Abstract
We have studied anisotropic and homogeneous Bianchi type-II cosmological model with linear equation of state (EoS) p = αρ−β, where α and β are constants, in General Relativity. In order to obtain the solutions of the field equations we have assumed the geometrical restriction that expansion scalar θ is proportional to shear scalar σ. The geometrical and physical aspects of the model are also studied.
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References
A. G. Riess et al., Astron. J. 116, 1009 (1998) [astroph/9805201]
S. Perlmutter et al., Astrophys. J. 517, 565 (1999)[astro-ph/9812133]
C. L. Bennett et al., Astrophys. J. Suppl. 148, 1 (2003) [astro-ph/0302207]
D. N. Spergel et al., Astrophys. J. Suppl. 148 (2003) 175 [astro-ph/0302209]
M. Tegmark et al., Phys. Rev. D 69, 103501 (2004) [astro-ph/0310723]
M. Tegmark et al., Astrophys. J. 606, 702 (2004) [astro-ph/0310725]
S. Weinberg, Rev. Mod. Phys. 61 (1989) 1
S. M. Carroll, Living Rev. Rel. 4 (2001) 1 [astroph/0004075]
P. J. E. Peebles, B. Ratra, Rev. Mod. Phys. 75, 559 (2003) [astro-ph/0207347]
T. Padmanabhan, Phys. Rept. 380, 235 (2003) [hepth/0212290]
C. Wetterich, Nucl. Phys. B 302, 668 (1988)
B. Ratra, J. Peebles, Phys. Rev. D 37, 321 (1988)
R. R. Caldwell, Phys. Letts. B 545, 23 (2002)
S. Nojiri, S. D. Odinstov, Phys. Letts. B 562, 147 (2003)
S. Nojiri, S. D. Odinstov, Phys. Letts. B 565, 1 (2003)
T. Chiba, T. Okabe, M. Yamaguchi, Phys. Rev. D62, 023511 (2000)
C. Armendariz-Picon, M. Mukhanov, P. J. Steinhardt, Phys. Rev. Letts. 85, 4438 (2000)
C. Armendariz-Picon, M. Mukhanov, P. J. Steinhardt, Phys. Rev. D 63, 103510 (2001)
A. Sen, J. High Energy Phys. 04, 048 (2002)
T. Padmanabhan, T. R. Chaudhury, Phys. Rev. D 66, 081301 (2002)
E. Elizalde, S. Nojiri, S. D. Odintsov, Phys. Rev. D 70, 043539 (2004)
A. Anisimov, E. Babichev, A. Vikman, J. Cosmol. Astropart. Phys. 06, 006 (2005)
A. Kamenshchik, U. Moschella, V. Pasquier, Phys. Lett. B 511, 265 (2001)
M. C. Bento, O. Bertolami, A. A. Sen, Phys. Rev. D 66, 043507 (2002)
S. Nojiri and S. D. Odintsov, arXiv: 1011.0544
S. M. Carroll, V. Duvvuri, M. Trodden, M. S. Turner, Phys. Rev. D 70, 043528 (2004)
S. Nojiri, S. D. Odintsov, Phys. Letts. B 657, 238 (2007)
S. Nojiri, S. D. Odintsov, Phys. Rev. D 77, 026007 (2008)
S. Nojiri, S. D. Odintsov, arXiv: 1008.4275
G. Cognola, E. Elizalde, S. Nojiri, S. D. Odintsov, L. Sebastiani, S. Zerbini, Phys. Rev. D 77, 046009 (2008)
G. Cognola, E. Elizalde, S. Nojiri, S. D. Odintsov, L. Sebastiani, S. Zerbini, Phys. Rev. D 83, 086006 (2011)
S. Capozziello, V. F. Cardone, A. Troisi, J. Cosmol. Astropart. Phys. 08, 001 (2006)
S. Capozziello, V. F. Cardone, A. Troisi, Mon. Not. R. Astron. Soc. 375, 1423 (2007)
A. Borowiec, W. Godlowski, M. Szydlowski, Int. J. Geom. Methods Mod. Phys. 4, 183 (2007)
C. F. Martins, P. Salucci, Mon. Not. R. Astron. Soc. 381, 1103 (2007)
C. G. Boehmer, T. Harko, F. S. N. Lobo, Astropart. Phys. 29, 386 (2008)
C. G. Boehmer, T. Harko, F. S. N. LoboJ, Cosmol. Astropart. Phys. 03, 024 (2008)
T. P. Sotiriou, V. Faraoni, Rev. Mod. Phys. 82, 451 (2010)
F. S. N. Lobo, arXiv:0807.1640
S. Capozziello, V. Faraoni, Beyond Einstein Gravity (Springer, N.Y., 2010)
T. Harko, F. S. N. Lobo, S. Nojiri, S. D. Odintsov, Phys. Rev. D 84, 024020 (2011)
G. F. R. Ellis, Gen. Relativ. Gravit. 38, 1003–1015 (2006)
G. F. R. Ellis, Modern Cosmology, pp. 138–139. Institute of Physics Publishing, Bristol (2002)
A. K. Banerjee, N. O. Santos, General Relativity and Gravitation 16, 217 (1984)
T. Singh, A. K. Agrawal, Astrophysics and Space Sci. 191, 61 (1992)
T. Singh, A. K. Agrawal, Int. J. Theritical Physics 31, 553 (1992)
I. Yavuz, U. Camci., General Relativity and Gravitation 28, 691 (1996)
E. Babichev, V. Dokuchaev, Yu. Eroshenko, Class. Quaant. Grav. 22, 143 (2005)
Thirukkanesh, Maharaj, Class. Quant. Grav. 25, 235001 (2008)
T. Singh, R. Chaubey, Int. J. Ther. Phys. 51, 90 (2012)
R. Kantowaski, R. K. Sachs, J. Math. Phys. 7, 433 (1966)
J. Kristian, R. K. Sachs, Astrophys. J. 143, 379 (1966)
K. S. Thorne, Astrophysics J. 148, 51 (1967)
C. B. Collins, E. N. Glass, D. A. Wilkinson, General Relativity and Gravitation 12, 805 (1980)
W. Xing-Xiang, Chin. Phys. Lett. 22, 29 (2005)
A. Pradhan, Fizika B 16, 205 (2007)
A. Pradhan, A. K. Yadav, R. R. Singh, V. K. Singh, Astrophys. Space Sci. 312, 3 (2007)
A. Pradhan, A. K. Jotani, A. Singh, Braz. J. Phys. 38, 167 (2008)
R. Venkateswarlu, J. Satish, K. Pavan Kumar, Electronic Journal of Theoretical Physisc 8(25), 353 (2011)
M. Sharif, S. Waheed, Eur. Phys. J. C 72, 1876 (2012)
D. R. K. Reddy, Ch. Purnachandra Rao, T. Vidyasagar, R. Bhuvana, Advances in High Energy Physics, Article ID 609807 (2013)
V. Sahni, T. D. Saini, A. A. Starobinsky, U. Alam, JETP Lett. 77, 201 (2003)
U. Alam, V. Sahni, T. D. Saini, A. A. Starobinsky, Mon. Not. Roy. Ast. Soc. 344, 1057 (2003)
V. Gorini, A. Kamenshchik, U. Moschella, Phys. Rev. D 67, 063509 (2003)
W. Zimdahl, D. Pavon, Gen. Rel. Grav. 36, 1483 (2004)
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Adhav, K.S., Pawade, I.D. & Bansod, A.S. Bianchi type-II universe with linear equation of state. centr.eur.j.phys. 12, 597–602 (2014). https://doi.org/10.2478/s11534-014-0480-9
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DOI: https://doi.org/10.2478/s11534-014-0480-9