# Constraints on cosmological parameters in power-law cosmology

## Abstract

In this paper, we examine observational constraints on the power law cosmology; essentially dependent on two parameters H{sub 0} (Hubble constant) and q (deceleration parameter). We investigate the constraints on these parameters using the latest 28 points of H(z) data and 580 points of Union2.1 compilation data and, compare the results with the results of ΛCDM . We also forecast constraints using a simulated data set for the future JDEM, supernovae survey. Our studies give better insight into power law cosmology than the earlier done analysis by Kumar [arXiv:1109.6924] indicating it tuning well with Union2.1 compilation data but not with H(z) data. However, the constraints obtained on and i.e. H{sub 0} average and q average using the simulated data set for the future JDEM, supernovae survey are found to be inconsistent with the values obtained from the H(z) and Union2.1 compilation data. We also perform the statefinder analysis and find that the power-law cosmological models approach the standard ΛCDM model as q → −1. Finally, we observe that although the power law cosmology explains several prominent features of evolution of the Universe, it fails in details.

- Authors:

- Department of Mathematics, Netaji Subhas Institute of Technology, University of Delhi, Sector-3, Dwarka, New Delhi-110078 (India)
- Department of General and Theoretical Physics, Eurasian National University, Astana-010008 (Kazakhstan)
- Center For Theoretical Physics, Jamia Millia Islamia, Jamia Nagar, New Delhi-110025 (India)

- Publication Date:

- OSTI Identifier:
- 22525941

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Journal of Cosmology and Astroparticle Physics; Journal Volume: 2015; Journal Issue: 03; Other Information: Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; ACCELERATION; COMPARATIVE EVALUATIONS; COSMOLOGICAL CONSTANT; COSMOLOGICAL MODELS; COSMOLOGY; GALACTIC EVOLUTION; LIMITING VALUES; SUPERNOVAE; UNIVERSE

### Citation Formats

```
Rani, Sarita, Singh, J.K., Altaibayeva, A., Myrzakulov, R., and Shahalam, M., E-mail: sarita_maths@yahoo.co.in, E-mail: aziza.bibol@mail.ru, E-mail: mdshahalam@ctp-jamia.res.in, E-mail: jainendrrakumar@rediffmail.com, E-mail: rmyrzakulov@gmail.com.
```*Constraints on cosmological parameters in power-law cosmology*. United States: N. p., 2015.
Web. doi:10.1088/1475-7516/2015/03/031.

```
Rani, Sarita, Singh, J.K., Altaibayeva, A., Myrzakulov, R., & Shahalam, M., E-mail: sarita_maths@yahoo.co.in, E-mail: aziza.bibol@mail.ru, E-mail: mdshahalam@ctp-jamia.res.in, E-mail: jainendrrakumar@rediffmail.com, E-mail: rmyrzakulov@gmail.com.
```*Constraints on cosmological parameters in power-law cosmology*. United States. doi:10.1088/1475-7516/2015/03/031.

```
Rani, Sarita, Singh, J.K., Altaibayeva, A., Myrzakulov, R., and Shahalam, M., E-mail: sarita_maths@yahoo.co.in, E-mail: aziza.bibol@mail.ru, E-mail: mdshahalam@ctp-jamia.res.in, E-mail: jainendrrakumar@rediffmail.com, E-mail: rmyrzakulov@gmail.com. Sun .
"Constraints on cosmological parameters in power-law cosmology". United States. doi:10.1088/1475-7516/2015/03/031.
```

```
@article{osti_22525941,
```

title = {Constraints on cosmological parameters in power-law cosmology},

author = {Rani, Sarita and Singh, J.K. and Altaibayeva, A. and Myrzakulov, R. and Shahalam, M., E-mail: sarita_maths@yahoo.co.in, E-mail: aziza.bibol@mail.ru, E-mail: mdshahalam@ctp-jamia.res.in, E-mail: jainendrrakumar@rediffmail.com, E-mail: rmyrzakulov@gmail.com},

abstractNote = {In this paper, we examine observational constraints on the power law cosmology; essentially dependent on two parameters H{sub 0} (Hubble constant) and q (deceleration parameter). We investigate the constraints on these parameters using the latest 28 points of H(z) data and 580 points of Union2.1 compilation data and, compare the results with the results of ΛCDM . We also forecast constraints using a simulated data set for the future JDEM, supernovae survey. Our studies give better insight into power law cosmology than the earlier done analysis by Kumar [arXiv:1109.6924] indicating it tuning well with Union2.1 compilation data but not with H(z) data. However, the constraints obtained on and i.e. H{sub 0} average and q average using the simulated data set for the future JDEM, supernovae survey are found to be inconsistent with the values obtained from the H(z) and Union2.1 compilation data. We also perform the statefinder analysis and find that the power-law cosmological models approach the standard ΛCDM model as q → −1. Finally, we observe that although the power law cosmology explains several prominent features of evolution of the Universe, it fails in details.},

doi = {10.1088/1475-7516/2015/03/031},

journal = {Journal of Cosmology and Astroparticle Physics},

number = 03,

volume = 2015,

place = {United States},

year = {Sun Mar 01 00:00:00 EST 2015},

month = {Sun Mar 01 00:00:00 EST 2015}

}