Constraining the Parameters of Modified Chaplygin Gas in Einstein-Aether Gravity
We have assumed FRW model of the universe in Einstein-Aether gravity filled with dark matter and modified Chaplygin gas (MCG) type dark energy. We present the Hubble parameter in terms of some unknown parameters and observational parameters with the redshift z. From observed Hubble data (OHD) set (1...
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Wiley
2014-01-01
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| Series: | Advances in High Energy Physics |
| Online Access: | http://dx.doi.org/10.1155/2014/653630 |
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| author | Ujjal Debnath |
| author_facet | Ujjal Debnath |
| author_sort | Ujjal Debnath |
| collection | DOAJ |
| description | We have assumed FRW model of the universe in Einstein-Aether gravity filled with dark matter and modified Chaplygin gas (MCG) type dark energy. We present the Hubble parameter in terms of some unknown parameters and observational parameters with the redshift z. From observed Hubble data (OHD) set (12 points), we have obtained the bounds of the arbitrary parameters (A,B) of MCG by minimizing the χ2 test. Next due to joint analysis of BAO and CMB observations, we have also obtained the best fit values and the bounds of the parameters (A,B) by fixing some other parameters. We have also taken type Ia supernovae data set (union 2 data set with 557 data points). Next due to joint analysis with SNe, we have obtained the best fit values of parameters. The best fit values and bounds of the parameters are obtained by 66%, 90%, and 99% confidence levels for OHD, OHD + BAO, OHD + BAO + CMB, and OHD + BAO + CMB + SNe joint analysis. The distance modulus μz against redshift z for our theoretical MCG model in Einstein-Aether gravity has been tested for the best fit values of the parameters and the observed SNe Ia union2 data sample. |
| format | Article |
| id | doaj-art-a69ff7a1f50746909624520234511d43 |
| institution | Kabale University |
| issn | 1687-7357 1687-7365 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
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| series | Advances in High Energy Physics |
| spelling | doaj-art-a69ff7a1f50746909624520234511d432025-02-03T05:45:59ZengWileyAdvances in High Energy Physics1687-73571687-73652014-01-01201410.1155/2014/653630653630Constraining the Parameters of Modified Chaplygin Gas in Einstein-Aether GravityUjjal Debnath0Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, Howrah 711 103, IndiaWe have assumed FRW model of the universe in Einstein-Aether gravity filled with dark matter and modified Chaplygin gas (MCG) type dark energy. We present the Hubble parameter in terms of some unknown parameters and observational parameters with the redshift z. From observed Hubble data (OHD) set (12 points), we have obtained the bounds of the arbitrary parameters (A,B) of MCG by minimizing the χ2 test. Next due to joint analysis of BAO and CMB observations, we have also obtained the best fit values and the bounds of the parameters (A,B) by fixing some other parameters. We have also taken type Ia supernovae data set (union 2 data set with 557 data points). Next due to joint analysis with SNe, we have obtained the best fit values of parameters. The best fit values and bounds of the parameters are obtained by 66%, 90%, and 99% confidence levels for OHD, OHD + BAO, OHD + BAO + CMB, and OHD + BAO + CMB + SNe joint analysis. The distance modulus μz against redshift z for our theoretical MCG model in Einstein-Aether gravity has been tested for the best fit values of the parameters and the observed SNe Ia union2 data sample.http://dx.doi.org/10.1155/2014/653630 |
| spellingShingle | Ujjal Debnath Constraining the Parameters of Modified Chaplygin Gas in Einstein-Aether Gravity Advances in High Energy Physics |
| title | Constraining the Parameters of Modified Chaplygin Gas in Einstein-Aether Gravity |
| title_full | Constraining the Parameters of Modified Chaplygin Gas in Einstein-Aether Gravity |
| title_fullStr | Constraining the Parameters of Modified Chaplygin Gas in Einstein-Aether Gravity |
| title_full_unstemmed | Constraining the Parameters of Modified Chaplygin Gas in Einstein-Aether Gravity |
| title_short | Constraining the Parameters of Modified Chaplygin Gas in Einstein-Aether Gravity |
| title_sort | constraining the parameters of modified chaplygin gas in einstein aether gravity |
| url | http://dx.doi.org/10.1155/2014/653630 |
| work_keys_str_mv | AT ujjaldebnath constrainingtheparametersofmodifiedchaplygingasineinsteinaethergravity |