Abstract
In this paper we have studied the Kantowski- Sachs cosmological model with the quark and strange quark matter in the f (R) theory of gravity. The general solutions of the field equations are obtained by assuming the physical condition shear scalar σ is proportional to scalar expansion θ, which leads to the relation B = An between metric coefficients B and A. The physical and geometrical aspects of the model are also discussed.
References
[1] A.G. Riess et al., Astron. J. 116, 1009 (1998) Search in Google Scholar
[2] S. Perlmutter et al., Astrophys. J. 517, 565 (1999) Search in Google Scholar
[3] P. de Bernardis et al., Nature 404, 955 (2000) Search in Google Scholar
[4] S. Hanany et al., Astrophys. J. 545, L5 (2000) 10.1086/317322Search in Google Scholar
[5] P.J.E. Peebles, B. Ratra, Rev. Mod. Phys. 75, 559 (2003) 10.1103/RevModPhys.75.559Search in Google Scholar
[6] T. Padmanabhan, Phys. Rept. 380, 235 (2003) 10.1016/S0370-1573(03)00120-0Search in Google Scholar
[7] S.M. Carroll et al., Phys. Rev. D 70, 043528 (2004) 10.1103/PhysRevD.70.123525Search in Google Scholar
[8] S. Capozziello, V. Faraoni, Beyond Einstein Gravity (Springer, New York, 2010) 10.1007/978-94-007-0165-6_3Search in Google Scholar
[9] A. Elizalde et al., Phys. Rev. D 83, 086006 (2011) 10.1103/PhysRevD.83.105023Search in Google Scholar
[10] M.K. Mak, T. Harko, Int. J. Mod. Phys. D 13, 149 (2004) 10.1142/S0218271804004451Search in Google Scholar
[11] I. Yavuz et al., Int. J. Mod. Phys. D 14, 1365 (2005) 10.1142/S0218271805007061Search in Google Scholar
[12] K.S. Adhav et al., Int. J. Theor. Phys. 47, 2002 (2008) 10.1007/s10773-007-9644-3Search in Google Scholar
[13] K.S. Adhav et al., Astrophys. Space Sci. 319, 81 (2009) 10.1007/s10509-008-9941-1Search in Google Scholar
[14] S.D. Katore, Int. J. Theor. Phys. 51, 83 (2012) 10.1007/s10773-011-0880-1Search in Google Scholar
[15] I. Yilmaz et al., Gen. Relat. Gravit. 44, 2313 (2012) Search in Google Scholar
[16] K.S. Adhav, Can. J. Phys. 90, 119 (2012) 10.1139/p11-148Search in Google Scholar
[17] P.K. Sahoo, B. Mishra, IJPAM 82, 87 (2013) Search in Google Scholar
[18] R. Kantowaski, R.K. Sachs, J. Math. Phys. 7, 433 (1966) Search in Google Scholar
[19] M. Sharif, M.F. Shamir, Class. QuantumGrav. 26, 235020 (2009) 10.1088/0264-9381/26/23/235020Search in Google Scholar
[20] M. Sharif, M.F. Shamir, Gen. Relat. Grav. 42, 2643 (2010) 10.1007/s10714-010-1005-5Search in Google Scholar
[21] J. Adams et al. (STAR Collaboration), Nucl. Phys. A 757, 102 (2005) Search in Google Scholar
[22] K. Adcox et al. (PHENIX Collaboration), Nucl. Phys. A 757, 184 (2005) Search in Google Scholar
[23] B.B. Back et al. (PHOBOS Collaboration), Nucl. Phys. A 757, 28 (2005) Search in Google Scholar
[24] C. Aktas et al., Gen. Relat. Gravit. 43, 1577 (2011) 10.1007/s10714-011-1154-1Search in Google Scholar
[25] R. Sharma et al., IJMPD 15, 405 (2006) 10.1142/S0218271806008012Search in Google Scholar
[26] R. Sharma et al., MNRAS, 375, 1265 (2007) 10.1111/j.1365-2966.2006.11355.xSearch in Google Scholar
[27] J. Kristian, R.K. Sachs, Astrophys. J. 143, 379 (1966) 10.1086/148522Search in Google Scholar
[28] K.S. Thorne, Astrophys. J. 148, 51 (1967) 10.1086/149127Search in Google Scholar
[29] C.B. Collins, E.N. Glass, D.A. Wilkinson, Gen. Relat. Gravit. 12, 805 (1980) 10.1007/BF00763057Search in Google Scholar
[30] A.K. Banerjee, N.O. Santos, Gen. Relat. Gravit. 16, 217 (1984) 10.1007/BF00762537Search in Google Scholar
[31] X.X. Wang, Chin. Phys. Lett. 22, 29 (2005) 10.1097/01.CNJ.0000262308.99899.e0Search in Google Scholar PubMed
[32] A. Pradhan, Fizika B 16, 205 (2007) 10.1007/BF03370641Search in Google Scholar
[33] A. Pradhan, A.K. Yadav, R.R. Singh, V.K. Singh, Astrophys. Space Sci. 312, 3 (2007) 10.1007/s10509-007-9665-7Search in Google Scholar
[34] A. Pradhan, A.K. Jotani, A. Singh, Braz. J. Phys. 38, 167 (2008) 10.1590/S0103-97332008000100029Search in Google Scholar
[35] M.F. Shamir, Gen. Relat. Grav. 42, 1557 (2010) 10.1007/s10714-009-0927-2Search in Google Scholar
[36] R. Venkateswarlu, J. Satish, K. Pavan Kumar, Elect. J. Theor. Phys. 8, 353 (2011) Search in Google Scholar
[37] M. Sharif, S. Waheed, Eur. Phys. J. C 72, 1876 (2012) 10.1140/epjc/s10052-012-1876-6Search in Google Scholar
[38] D.R.K. Reddy, Ch. Purnachandra Rao, T. Vidyasagar, R. Bhuvana, Adv. High Energy Phys. 2013, 609807 (2013) 10.1155/2013/609807Search in Google Scholar
[39] V.B. Johri, K. Desikan, Gen. Relat. Grav. 26, 1217 (1994) 10.1007/BF02106714Search in Google Scholar
[40] K. Uddin et al., Class. Quantum Grav. 24, 3951 (2007) 10.1088/0264-9381/24/15/012Search in Google Scholar
[41] S. Perlmutter et al., Nature (London) 319, 51 (1998) 10.1016/S0294-3506(98)80207-XSearch in Google Scholar
[42] R.K. Knop et al., Astrophys. J. 598, 102 (2003)Search in Google Scholar
© 2015 Kishor S. Adhav et al.
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.