Bianchi Type- III and Kantowski-Sachs Universes with wet Dark Fluid

Raghavendra Chaubey

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DOI: 10.4236/ijaa.2011.12005                

Abstract

The Bianchi type- III and Kantowski-Sachs (KS) Universes filled with dark energy from a wet dark fluid has been considered. A new equation of state for the dark energy component of the universe has been used. It is modeled on the equation of state ρ=γ(ρ -ρ _*) , which can describe a liquid, for example water. The exact solutions to the corresponding field equations are obtained in quadrature form. The solution for constant deceleration parameter have been studied in detail for power-law and exponential forms both. The case γ = 0,γ =1,and γ =1/3have been also analysed.

Keywords

Cosmological Universe, Cosmological Parameters, Wet Dark Fluid

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1]	A. G. Riess, et al., “Observational Evidence from Supernovae for an Accelerating Universe and Cosmological Constant,” The Astronomical Journal, Vol. 116, No. 3, 1998, p. 1009. doi:10.1086/300499
[2]	S. Perlmutter, et al., “Measurements of ? and from 42 High-Redshift Supernovae,” The Astronomical Journal, Vol. 517, No. 2, 1999, p. 565. doi:10.1086/307221
[3]	V. Sahni, “Dark Matter and Dark Energy,” Cornell University Library, Ithaca, 2004.
[4]	B. Ratra and P. J. E. Peebles, “Cosmological Consequences of a Rolling Homogeneous Scalar Field,” Physical Review D, Vol. 37, No. 12, 1988, pp. 3406-3427. doi:10.1103/PhysRevD.37.3406
[5]	R. R. Caldwell, R. Dave and P. J. Steinhardt, “Cosmological Imprint of an Energy Component with General Equation of State,” Physical Review Letters, Vol. 80, No. 8, 1998, pp. 1582-1585. doi:10.1103/PhysRevLett.80.1582
[6]	T. Barreiro, E. J. Copeland and N. J. Nunes, “Quinte Sence Arinsing from Exponential Potentials,” Physical Review D, Vol. 61, No. 12, 2000, pp. 127301-127305. doi:10.1103/PhysRevD.61.127301
[7]	C. Armendariz-Picon, T. Damour and V. Mukhanov, “K- Inflation,” Physical Letters B, Vol. 458, No. 2-3, 1999, pp. 209-218. doi:10.1016/S0370-2693(99)00603-6
[8]	C. Armendariz-Picon, V. Mukhanov and P. J. Steinhardt, “Essentials of K-Essence,” Physical Review D, Vol. 63, No. 10, 2001, pp. 103510-103523. doi:10.1103/PhysRevD.63.103510
[9]	P. F. Gonzalez-Diaz, “K-Essential Phantom Energy: Doomsday around the Corner?” Physical Letters B, Vol. 586, No. 1-2, 2004, pp. 1-4. doi:10.1016/j.physletb.2003.12.077
[10]	R. R. Caldwell, “A Phantom Menace? Cosmological Consequences of Dark Energy Component with Super Negative Equation of State,” Physical Letters B, Vol. 545, 2002, pp. 23-29. doi:10.1016/S0370-2693(02)02589-3
[11]	S. M. Carroll, M. Hoffman and M. Trodden, “Can the Dark Energy Equation-of-State Parameter be less than –1?” Physical Letters D, Vol. 68, No. 2, 2003, pp. 23509- 23520. doi:10.1103/PhysRevD.68.023509
[12]	E. Elizalde, S. Nojiri and S. D. Odintsov, “Late-Time Cosmology in a (Phantom) scalar-Tensor Theory: Dark Energy and the Cosmic Speed up,” Physical Letters D, Vol. 70, No. 4, 2004, pp. 043539-043559. doi:10.1103/PhysRevD.70.043539
[13]	K. Freese and M. Lewis, “Cardassian Expansion: A Model in which the Universe is Flat, Matter Dominated, and Accelerating,” Physical Letters B, Vol. 540, No. 1-2, 2002, pp. 1-8. doi:10.1016/S0370-2693(02)02122-6
[14]	P. Gondolo and K. Freese, “Fluid Interpretation of Cardassian Expansion,” Physical Letters D, Vol. 68, No. 6, 2003, pp. 063509-063519. doi:10.1103/PhysRevD.68.063509
[15]	C. Deffayet, G. R. Dvali and G. Gabadadze, “Accelerated Universe from Gravity Leaking to Extra Dimensions,” Physical Letters D, Vol. 65, No. 4, 2002, pp. 044023- 044032. doi:10.1103/PhysRevD.65.044023
[16]	G. Dvali, G. Gabadadze and M. Porrati, “4D Gravity on a Brane in 5D Minkowski Space,” Physical Letters B, Vol. 485, No. 1-3, 2000, pp. 208-214. doi:10.1016/S0370-2693(00)00669-9
[17]	G. Dvali and M. S. Turner, “Dark Energy as a Modification of the Friedmann Equation,” Cornell University Library, Ithaca, 2003.
[18]	B. C. Xanthopuolos, “Perfect Fluids Satisfying a less than Extremely Relativistic Equation of State,” Journal of Mathematical Physics, Vol. 28, No. 4, 1987, pp. 905-913. doi:10.1063/1.527581
[19]	V. Gorini, A. Kamenshchik, U. Moschella and V. Pasquier, “The Chaplygin gas as a Model for Dark Energy,” Cornell University Library, Ithaca, 2004.
[20]	P. G. Tait, “The Voyage of H.M.S. Challenger,” H.M.S.O., London, 1888.
[21]	A. T. J. Hayward, “Compressibility Equations for Liquids: A Comparative Study,” British Journal of Applied Physics, Vol. 18, No. 7, 1967, p. 965. doi:10.1088/0508-3443/18/7/312
[22]	T. Chiba, N. Sugiyama and T. Nakamura, “Observational Tests of X-Matter Models,” Monthly Notices of the Royal Astronomical Society, Vol. 301, 1998, pp. 72-80. doi:10.1046/j.1365-8711.1998.02012.x
[23]	R. Holman and S. Naidu, “Dark Energy from Wet dark Fluid,” Cornell University Library, Ithaca, 2005.
[24]	A. Riess, et al., “Type la Supernova Discoveries at Z > 1 from the Hubble Space Telescope: Evidence for Past De- celeration and Constraint on Dark Energy Evolution,” Cornell University Library, Ithaca, 2004.
[25]	C. L. Bennett, et al., “First-Year Wilkinson Microwave Anisotropy Probe (WMAP) Obsevations: Preliminary Maps and Basic Results,” The Astrohysical Journal Su- pplement series, Vol. 148, No. 1, 2003, p. 175. doi:10.1086/345346
[26]	D. N. Spergel, “First-Year Wilkinson Microwave Aniso- tropy Probe (WMAP) Obsevations: Determination of Cosmological Parameters,” The Astrophysical Journal Supplement Series, Vol. 148, No. 1, 2003, p. 175. doi:10.1086/377226
[27]	M. Tegmark, A. J. S. Hamilton and Y. Z. Xu, “The Power Spectrum of Galaxies in the 2dF 100k Redshift Survey,” Monthly Notices of the Royal Astronomical Society, Vol. 335, No. 4, 2002, pp. 887-908. doi:10.1046/j.1365-8711.2002.05622.x
[28]	E. Babichev, V. Dokuchaev and Y. Eroshenkos, “Dark Energy Cosmology with Generalized Linear Equation of State,” Cornell University Library, Ithaca, 2004.
[29]	T. Singh and R. Chaubey, “Bianchi Type-I Universe with Wet Dark Fluid,” Pramana Journal of Physics, Vol. 71, 2008, pp. 447-458.
[30]	R. Chaubey, “Bianchi Type-V Universe with Wet Dark Fluid,” Astrophysics and Space Science, Vol. 321, No. 3-4, 2009, pp. 241-246. doi:10.1007/s10509-009-0027-5
[31]	T. Singh and R. Chaubey, “Bianchi Type-V Cos- molo- gical Models with a Viscous Fluid and Term,” Pramana Journal of Physics, Vol. 68, 2007, pp. 721-734.
[32]	T. Singh and R. Chaubey, “Bianchi Type–V and VIo Universes with Dilaton and Magnetic Fields,” Inter- national Journal of Modelling Physics D, Vol. 15, 2006, p. 111.