Skip to content
BY-NC-ND 3.0 license Open Access Published by De Gruyter Open Access April 30, 2011

Kantowski-Sachs cosmological models with anisotropic dark energy

  • Kishor Adhav EMAIL logo , Abhijit Bansod , Rajesh Wankhade and Hanumant Ajmire
From the journal Open Physics

Abstract

The exact solutions of the Einstein field equations for dark energy in Kantowski-Sachs metric under the assumption on the anisotropy of the fluid are obtained for exponential and power-law volumetric expansions. The isotropy of the fluid, space and expansion are examined.

[1] A.G. Riess et al., Astron. J. 116, 1009 (1998) http://dx.doi.org/10.1086/30049910.1086/300499Search in Google Scholar

[2] S. Perlmutter et al., Astrophys. J. 517, 565 (1999) http://dx.doi.org/10.1086/30722110.1086/307221Search in Google Scholar

[3] A.G. Riess et al., Astrophys. J. 607, 665 (2004) http://dx.doi.org/10.1086/38361210.1086/383612Search in Google Scholar

[4] P. Astier et al., Astron. Astrophys. 447, 31 (2006) http://dx.doi.org/10.1051/0004-6361:2005418510.1051/0004-6361:20054185Search in Google Scholar

[5] D.N. Spergel et al., arXiv:astro-ph/0603449 Search in Google Scholar

[6] W.M. Wood-Vasey et al., arXiv:astro-ph/0701041 Search in Google Scholar

[7] T.M. Davis et al., arXiv:astro-ph/0701510 Search in Google Scholar

[8] C.L. Bennett et al., Astrophys. J. Suppl. S. 148, 1 (2003) http://dx.doi.org/10.1086/37725310.1086/377253Search in Google Scholar

[9] D.N. Spergel et al. (WMAP Collaboration), Astro-phys. J. Suppl. S. 148, 175 (2003) http://dx.doi.org/10.1086/37722610.1086/377226Search in Google Scholar

[10] M. Tegmark et al. (SDSS Collaboration), Phys. Rev. D. 69, 103501 (2004) http://dx.doi.org/10.1103/PhysRevD.69.10350110.1103/PhysRevD.69.103501Search in Google Scholar

[11] K. Abazajian et al., arXiv:astro-ph/0410239 Search in Google Scholar

[12] K. Abazajian et al. (SDSS Collaboration), Astron. J. 128, 502 (2004) http://dx.doi.org/10.1086/42136510.1086/421365Search in Google Scholar

[13] K. Abazajian et al. (SDSS Collaboration), Astron. J. 126, 2081 (2003) http://dx.doi.org/10.1086/37816510.1086/378165Search in Google Scholar

[14] E. Hawkins et al., Mon. Not. R. Astron. Soc. 346, 78 (2003) http://dx.doi.org/10.1046/j.1365-2966.2003.07063.x10.1046/j.1365-2966.2003.07063.xSearch in Google Scholar

[15] L. Verde et al., Mon. Not. R. Astron. Soc. 335, 432 (2002) http://dx.doi.org/10.1046/j.1365-8711.2002.05620.x10.1046/j.1365-8711.2002.05620.xSearch in Google Scholar

[16] R.R. Caldwell, R. Dave, P.J. Steinhardt, Phys. Rev. Lett. 80, 1582 (1998) http://dx.doi.org/10.1103/PhysRevLett.80.158210.1103/PhysRevLett.80.1582Search in Google Scholar

[17] A.R. Liddle, R.J. Scherrer, Phys. Rev. D 59, 023509 (1999) http://dx.doi.org/10.1103/PhysRevD.59.02350910.1103/PhysRevD.59.023509Search in Google Scholar

[18] P.J. Steinhardt, L.M. Wang, I. Zlatev, Phys. Rev. D 59, 123504 (1999) http://dx.doi.org/10.1103/PhysRevD.59.12350410.1103/PhysRevD.59.123504Search in Google Scholar

[19] G.R. Dvali, G. Gabadadze, M. Porrati, Phys. Lett. B 484, 112 (2000) http://dx.doi.org/10.1016/S0370-2693(00)00631-610.1016/S0370-2693(00)00631-6Search in Google Scholar

[20] C. Deffayet, Phys. Lett. B. 502, 199 (2001) http://dx.doi.org/10.1016/S0370-2693(01)00160-510.1016/S0370-2693(01)00160-5Search in Google Scholar

[21] S. Capozziello, S. Carloni, A. Troisi, arXiv:astro-ph/0303041 Search in Google Scholar

[22] S.M. Carroll et al., Phys. Rev. D 70, 043528 (2003) http://dx.doi.org/10.1103/PhysRevD.70.04352810.1103/PhysRevD.70.043528Search in Google Scholar

[23] S. Nojiri, S.D. Odintsov, Phys. Rev. D 68, 123512 (2003) http://dx.doi.org/10.1103/PhysRevD.68.12351210.1103/PhysRevD.68.123512Search in Google Scholar

[24] P.K. Townsend, N.R. Wohlfarth, Phys. Rev. Lett. 91, 061302 (2003) http://dx.doi.org/10.1103/PhysRevLett.91.06130210.1103/PhysRevLett.91.061302Search in Google Scholar PubMed

[25] G.W. Gibbons, In: F. del Aguila, J.A. de Azcarraga, L.E. Ibanez (Eds.), Supersymmetry, Supergravity and Related Topics (World Scientic, Singapore, 1985) 346 Search in Google Scholar

[26] J.M. Maldacenam C. Nuñez, Int. J. Mod. Phys. A 16, 822 (2001) 10.1142/S0217751X01003937Search in Google Scholar

[27] N. Ohta, Phys. Rev. Lett. 91, 061303 (2003) http://dx.doi.org/10.1103/PhysRevLett.91.06130310.1103/PhysRevLett.91.061303Search in Google Scholar

[28] N.R. Wohlfarth, Phys. Lett. B 563, 1 (2003) http://dx.doi.org/10.1016/S0370-2693(03)00609-910.1016/S0370-2693(03)00609-9Search in Google Scholar

[29] S. Roy, Phys. Lett. B 567, 322 (2003) http://dx.doi.org/10.1016/j.physletb.2003.06.06010.1016/j.physletb.2003.06.060Search in Google Scholar

[30] J.K. Webb et al., Phys. Rev. Lett. 87, 091301 (2001) http://dx.doi.org/10.1103/PhysRevLett.87.09130110.1103/PhysRevLett.87.091301Search in Google Scholar PubMed

[31] J.M. Cline, J. Vinet, Phys. Rev. D 68, 025015 (2003) http://dx.doi.org/10.1103/PhysRevD.68.02501510.1103/PhysRevD.68.025015Search in Google Scholar

[32] N. Ohta, Prog. Theor. Phys. 110, 269 (2003) http://dx.doi.org/10.1143/PTP.110.26910.1143/PTP.110.269Search in Google Scholar

[33] N. Ohta, Int. J. Mod. Phys. A 20, 1 (2005) http://dx.doi.org/10.1142/S0217751X0502125710.1142/S0217751X05021257Search in Google Scholar

[34] C.M. Chen et al., J. High Energy Phys. 10, 058 (2003) http://dx.doi.org/10.1088/1126-6708/2003/10/05810.1088/1126-6708/2003/10/058Search in Google Scholar

[35] E. Bergshoeff, Classical Quant. Grav. 21, 1947 (2004) http://dx.doi.org/10.1088/0264-9381/21/8/00310.1088/0264-9381/21/8/003Search in Google Scholar

[36] Y. Gong, A. Wang, Classical Quant. Grav. 23, 3419 (2006) http://dx.doi.org/10.1088/0264-9381/23/10/01210.1088/0264-9381/23/10/012Search in Google Scholar

[37] I.P. Neupane, D.L. Wiltshire, Phys. Lett. B 619, 201 (2005) http://dx.doi.org/10.1016/j.physletb.2005.06.00810.1016/j.physletb.2005.06.008Search in Google Scholar

[38] I.P. Neupane, D.L. Wiltshire, Phys. Rev. D 72, 083509 (2005) http://dx.doi.org/10.1103/PhysRevD.72.08350910.1103/PhysRevD.72.083509Search in Google Scholar

[39] K. Maeda, N. Ohta, Phys. Rev. D 71, 063520 (2005) http://dx.doi.org/10.1103/PhysRevD.71.06352010.1103/PhysRevD.71.063520Search in Google Scholar

[40] I.P. Neupane, Phys. Rev. Lett. 98, 061301 (2007) http://dx.doi.org/10.1103/PhysRevLett.98.06130110.1103/PhysRevLett.98.061301Search in Google Scholar PubMed

[41] Y. Gong, A. Wang, Q. Wu, arXiv:gr-qc/0711.1597 Search in Google Scholar

[42] P.R.C.T. Pereira, M.F.A. da Silva, R. Chan, Int. J. Mod. Phys. D 15, 991 (2006) http://dx.doi.org/10.1142/S021827180600883810.1142/S0218271806008838Search in Google Scholar

[43] C. Brandt, R. Chan, M. da Silva, J.F. Villas, Gen. Relat. Gravit. 39, 1675 (2007) http://dx.doi.org/10.1007/s10714-007-0477-410.1007/s10714-007-0477-4Search in Google Scholar

[44] E.J. Copeland, M. Sami, S. Tsujikawa, Int. J. Mod. Phys. D 15, 1753 (2006) http://dx.doi.org/10.1142/S021827180600942X10.1142/S021827180600942XSearch in Google Scholar

[45] T. Padmanabhan, arXiv:gr-qc/0705.2533 art. P. 06, 018 66) Search in Google Scholar

[46] T. Koivisto, D.F. Mota, J. Cosmol. Astropar (2008) 10.1088/1475-7516/2008/08/021Search in Google Scholar

[47] C.B. Collins, J. Math. Phys. 18, 2116 (1966) http://dx.doi.org/10.1063/1.52319110.1063/1.523191Search in Google Scholar

[48] E. Weber, J. Math. Phys. 25, 3279 (1984) http://dx.doi.org/10.1063/1.52607610.1063/1.526076Search in Google Scholar

[49] A. Pradhan, V.K. Yadav, Int. J. Mod. Phys. D 11, 893 (2002) http://dx.doi.org/10.1142/S021827180200205010.1142/S0218271802002050Search in Google Scholar

[50] R. Kantowski, R.K. Sach, J. Math. Phys. 7, 443 (1966) http://dx.doi.org/10.1063/1.170495210.1063/1.1704952Search in Google Scholar

[51] S. Kumar, C.P. Singh, Astrophys. Space. Sci. 312, 57 (2007) http://dx.doi.org/10.1007/s10509-007-9623-410.1007/s10509-007-9623-4Search in Google Scholar

[52] C.P. Singh et al., Astrophys. Space. Sci. 315, 181 (2008) http://dx.doi.org/10.1007/s10509-008-9811-x10.1007/s10509-008-9811-xSearch in Google Scholar

[53] J.P. Singh, P.S. Baghel, Int. J. Theor. Phys. 48, 449 (2009) http://dx.doi.org/10.1007/s10773-008-9820-010.1007/s10773-008-9820-0Search in Google Scholar

[54] O. Akarsu, C.B. Kilinc, Gen. Relat. Gravit. 42, 763 (2010) http://dx.doi.org/10.1007/s10714-009-0878-710.1007/s10714-009-0878-7Search in Google Scholar

Published Online: 2011-4-30
Published in Print: 2011-8-1

© 2011 Versita Warsaw

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Downloaded on 6.6.2023 from https://www.degruyter.com/document/doi/10.2478/s11534-011-0021-8/html
Scroll to top button