Bianchi Type I Bulk Viscous Barotropic Fluid Cosmological Model with Varying Λ and Functional Relation on Hubble Parameter in Self-Creation Theory of Gravitation
American Journal of Modern Physics
Volume 2, Issue 5, September 2013, Pages: 264-269
Received: Jul. 28, 2013;
Published: Aug. 30, 2013
Views 4029 Downloads 240
Mukunda Sudam Borkar, P. G. Department of Mathematics, Mahatma Jyotiba Phule Educational Campus, Amravati Road, R T M Nagpur University, Nagpur, India
Nilesh Kawaduji Ashtankar, J.D. College of Engineering, At: Khandala, Post: Valni, Katol Road, Nagpur- 441 501 (India)
We have investigated Bianchi type I bulk viscous barotropic fluid cosmological model with varying Λ and functional relation on Hubble parameter in self-creation theory of gravitation. It is observed that the scalar function ϕ(t) affected the physical parameters of the universe and our model may have more than three spatial-dimensions in the beginning which is a theoretical evidence pointed out in the geometry of universe. The propose variation law for Hubble parameter leads cosmological model which is dominated by decelerating phase at initial stage and at later stage, the universe has accelerating phase and the universe expanding exponentially with acceleration supporting the observational data. Also other geometrical and physical properties of the model have been evaluated.
Mukunda Sudam Borkar,
Nilesh Kawaduji Ashtankar,
Bianchi Type I Bulk Viscous Barotropic Fluid Cosmological Model with Varying Λ and Functional Relation on Hubble Parameter in Self-Creation Theory of Gravitation, American Journal of Modern Physics.
Vol. 2, No. 5,
2013, pp. 264-269.
G. A. Barber, On two "Self-Creation Cosmology", Gen. Rel. Grav., vol. 14, pp. 117- 136, (1982).
L. O. Pimentel, "Exact self-creation cosmological solutions", Astrophys. Space Sci.,vol. 116, pp. 395-399, (1985).
H. H. Soleng, "Self-creation cosmological solutions", Astrophys. Space Sci., Vol. 139, pp. 13-19, (1987).
D. R. K. Reddy and R. Venkateswarlu, "Bianchi type-VI0 models in self-creation Cosmology", Astrophys. Space Sci., vol. 155, pp. 135-139, (1989).
R. Venkateswarlu and D. R. K. Reddy, "Bianchi type-I models in self -creation theory of gravitation", Astrophys. Space Sci., vol. 168, pp. 193-199, (1990).
K. Shanti and V. U. M. Rao, "Bianchi type-II and III models in self- Creation cosmology", Astrophys Space Sci., vol. 179, pp. 147-153 (1991).
V. U. M. Rao and Y. V. S. S. Sanyasiraju, "Exact Bianchi-type VIII and IX models in the presence of zero-mass scalar fields", Astrophys. Space Sci., vol. 187, pp. 113-117, (1992).
S. Ram and C. P. Singh, "Early universe in self-creation cosmology", Astrophys. Space Sci., vol. 257, pp. 123-129 (1997).
A. Pradhan and H. R. Pandey, "Bulk viscous cosmological models in Barber’s second self- creation theory", Indian J. Pure Appl. Math., vol. 35, pp. 513-523, (2004).
U. K. Panigrahi and R. C. Sahu, "Plane symmetric cosmological micro model in modified theory of Einstein’s general relativity", Theoret. Appl. Mech., vol. 30, pp. 163-175, (2003).
D. R. K. Reddy, "Plane symmetric string cosmological models in self-creation theory of gravitation", Astrophys Space Sci., vol. 305, pp. 139-141, (2006).
D. R. K. Reddy et al., "Axially symmetric cosmic strings in a scalar-tensor theory", Astrophys space sci., vol. 306, pp. 185-188, (2006).
R. Venkateswarlu et al.: String cosmological solutions in self-creation theory of gravitation, Int.J.Theor.Phys., vol. 47, pp. 640-648, (2008).
V. U. M. Rao et al., "Exact Bianchi type II, VIII and IX string cosmological models in Saez- Ballester theory of gravitation", Astrophys Space Sci., vol. 314, pp. 73-77, (2008).
V. U. M. Rao and T. Vinutha, "Plane symmetric string cosmological models in self-creation theory of gravitation", Astrophys Space Sci., vol. 325, pp. 59-62, (2010).
G. S. Rathore and K. Mandawat, "Five dimensional perfect fluid cosmological models in Barber’s second self-creation theory", Adv. Studies Theor. Phys., vol. 4, pp. 213-224, (2010).
S. D. Katore et al., "Bianchi type-III cosmic strings and domain walls cosmological models in self-creation cosmology", Prespacetime Journal, vol. 2, pp. 447-461, (2011).
Borkar M. S. and Ashtankar N. K., "Plane symmetric viscous fluid cosmological model with varying Λ-term in self creation theory of gravitation", Tensor N. S., vol. 73, pp. 228, (2013).
Perlmutter, S., et al., "Discovery of supernova explosion at half the age of the Universe", Nature, vol. 391, pp. 51-54, (1998).
Knop, R. A., et al., Astrophys. J. vol. 598, pp. 102 (2003)
Tegmark, M., et al., Phys. Rev. D 69, pp. 103-501 (2004)
Spergel, D. N., et al., WMAP three years results: implication for cosmology, Preprint astro-ph/0603449, (2006).