Abstract
The axially symmetric cosmological model is investigated in the presence of anisotropic dark energy. Exact solutions of the Einstein field equations are obtained by a special law of variation for the mean Hubble parameter, which yields a constant value of the deceleration parameter. Geometrical and kinematic properties of the model and the anisotropy of the dark energy have been carried out.
Similar content being viewed by others
References
A.G. Riess et al., Astron. J. 116, 1009 (1998).
S. Perlmutter et al., Astrophys. J. 517, 565 (1999).
D.N. Spergel et al., Astrophys. J. Suppl. 148, 175 (2003).
D.N. Spergel et al., Astrophys. J. Suppl. 170, 377 (2007).
P.J.E. Peebles, B. Ratra: Rev. Mod. Phys. 75, 559 (2003).
P.J. Steinhardt, L.M. Wang, I. Zlatev, Phys. Rev. D 59, 123504 (1999).
R.R. Caldwell, Phys. Lett. B 545, 23 (2002).
R. Jimenez, New Astron. Rev. 47, 761 (2003).
M.S. Turner, M. White, Phys. Rev. D 56, R4439 (1997).
A.R. Liddle, R.J. Scherer, Phys. Rev. D 59, 023504 (1999).
Supernova Cosmology Project Collaboration (R.K. Knop et al.), Astrophys. J. 598, 102 (2003).
M. Tegmark et al., Astrophys. J. 606, 702 (2004).
F. Rahaman, B. Bhui, B.C. Bhui, Astrophys. Space Sci. 301, 47 (2006).
F. Rahaman, M. Kalam, S. Chakraborty, Acta Phys. Pol. B 40, 25 (2009).
U. Mukhopadhyay, P.P. Ghosh, S.B.D. Choudhuryu, Int. J. Mod. Phys. D 17, 301 (2008).
A.A. Usmani, P.P. Ghosh, U. Mukhopadhyay, P.C. Ray, S. Ray, Mon. Not. R. Astron. Soc. 386, L92 (2008).
O. Akarsu, C.B. Kilinc, Gen. Relativ. Gravit. 42, 763 (2010).
O. Akarsu, C.B. Kilinc, Gen. Relativ. Gravit. 42, 119 (2010).
A.K. Yadav, F. Rahaman, S. Ray, Int. J. Theor. Phys. 50, 871 (2011).
S. Ray, F. Rahaman, U. Mukhopadhyay, R. Sarkar, Int. J. Theor. Phys. 50, 2687 (2011).
A.K. Yadav, L. Yadav, Int. J. Theor. Phys. 50, 218 (2011).
A. Pradhan, H. Amirhashchi, B. Saha, Astrophys. Space Sci. 333, 343 (2011).
A. Pradhan, H. Amirhashchi, B. Saha, Int. J. Theor. Phys. 50, 2923 (2011).
H. Amirhashchi, A. Pradhan, H. Zainuddin, Int. J. Theor. Phys. 50, 3529 (2011).
H. Amirhashchi, A. Pradhan, B. Saha, Chin. Phys. Lett. 28, 039801 (2011).
B. Saha, A.K. Yadav, Astrophys. Space Sci. 341, 651 (2012).
S. Nojiri, S.D. Odintsov, Int. J. Geom. Methods Mod. Phys. 4, 115 (2007) arXiv:hep-th/0601213.
S. Nojiri, S.D. Odintsov, Phys. Rep. 505, 59 (2011).
S. Nojiri, S.D. Odintsov, Phys. Rev. D 72, 023003 (2005).
S. Nojiri, S.D. Odintsov, Phys. Lett. B 637, 139 (2006).
W. Zimdahl et al., Phys. Rev. D 64, 063501 (2001).
V.V. Kiselev, Class. Quantum Grav. 21, 3323 (2004).
M. Novello et al., Phys. Rev. D 69, 127301 (2004).
H. Wei, R.G. Cai, Phys. Rev. D 73, 083002 (2006).
T. Koivisto, D.F. Mota, Phys. Rev. D 73, 083502 (2006).
P. Astier et al., Astron. Astrophys. 447, 31 (2006).
D.F. Mota et al., Mon. Not. R. Astron. Soc. 382, 793 (2007).
A.K. Yadav, L. Yadav, Int. J. Theor. Phys. 50, 218 (2011).
A. Pradhan, H. Amirhashchi, B. Saha, Int. J. Theor. Phys. 50, 2923 (2011).
K.S. Adhav, A.S. Bansod, P. Wankhade, H.G. Ajmire, Cent. Eur. J. Phys. 9, 919 (2011).
S. Kumar, C.P. Singh, Gen. Relativ. Gravit. 43, 1427 (2011).
A.K. Yadav, Astrophys. Space Sci. 335, 565 (2011).
M.F. Shamir, A.A. Bhatti, Can. J. Phys. 90, 193 (2012).
D.R.K. Reddy, R.S. Kumar, T.V.P. Kumar, Int. J. Theor. Phys. 52, 239 (2013).
A. Pradhan, Res. Astron. Astrophys. Phys. 13, 139 (2013).
K.L. Mahanta, A.K. Biswal, P.K. Sahoo, Can. J. Phys. 92, 295 (2014).
L. Marder, Proc. R. Soc. Lond. A 246, 133 (1958).
C.B. Kilinc, Astrophys. Space Sci. 222, 171 (1994).
P. Jain, P.K. Sahoo, B. Mishra, Int. J. Theor. Phys. 51, 2546 (2012).
S. Aygun, M. Aygun, I. Tarhan, Pramana J. Phys. 68, 2130 (2007).
V.U.M. Rao, D. Neelima, D.Ch. Papa Rao, Prespacetime J. 4, 571 (2013).
P.K. Sahoo, B. Mishra, G. Chakradhar Reddy, Eur. Phys. J. Plus 129, 49 (2014).
M.S. Berman, Nuovo Cimento B 74, 182 (1983).
S. Bhattacharya, T.M. Karade, Astrophys. Space Sci. 202, 69 (1993).
S.W. Hawking, G.F.R. Ellis, The Large Structure of Space-Time (Cambridge University Press, London, 1976).
R.G. Viswakarma, Class. Quantum Grav. 17, 3833 (2000).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Sahoo, P.K., Mishra, B. Axially symmetric cosmological model with anisotropic dark energy. Eur. Phys. J. Plus 129, 196 (2014). https://doi.org/10.1140/epjp/i2014-14196-9
Received:
Accepted:
Published:
DOI: https://doi.org/10.1140/epjp/i2014-14196-9