Constraining parameters for the accelerating universe in <math altimg="si16.svg" display="inline" id="d1e971"><mrow><mi>f</mi><mrow><mo>(</mo><mi>R</mi><mo>,</mo><msub><mrow><mi mathvariant="script">L</mi></mrow><mrow><mi>m</mi></mrow></msub><mo>)</mo></mrow></mrow></math> gravity - INSPIRE

DataBETA

Constraining parameters for the accelerating universe in $f (R, L_{m})$ gravity

Jul 9, 2024

12 pages

Published in:

Phys.Dark Univ. 46 (2024) 101640

Published: Sep 6, 2024

e-Print:

2407.09569 [gr-qc]

DOI:

10.1016/j.dark.2024.101640 (publication)

View in:

ADS Abstract Service

reference search0 citations

Citations per year

0 Citations

Abstract: (Elsevier B.V.)

In the paper, we present an accelerating cosmological model in

f (R, L_{m})

gravity with the parameter constrained through the cosmological data sets. At the beginning, we have employed a functional form of

f (R, L_{m}) = \frac{R}{2} + α R^{2} + L_{m}^{β}

, where

α

and

β

are model parameters. This model is well motivated from the Starobinsky model in

f (R)

gravity and the power law form of

f (L_{m})

. The Hubble parameter has been derived with some algebraic manipulation and constrained by Hubble data and Pantheon

^{+}

data. With the constraint parameters, present value of deceleration parameter has been obtained to as

q_{0} \approx - 0.63

with the transition at

z_{t} \approx 0.7

. It shows the early deceleration and late time acceleration behaviour. The present value of other geometric parameters such as the jerk and snap parameter are obtained to be

j_{0} \approx 0.78

and

s_{0} \approx 0.1

respectively. The state finder diagnostic test gives the quintessence behaviour at present and converging to

Λ

CDM at late times. Moreover the

O m (z)

diagnostics gives negative slope which shows that the model favours the state finder diagnostic result. Also the current age of Universe has been obtained as,

t_{0} = 13.64 G y r s

. The equation of state parameter also shows the quintessence behaviour. Based on the present analysis, it indicates that the

f (R, L_{m})

gravitational theory may be another alternative to study the dark energy models.

Note:

12 pages, 10 figures

(
, ℒ
) gravity
Accelerating universe
data
diagnostics

References(60)

Figures(11)

[1]

First year Wilkinson Microwave Anisotropy Probe (WMAP) observations: Preliminary maps and basic results

WMAP

Collaboration

•

C.L. Bennett

et al.

- Astrophys.J.Suppl. 148 (2003) 1-27
•
e-Print:
- astro-ph/0302207
•
DOI:
- 10.1086/377253

[2]

First year Wilkinson Microwave Anisotropy Probe (WMAP) observations: Determination of cosmological parameters

WMAP

Collaboration

•

D.N. Spergel

et al.

- Astrophys.J.Suppl. 148 (2003) 175-194
•
e-Print:
- astro-ph/0302209
•
DOI:
- 10.1086/377226

[3]

Wilkinson Microwave Anisotropy Probe (WMAP) three year results: implications for cosmology

WMAP

Collaboration

•

D.N. Spergel
(
- Princeton U., Astrophys. Sci. Dept. and
- Cerro-Tololo InterAmerican Obs.
)

et al.

- Astrophys.J.Suppl. 170 (2007) 377
•
e-Print:
- astro-ph/0603449
•
DOI:
- 10.1086/513700

[4]

Measurements of the cosmological parameters Omega and Lambda from the first 7 supernovae at z>=0.35

Supernova Cosmology Project

Collaboration

•

S. Perlmutter

et al.

- Astrophys.J. 483 (1997) 565
•
e-Print:
- astro-ph/9608192
•
DOI:
- 10.1086/304265

[5]

Discovery of a supernova explosion at half the age of the Universe and its cosmological implications

Supernova Cosmology Project

Collaboration

•

S. Perlmutter
(
- LBL, Berkeley and
- UC, Berkeley, CfPA
)

et al.

- Nature 391 (1998) 51-54
•
e-Print:
- astro-ph/9712212
•
DOI:
- 10.1038/34124

[6]

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

[7]

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

[8]

New Hubble Space Telescope Discoveries of Type Ia Supernovae at z>=1: Narrowing Constraints on the Early Behavior of Dark Energy

et al.

- Astrophys.J. 659 (2007) 98-121
•
e-Print:
- astro-ph/0611572
•
DOI:
- 10.1086/510378

[9]

The 2dF Galaxy Redshift Survey: Correlation functions, peculiar velocities and the matter density of the universe

et al.

- Mon.Not.Roy.Astron.Soc. 346 (2003) 78
•
e-Print:
- astro-ph/0212375
•
DOI:
- 10.1046/j.1365-2966.2003.07063.x

[10]

Cosmological parameters from SDSS and WMAP

SDSS

Collaboration

•

Max Tegmark
(
- Pennsylvania U. and
- MIT
)

et al.

- Phys.Rev.D 69 (2004) 103501
•
e-Print:
- astro-ph/0310723
•
DOI:
- 10.1103/PhysRevD.69.103501

[11]

The 2dF Galaxy Redshift Survey: Power-spectrum analysis of the final dataset and cosmological implications

2dFGRS

Collaboration

•

Shaun Cole

et al.

- Mon.Not.Roy.Astron.Soc. 362 (2005) 505-534
•
e-Print:
- astro-ph/0501174
•
DOI:
- 10.1111/j.1365-2966.2005.09318.x

[12]

Detection of the Baryon Acoustic Peak in the Large-Scale Correlation Function of SDSS Luminous Red Galaxies

SDSS

Collaboration

•

Daniel J. Eisenstein
(
- Arizona U.
)

et al.

- Astrophys.J. 633 (2005) 560-574
•
e-Print:
- astro-ph/0501171
•
DOI:
- 10.1086/466512

[13]

Introduction to modified gravity and gravitational alternative for dark energy

- eConf C0602061 (2006) 06,
- Int.J.Geom.Meth.Mod.Phys. 4 (2007) 115-146
•
e-Print:
- hep-th/0601213
•
DOI:
- 10.1142/S0219887807001928

[14]

Extended Theories of Gravity

Salvatore Capozziello
(
- INFN, Naples and
- Naples U.
)
,
Mariafelicia De Laurentis
(
- INFN, Naples and
- Naples U.
)

- Phys.Rept. 509 (2011) 167-321
•
e-Print:
- 1108.6266
•
DOI:
- 10.1016/j.physrep.2011.09.003

[15]

Modified Gravity and Cosmology. An Update by the CANTATA Network

CANTATA

Collaboration

•

Emmanuel N. Saridakis
(
- Athens Observ. and
- CAS, CECP, Hefei and
- Hefei, CUST
)
(ed.)

et al.

[16]

Renormalization of Higher Derivative Quantum Gravity

K.S. Stelle
(
- Brandeis U.
)

- Phys.Rev.D 16 (1977) 953-969
•
DOI:
- 10.1103/PhysRevD.16.953

[17]

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

[18]

Improved cosmological constraints from a joint analysis of the SDSS-II and SNLS supernova samples

SDSS

Collaboration

•

M. Betoule
(
- Paris U., VI-VII
)

et al.

- Astron.Astrophys. 568 (2014) A22
•
e-Print:
- 1401.4064
•
DOI:
- 10.1051/0004-6361/201423413

[19]

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

[20]

Planck 2015 results. XI. CMB power spectra, likelihoods, and robustness of parameters

Planck

Collaboration

•

N. Aghanim
(
- Orsay
)

et al.

- Astron.Astrophys. 594 (2016) A11
•
e-Print:
- 1507.02704
•
DOI:
- 10.1051/0004-6361/201526926

[21]

Is Cosmic Speed-Up Due to New Gravitational Physics?

Sean M. Carroll
(
- Chicago U., EFI and
- Chicago U. and
- Chicago U., KICP
)
,
Vikram Duvvuri
(
- Chicago U., EFI and
- Chicago U. and
- Chicago U., KICP
)
,
Mark Trodden
(
- Syracuse U.
)
,
Michael S. Turner
(
- Chicago U., EFI and
- Chicago U. and
- Chicago U., KICP and
- Chicago U., Astron. Astrophys. Ctr. and
- Fermilab
)

- Phys.Rev.D 70 (2004) 043528
•
e-Print:
- astro-ph/0306438
•
DOI:
- 10.1103/PhysRevD.70.043528

[22]

Models of f(R) Cosmic Acceleration that Evade Solar-System Tests

Wayne Hu
(
)
,
Ignacy Sawicki
(
- Chicago U., KICP and
- Chicago U., EFI and
- Chicago U.
)

- Phys.Rev.D 76 (2007) 064004
•
e-Print:
- 0705.1158
•
DOI:
- 10.1103/PhysRevD.76.064004

[23]

Stability of Cosmological Solution in f(R) Models of Gravity

Ignacy Sawicki
(
- Chicago U., KICP and
- Chicago U., EFI
)
,
Wayne Hu
(
- Chicago U.
)

- Phys.Rev.D 75 (2007) 127502
•
e-Print:
- astro-ph/0702278
•
DOI:
- 10.1103/PhysRevD.75.127502

[24]

Phantom crossing, equation-of-state singularities, and local gravity constraints in f(R) models

- Phys.Lett.B 660 (2008) 125-132
•
e-Print:
- 0705.0396
•
DOI:
- 10.1016/j.physletb.2007.12.041

[25]

Dark energy and dust matter phases from an exact $f(R)$ -cosmology model

P. Martin-Moruno
(
- INFN, Naples and
- Naples U.
)
,
S. Capozziello
(
- Madrid, IMAFF
)
,
C. Rubano
(
- Madrid, IMAFF
)

- Phys.Lett.B 664 (2008) 12-15
•
e-Print:
- 0804.4340
•
DOI:
- 10.1016/j.physletb.2008.04.061

1-25 of 60
1
2
3
25 / page