui Gong
(
- CUPT, Chongqing and
- Baylor U.
)
,
Anzhong Wang
(
- Baylor U.
)

- Phys.Rev.D 73 (2006) 083506
•
e-Print:
- astro-ph/0601453
•
DOI:
- 10.1103/PhysRevD.73.083506

[10]

Reconstruction of the deceleration parameter and the equation of state of dark energy

Yun-Gui Gong
(
- CUPT, Chongqing and
- Baylor U.
)
,
Anzhong Wang
(
- Baylor U.
)

- Phys.Rev.D 75 (2007) 043520
•
e-Print:
- astro-ph/0612196
•
DOI:
- 10.1103/PhysRevD.75.043520

[11]

Transition Redshift: New Kinematic Constraints from Supernovae

- Mon.Not.Roy.Astron.Soc. 390 (2008) 210-217
•
e-Print:
- 0805.1261
•
DOI:
- 10.1111/j.1365-2966.2008.13640.x

[12]

Kinematic Constraints to the Transition Redshift from SNe Ia Union Data

J.V. Cunha
(
- Sao Paulo U., IAG
)

- Phys.Rev.D 79 (2009) 047301
•
e-Print:
- 0811.2379
•
DOI:
- 10.1103/PhysRevD.79.047301

[13]

Current constraints on the epoch of cosmic acceleration

B. Santos
(
- Rio de Janeiro Observ.
)
,
J.C. Carvalho
(
- Rio Grande do Norte U.
)
,
J.S. Alcaniz
(
- Rio de Janeiro Observ.
)

- Astropart.Phys. 35 (2011) 17-20
•
e-Print:
- 1009.2733
•
DOI:
- 10.1016/j.astropartphys.2011.04.002

[14]

Cosmokinetics: A joint analysis of Standard Candles, Rulers and Cosmic Clocks

Remya Nair
(
- Jamia Millia Islamia
)
,
Sanjay Jhingan
(
- Jamia Millia Islamia
)
,
Deepak Jain
(
- Deen Dayal Upadhyaya Coll.
)

- JCAP 01 (2012) 018
•
e-Print:
- 1109.4574
•
DOI:
- 10.1088/1475-7516/2012/01/018

[15]

Probing kinematics and fate of the Universe with linearly time-varying deceleration parameter

Ozgur Akarsu
(
- Koc U.
)
,
Tekin Dereli
(
- Koc U.
)
,
Suresh Kumar
(
- Birla Inst. Tech. Sci.
)
,
Lixin Xu
(
- Dalian U. Tech.
)

- Eur.Phys.J.Plus 129 (2014) 22
•
e-Print:
- 1305.5190
•
DOI:
- 10.1140/epjp/i2014-14022-6

[16]

Constraints to deceleration parameters by recent cosmic observations

- Mod.Phys.Lett.A 23 (2008) 1939-1948
•
e-Print:
- astro-ph/0701519
•
DOI:
- 10.1142/S0217732308025991

[17]

Cosmic constraints on deceleration parameter with Sne Ia and CMB

Lixin Xu
(
- Dalian U. Tech.
)
,
Jianbo Lu
(
- Dalian U. Tech.
)

- Mod.Phys.Lett.A 24 (2009) 369-376
•
DOI:
- 10.1142/S0217732309027212

[18]

Three thermodynamically-based parameterizations of the deceleration parameter

Sergio del Campo
(
- Valparaiso U., Catolica
)
,
Ivan Duran
(
- Barcelona, Autonoma U.
)
,
Ramon Herrera
(
- Valparaiso U., Catolica
)
,
Diego Pavon
(
- Barcelona, Autonoma U.
)

- Phys.Rev.D 86 (2012) 083509
•
e-Print:
- 1209.3415
•
DOI:
- 10.1103/PhysRevD.86.083509

[19]

A divergence free parametrization of deceleration parameter for scalar field dark energy

Abdulla Al Mamon
(
- Visva Bharati U.
)
,
Sudipta Das
(
- Visva Bharati U.
)

- Int.J.Mod.Phys.D 25 (2016) 03, 1650032
•
e-Print:
- 1507.00531
•
DOI:
- 10.1142/S0218271816500322

[20]

Model Independent Reconstruction of the Expansion History of the Universe and the Properties of Dark Energy

Arman Shafieloo
(
- IUCAA, Pune
)

- Mon.Not.Roy.Astron.Soc. 380 (2007) 1573-1580
•
e-Print:
- astro-ph/0703034
•
DOI:
- 10.1111/j.1365-2966.2007.12175.x

[21]

Nonparametric Reconstruction of the Dark Energy Equation of State

et al.

- Phys.Rev.D 82 (2010) 103502
•
e-Print:
- 1009.5443
•
DOI:
- 10.1103/PhysRevD.82.103502

[22]

Nonparametric Reconstruction of the Dark Energy Equation of State from Diverse Data Sets

Tracy Holsclaw
(
- UC, Santa Cruz
)
,
Ujjaini Alam
(
- Los Alamos
)
,
Bruno Sanso
(
- UC, Santa Cruz
)
,
Herbie Lee
(
- UC, Santa Cruz
)
,
Katrin Heitmann
(
- Los Alamos and
- Argonne
)

et al.

- Phys.Rev.D 84 (2011) 083501
•
e-Print:
- 1104.2041
•
DOI:
- 10.1103/PhysRevD.84.083501

[23]

Fables of reconstruction: controlling bias in the dark energy equation of state

- JCAP 02 (2012) 048
•
e-Print:
- 1112.1693
•
DOI:
- 10.1088/1475-7516/2012/02/048

[24]

Exploring scalar field dynamics with Gaussian processes

Remya Nair
(
- Jamia Millia Islamia
)
,
Sanjay Jhingan
(
- Jamia Millia Islamia
)
,
Deepak Jain
(
- Delhi U.
)

- JCAP 01 (2014) 005
•
e-Print:
- 1306.0606
•
DOI:
- 10.1088/1475-7516/2014/01/005

[25]

Reconstructing Dark Energy

Varun Sahni
(
- IUCAA, Pune
)
,
Alexei Starobinsky
(
- Landau Inst.
)

- Int.J.Mod.Phys.D 15 (2006) 2105-2132
•
e-Print:
- astro-ph/0610026
•
DOI:
- 10.1142/S0218271806009704

1-25 of 44
1
2
25 / page