Abstract
Plane symmetric cosmological models are investigated with or without any dark energy components in the field equations. Keeping an eye on the recent observational constraints concerning the accelerating phase of expansion of the universe, the role of the magnetic field is assessed. In the absence of dark energy components, the magnetic field can favour an accelerating model even if we take a linear relationship between the directional Hubble parameters. In the presence of dark energy components in the form of a time-varying cosmological constant, the influence of the magnetic field is found to be limited.
Similar content being viewed by others
References
A.G. Reiss et al., Astron. J. 116, 1009 (1998).
A.G. Reiss et al., Astron. J. 607, 665 (2004).
S. Perlmutter et al., Nature 391, 51 (1998).
R. Knop et al., Astrophys. J. 598, 102 (2003).
A.G. Reiss et al., Astrophys. J. 659, 98 (2007).
D.N. Spergel et al., Astrophys. J. S 170, 377 (2007).
A. Blanchard et al., Astrophys. J. 659, 98 (2007).
S.W. Allen et al., Mon. Not. R. Astron. Soc. 353, 457 (2004).
D.J. Eisenstein et al., Astrophys. J. 633, 560 (2005).
M. Sullivan et al., Astrophys. J. 737, 102 (2011).
N. Suzuki, et al., Astrophys. J 746, 85 (2012).
Planck Collaboration (P.A.R. Ade et al.), Astron. Astrophys. 571, A1 (2014).
Planck Collaboration (P.A.R. Ade et al.), Astron. Astrophys. 571, A16 (2014).
Planck Collaboration (P.A.R. Ade et al.), Astron. Astrophys. 571, A22 (2014).
Planck Collaboration (P.A.R. Ade et al.), Astron. Astrophys. 571, A24 (2014).
E.J. Copeland, M. Sami, S. Tsujikawa, Int. J. Mod. Phys. D 15, 1753 (2006).
R.R. Caldwell, M. Kamionkowski, Annu. Rev. Nucl. Part. Sci. 59, 397 (2009).
A. Silvestri, M. Trodden, Rep. Prog. Phys. 72, 096901 (2009).
P. Astier, R. Pain, arXiv:1204.5493[astro-ph.CO] (2012).
S. Carroll, Living Rev. Relativ. 4, 1 (2001) [online article].
S. Weinberg, Rev. Mod. Phys. 61, 1 (1989).
B. Ratra, P.J.E. Peebles, Phys. Rev. D 37, 321 (1988).
R.R. Caldwell, Phys. Lett. B 545, 23 (2002).
F. Piazza, S. Tsujikawa, JCAP 07, 004 (2004).
T. Chiba, T. Okabe, M. Yamaguchi, Phys. Rev. D 62, 02351 (2000).
S. Nojiri, S.D. Odintsov, Phys. Rev. D 68, 123512 (2003).
A. de Felice, S. Tsujikawa, Living Rev. Relativ. 13, 3 (2010) http://www.livingreviews.org.
S. Nojiri, S.D. Odintsov, M. Sasaki, Phys. Rev. D 71, 123509 (2005).
S. Nojiri, S.D. Odintsov, Phys. Lett. B 631, 1 (2005).
M. Li, Phys. Lett. B 603, 1 (2004).
WMAP Collaboration (G. Hinshaw et al.), Astrophys. J. Suppl. Ser. 180, 225 (2009).
A. Antoniou, L. Perivolaropoulos, JCAP 12, 012 (2012).
L. Ackerman, S.M. Caroll, M.B. Wise, Phys. Rev. D 75, 083502 (2007).
F. Ohashi, J. Soda, S. Tsujikawa, JCAP 12, 009 (2013).
N.E. Groeneboom, L. Ackerman, I.K. Wehus, H.K. Erikesn, Astrophs. J. 722, 452 (2010) arXiv:0911.0150[astro-h.CO].
R.V. Buiny, A. Berera, T.W. Kephart, Phys. Rev. D 73, 063529 (2006).
M. Watanabe, S. Kanno, J. Soda, Phys. Rev. Lett. 102, 191302 (2009).
L. Campanelli, P. Cea, L. Tedesco, Phys. Rev. Lett. 97, 131302 (2006).
L. Campanelli, P. Cea, L. Tedesco, Phys. Rev. D 76, 063007 (2007).
L. Campanelli, Phys. Rev. D 80, 063006 (2009).
A. Gruppo, Phys. Rev. D 76, 083010 (2010).
S.K. Tripathy, S.K. Nayak, S.K. Sahu, T.R. Routray, Astrophys. Space Sci. 318, 125 (2008).
S.K. Tripathy, S.K. Nayak, S.K. Sahu, T.R. Routray, Astrophys. Space Sci. 321, 247 (2009).
S.K. Tripathy, S.K. Nayak, S.K. Sahu, T.R. Routray, Astrophys. Space Sci. 323, 281 (2009).
S.K. Tripathy, D. Behera, T.R. Routray, Astrophys. Space Sci. 325, 93 (2010).
S.K. Tripathy, Int. J. Theor. Phys. 52, 4218 (2013).
S.K. Tripathy, Astrophys. Space Sci. 350, 367 (2014).
D.C. Rodrigues, Phys. Rev. D 77, 023534 (2008).
M. Sharif, H.R. Kausar, Phys. Lett. B 697, 1 (2011).
G. Mohanty, K.L. Mahanta, Int. J. Theor. Phys. 47, 2430 (2008).
Elisabete M. de Gouveia Dal Pino, AIP Conf. Proc. 875, 289 (2006).
D. Grasso, H.R. Rubinstein, Phys. Rep. 348, 163 (2001).
M. Giovannini, Int. J. Mod. Phys. D 13, 391 (2004).
M. Giovannini, Lect. Notes Phys. 737, 863 (2008).
A.A. Andrianov, F. Cannata, A.Y. Kamenshchik, D. Regoli, JCAP 10, 019 (2008) arXiv:0806.1844 [hep-th].
A. Vilenkin, Phys. Rev. D 24, 2082 (1981).
A. Vilenkin, in: Three Hundred Years of Gravitation, edited by S.W. Hawking, W. Israel, (Cambridge University Press, Cambridge, 1987) p. 499.
A.A. Fraisse, C. Ringeval, D.N. Spergel, F.R. Bouchet, Phys. Rev. D 78, 043535 (2008).
G.A. Barber, Gen. Relativ. Gravit. 14, 117 (1982).
C. Brans, R.H. Dicke, Phys. Rev. 124, 925 (1961).
G.A. Barber, Astrophys. Space Sci. 305, 169 (2006).
C. Brans, Gen. Relativ. Gravit. 19, 949 (1987).
G.A. Barber, arXiv:1009.5862 [physics.gen-ph] (2010).
A. Pradhan, A.K. Vishwakarma, Int. J. Mod. Phys. D 11, 1195 (2002).
C.P. Singh, Mod. Phys. Lett. A 27, 1250070 (2012).
S.D. Katore, A.Y. Saikh, Int. J. Mod. Phys. A 26, 1651 (2011).
J.A. Belinchon, Astrophys. Space Sci. 346, 237 (2013).
J.M. Ramirez, J. Socorro, Int. J. Theor. Phys. 52, 2867 (2013).
Planck Collaboration (P.A.R. Ade et al.), Astron. Astrophy. 571, A25 (2014).
S.K. Tripathy, D. Behera, B. Mishra, arXiv:1410.3156 [physics. gen-ph].
D. Rapetti, S.W. Allen, M.A. Amin, R.D. Blanford, Mon. Not. R. Astron. Soc. 375, 1510 (2007) arXiv: astro-ph 0605683.
R. Giostri et al., JCAP 03, 027 (2012) arXiv: astro-ph 1203.3213.
T. Takabayasi, Prog. Theor. Phys. 51, 262 (1974).
T. Takabayasi, Prog. Theor. Phys. 52, 1910 (1974).
T. Ruggeri, A. Strumia, Prog. Theor. Phys. 59, 2121 (1978).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Tripathy, S.K., Mahanta, K.L. Cosmic acceleration and anisotropic models with magnetic field. Eur. Phys. J. Plus 130, 30 (2015). https://doi.org/10.1140/epjp/i2015-15030-8
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1140/epjp/i2015-15030-8