Thermodynamics in non-linear electrodynamics with anisotropic universe

Sharif, M.; Saleem, Rabia

doi:10.1007/s10509-013-1392-7

Original Article
Published: 23 February 2013

Thermodynamics in non-linear electrodynamics with anisotropic universe

M. Sharif¹ &
Rabia Saleem¹

Astrophysics and Space Science volume 345, pages 373–380 (2013)Cite this article

190 Accesses
5 Citations
Metrics details

Abstract

In this work, we consider the framework of non-linear electrodynamics in Bianchi type I universe model composed of matter and electromagnetic field. We deal with electric and magnetic universe separately. In this scenario, we calculate the electric and magnetic fields and their corresponding matter densities using two particular types of interaction terms. We also check the validity of generalized second law of thermodynamics in both universe models enclosed by apparent horizon. It turns out that this law holds on the apparent horizon for a particular range depending upon the parameters. Finally, we discuss the deceleration and statefinder parameters to check the viability of these models.

This is a preview of subscription content, access via your institution.

Access options

Buy single article

Instant access to the full article PDF.

USD 39.95

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

References

Bandyopadhyay, T., Debnath, U.: Phys. Lett. B 704, 95 (2011)
ADS Article Google Scholar
Bandyopadhyay, T., Debnath, U.: arXiv:1208.5664 (2012)
Bardeen, J.M., Carter, B., Hawking, S.W.: Commun. Math. Phys. 31, 161 (1973)
MathSciNet ADS MATH Article Google Scholar
Berej, W., Matyjasek, J.: Phys. Rev. D 66, 024022 (2002)
MathSciNet ADS Article Google Scholar
Bousso, R.: Phys. Rev. D 71, 011 (2005)
MathSciNet Article Google Scholar
Brandenberger, R., Mukhanov, V., Sornborger, A.: Phys. Rev. D 48, 1629 (1993)
MathSciNet ADS Article Google Scholar
Cai, R.G., Cao, L.M.: Phys. Rev. D 75, 064008 (2007)
MathSciNet ADS Article Google Scholar
Chiba, T., Okabe, T., Yamaguchi, M.: Phys. Rev. D 62, 023511 (2000)
ADS Article Google Scholar
Collins, C.B.: Phys. Lett. A 60, 397 (1977)
MathSciNet ADS Article Google Scholar
De Lorenci, V.A., Klippert, R., Novello, M., Salim, J.M.: Phys. Rev. D 65, 063501 (2002)
ADS Article Google Scholar
de Sitter, W.: Proc. K. Ned. Akad. Wet. 19, 1217 (1917)
Google Scholar
Gao, C., Wu, F., Chen, X., Shen, Y.G.: Phys. Rev. D 79, 043511 (2009)
ADS Article Google Scholar
Garcia-Salcedo, R., Breton, N.: Class. Quantum Gravity 22, 4783 (2005)
MathSciNet ADS MATH Article Google Scholar
Garcia-Salcedo, R., Gonzalez, T., Moreno, C., Quiros, I.: arXiv:0905.1103 (2009)
Giovannini, M., Shaposhnikov, M.: Phys. Rev. D 57, 2186 (1998)
ADS Article Google Scholar
Hawking, S., Penrose, R.: Proc. R. Soc. Lond. Ser. A, Math. Phys. Sci. 314, 529 (1970)
MathSciNet ADS MATH Article Google Scholar
Hawking, S.W.: Commun. Math. Phys. 43, 199 (1975)
MathSciNet ADS Article Google Scholar
Jamil, M., Saridakis, E.N., Setare, M.R.: Phys. Rev. D 81, 023007 (2010)
ADS Article Google Scholar
Malekjani, M., Khodam-Mohammadi, A., Nazari-pooya, N.: Astrophys. Space Sci. 332, 515 (2011)
ADS Article Google Scholar
Mukhanov, V., Brandenberger, R.: Phys. Rev. Lett. 68, 1969 (1992)
MathSciNet ADS MATH Article Google Scholar
Narlikar, J.V., Padmanabhan, T.: Phys. Rev. D 32, 1928 (1985)
MathSciNet ADS Article Google Scholar
Nojiri, S., Odintsov, S.D.: Phys. Lett. B 562, 147 (2003)
MathSciNet ADS MATH Article Google Scholar
Novello, M., Salim, J.M.: Phys. Rev. D 20, 377 (1979)
MathSciNet ADS Article Google Scholar
Perlmutter, S., et al.: Nature 391, 51 (1998)
ADS Article Google Scholar
Perlmutter, S., et al.: Astrophys. J. 517, 565 (1999)
ADS Article Google Scholar
Padmanabhan, T.: Gen. Relativ. Gravit. 40, 529 (2008)
MathSciNet ADS MATH Article Google Scholar
Riess, A.G., et al.: Astron. J. 116, 1009 (1998)
ADS Article Google Scholar
Sahni, V., et al.: JETP Lett. 77, 201 (2003)
ADS Article Google Scholar
Salim, J.M., de Olivera, H.P.: Acta Phys. Pol. B 19, 649 (1988)
ADS Google Scholar
Setare, M.R.: Phys. Lett. B 641, 130 (2006a)
MathSciNet ADS MATH Article Google Scholar
Setare, M.R.: Phys. Lett. B 642, 1 (2006b)
MathSciNet ADS MATH Article Google Scholar
Setare, M.R., Shafei, S.: J. Cosmol. Astropart. Phys. 0609, 011 (2006)
ADS Article Google Scholar
Setare, M.R.: J. Cosmol. Astropart. Phys. 0701, 023 (2007)
MathSciNet ADS Article Google Scholar
Setare, M.R., Zhang, J., Zhang, X.: J. Cosmol. Astropart. Phys. 0703, 007 (2007)
ADS Article Google Scholar
Setare, M.R., Vagenas, E.C.: Phys. Lett. B 666, 111 (2008)
MathSciNet ADS Article Google Scholar
Sharif, M., Zubair, M.: Astrophys. Space Sci. 330, 399 (2010)
ADS MATH Article Google Scholar
Sharif, M., Khanum, F.: Gen. Relativ. Gravit. 43, 2885 (2011a)
MathSciNet ADS MATH Article Google Scholar
Sharif, M., Khanum, F.: Astrophys. Space Sci. 334, 209 (2011b)
ADS MATH Article Google Scholar
Sharif, M., Jawad, A.: Astrophys. Space Sci. 337, 789 (2012)
ADS MATH Article Google Scholar
Sharif, M., Saleem, R.: Mod. Phys. Lett. A 27, 1250187 (2012a)
ADS Article Google Scholar
Sharif, M., Saleem, R.: Int. J. Mod. Phys. D 21, 1250046 (2012b)
ADS Article Google Scholar
Vollick, D.N.: Phys. Rev. D 78, 063524 (2008)
MathSciNet ADS Article Google Scholar
Wang, B., Gong, Y., Abdalla, E.: Phys. Rev. D 74, 083520 (2006)
ADS Article Google Scholar

Download references

Author information

Authors and Affiliations

Department of Mathematics, University of the Punjab, Quaid-e-Azam Campus, Lahore, 54590, Pakistan
M. Sharif & Rabia Saleem

Authors

M. Sharif
View author publications
You can also search for this author in PubMed Google Scholar
Rabia Saleem
View author publications
You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to M. Sharif.

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Sharif, M., Saleem, R. Thermodynamics in non-linear electrodynamics with anisotropic universe. Astrophys Space Sci 345, 373–380 (2013). https://doi.org/10.1007/s10509-013-1392-7

Download citation

Received: 18 January 2013
Accepted: 14 February 2013
Published: 23 February 2013
Issue Date: June 2013
DOI: https://doi.org/10.1007/s10509-013-1392-7

Keywords

Thermodynamics
Non-linear electrodynamics
Statefinder parameters