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ISRN Mathematical Physics

Volume 2012 (2012), Article ID 704612, 11 pages

http://dx.doi.org/10.5402/2012/704612

Research Article

## Viscous Bianchi Type I Universe with Stiff Matter and Decaying Vacuum Energy Density

^{1}Department of Mathematics, University of Rajasthan, Jaipur 302004, India^{2}Department of Mathematical Sciences, A. P. S. University, Rewa 486003, India

Received 11 April 2012; Accepted 7 May 2012

Academic Editors: S. C. Lim and M. Rasetti

Copyright © 2012 Raj Bali et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

#### Linked References

- Ya. B. Zel’dovich, “A hypothesis, unifying the structure and the entropy of the Universe,”
*Monthly Notices of the Royal Astronomical Society*, vol. 160, p. 1, 1972. - J. D. Barrow, “Quiescent cosmology,”
*Nature*, vol. 272, pp. 211–215, 1978. View at Publisher · View at Google Scholar - R. Bali and K. Sharma, “Tilted Bianchi Type I stiff fluid magnetized cosmological model in general relativity,”
*Astrophysics and Space Science*, vol. 283, pp. 11–22, 2003. View at Publisher · View at Google Scholar - R. Bali, M. Ali, and V. C. Jain, “Magnetized stiff fluid cylindrically symmetric universe with two degrees of freedom in general relativity,”
*International Journal of Theoretical Physics*, vol. 47, no. 9, pp. 2218–2229, 2008. View at Publisher · View at Google Scholar · View at Zentralblatt MATH - M. K. Mak and T. Harko, “Exact dissipative cosmologies with stiff fluid,”
*Europhysics Letters*, vol. 56, pp. 762–767, 2001. - M. K. Mak and T. Harko, “Full causal dissipative cosmologies with stiff matter,”
*International Journal of Modern Physics D*, vol. 13, pp. 273–280, 2004. - C. Eckart, “The thermodynamics of irreversible processes, III. Relativistic theory of the simple fluid,”
*Physical Review*, vol. 58, pp. 919–924, 1940. - T. Padmanabhan and S. M. Chitre, “Viscous Universe,”
*Physics Letter A*, vol. 120, no. 9, pp. 433–436, 1987. View at Publisher · View at Google Scholar - V. B. Johri and R. Sudarshan, in
*Proceedings of the Proceedings of International Conference on Mathematical Modelling in Science and Technology*, World Scientific, Singapore, 1988. - V. Romano and D Pavón, “Causal dissipative Bianchi cosmology,”
*Physical Review D*, vol. 47, pp. 1396–1403, 1993. - B. Saha, “Bianchi type I universe with viscous fluid,”
*Modern Physics Letters A*, vol. 20, no. 28, pp. 2127–2143, 2005. View at Publisher · View at Google Scholar · View at Zentralblatt MATH - B. Saha, “Nonlinear spinor field in Bianchi type-I cosmology: Inflation, isotropization, and late time acceleration,”
*Physical Review D*, vol. 74, Article ID 124030, p. 1685, 2006. View at Publisher · View at Google Scholar - B. Saha, “Anisotropic cosmological models with spinor field and viscous fluid in the presence of Lambda term: qualitative solutions,”
*Journal of Physics A*, vol. 40, no. 46, pp. 14011–14027, 2007. - C. P. Singh, S. Kumar, and A. Pradhan, “Early viscous universe with variable gravitational and cosmological “ constants”,”
*Classical and Quantum Gravity*, vol. 24, no. 2, pp. 455–474, 2007. View at Publisher · View at Google Scholar · View at Zentralblatt MATH - V. Sahni and A. Starobinsky, “The case for a positive cosmological $\mathrm{\Lambda}$-term,”
*International Journal of Modern Physics D*, vol. 9, no. 4, pp. 373–443, 2000. - P. J. E. Peebles and B. Ratra, “The cosmological constant and dark energy,”
*Reviews of Modern Physics*, vol. 75, no. 2, pp. 559–606, 2003. View at Publisher · View at Google Scholar · View at Zentralblatt MATH - R. Bali and A. Pradhan, “Bianchi type-III string cosmological models with time dependent bulk viscosity,”
*Chinese Physics Letters*, vol. 24, no. 2, pp. 585–588, 2007. - R. Bali and P. Kumawat, “Bulk viscous L.R.S. Bianchi type V tilted stiff fluid cosmological model in general relativity,”
*Physics Letters B*, vol. 665, no. 5, pp. 332–337, 2008. View at Publisher · View at Google Scholar - R. Bali, “Bianchi type V magnetized string dust bulk viscous fluid cosmological model with variable magnetic permeability,”
*International Journal of Theoretical Physics*, vol. 48, no. 2, pp. 476–486, 2009. View at Publisher · View at Google Scholar · View at Zentralblatt MATH - Ya. B. Zel’dovich, “The cosmological constant and the theory of elementary particles,”
*Soviet Physics Uspekhi*, vol. 11, no. 3, article 381, 1968. View at Publisher · View at Google Scholar - J. Dreitlein, “Broken symmetry and the cosmological constant,”
*Physical Review Letters*, vol. 33, pp. 1243–1244, 1974. - L. M. Krauss and M. S. Turner, “The cosmological constant is back,”
*General Relativity and Gravitation*, vol. 27, pp. 1137–1144, 1995. View at Publisher · View at Google Scholar - J. D. Barrow and D. J. Shaw, “The value of the cosmological constant,”
*General Relativity and Gravitation*, vol. 43, no. 10, pp. 2555–2560, 2011. View at Publisher · View at Google Scholar · View at Zentralblatt MATH - A. D. Linde, “Is the Lee constant a cosmological constant?”
*JETP Letters*, vol. 19, p. 183, 1974. - O. Bertolami, “Time-dependence cosmological term,”
*Nuovo Cimento B*, vol. 93, p. 36, 1986. - A. Beesham, “Variable- G cosmology and creation,”
*International Journal of Theoretical Physics*, vol. 25, no. 12, pp. 1295–1298, 1986. View at Publisher · View at Google Scholar - M. S. Berman, “Cosmological models with variable gravitational and cosmological “constants”,”
*General Relativity and Gravitation*, vol. 23, no. 4, pp. 465–469, 1991. View at Publisher · View at Google Scholar · View at Zentralblatt MATH - G. P. Singh and K. Desikan, “A new class of cosmological models in Lyra geometry,”
*Pramana*, vol. 49, no. 2, pp. 205–212, 1997. View at Publisher · View at Google Scholar - Abdussattar and R. G. Vishwakarma, “Some FRW models with variable $G$ and $\mathrm{\Lambda}$,”
*Classical and Quantum Gravity*, vol. 14, no. 4, pp. 945–953, 1997. View at Publisher · View at Google Scholar · View at Zentralblatt MATH - K. A. Bronnikov, A. Dobosz, and I. G. Dymnikova, “Nonsingular vacuum cosmologies with a variable cosmological term,”
*Classical and Quantum Gravity*, vol. 20, no. 16, pp. 3797–3814, 2003. View at Publisher · View at Google Scholar · View at Zentralblatt MATH - R. Bali and J. P. Singh, “Bulk viscous Bianchi type I cosmological models with time-dependent cosmological term $\mathrm{\Lambda}$,”
*International Journal of Theoretical Physics*, vol. 47, no. 12, pp. 3288–3297, 2008. View at Publisher · View at Google Scholar - S. Ram and M. K. Verma, “Bulk viscous fluid hypersurface–homogeneous cosmological models with time varying G and $\mathrm{\Lambda}$,”
*Astrophysics and Space Science*, vol. 330, pp. 151–156, 2010. - J. P. Singh and R. K. Tiwari, “An LRS Bianchi type-I cosmological model with time-dependent $\mathrm{\Lambda}$ term,”
*International Journal of Modern Physics D*, vol. 16, no. 4, pp. 745–754, 2007. View at Publisher · View at Google Scholar · View at Zentralblatt MATH - X. H. Meng and J. Ren, “Cosmology with extended Chaplygin gas media and $w=-1$ crossing,”
*Communications in Theoretical Physics*, vol. 47, no. 2, pp. 379–384, 2007. - R. Schützhold, “Small cosmological constant from the QCD trace anomaly?”
*Physical Review Letters*, vol. 89, Article ID 081302, 2002. - R. Schützhold, “On the cosmological constant and the cosmic coincidence problem,”
*International Journal of Modern Physics A*, vol. 17, p. 4359, 2002. - A. G. Riess, L.-G. Strolger, J. Tonry, et al., “Type Ia supernova discoveries at $z>1$ from the Hubble space telescope: evidence for past deceleration and constraints on dark energy evolution,”
*The Astrophysical Journal*, vol. 607, no. 2, p. 665, 2004. - R. A. Knop, G. Aldering, R. Amanullah, et al., “New constraints on ${\Omega}_{\text{M}}$, ${\Omega}_{\mathrm{\Lambda}}$, and w from an independent set of 11 high-redshift supernovae observed with the Hubble Space Telescope,”
*The Astrophysical Journal*, vol. 598, no. 1, p. 102, 2003. View at Publisher · View at Google Scholar - M. Tegmark, M. A. Strauss, M. R. Blanton, et al., “Cosmological parameters from SDSS and WMAP,”
*Physical Review D*, vol. 69, no. 10, Article ID 103501, 2004.