Abstract
Bianchi Type-I cosmological models containing perfect fluid with time varying G and Λ have been presented. The solutions obtained represent an expansion scalar θ bearing a constant ratio to the anisotropy in the direction of space-like unit vector λ i. Of the two models obtained, one has negative vacuum energy density, which decays numerically. In this model, we obtain Λ ∼ H 2, Λ ∼ R 44/R and Λ ∼ T −2 (T is the cosmic time) which is in accordance with the main dynamical laws for the decay of Λ. The second model reduces to a static solution with repulsive gravity.
Similar content being viewed by others
References
A G Riess et al, Astron. J. 116, 1099 (1998)
S Perlmutter et al, Astrophys. J. 517, 565 (1999)
S Perlmutter et al, Nature (London) 391, 51 (1998)
J P Ostriker and P J Steinhardt, Nature (London) 377, 600 (1995)
S Weinberg, Rev. Mod. Phys. 61, 1 (1989)
S Weinberg, astro-ph/0005265
M Gasperini, Class Quantum Gravit. 5, 521 (1988)
M Ozer and M O Taha, Nucl. Phys. B287, 776 (1987)
K Freese et al, Nucl. Phys. B287, 797 (1987)
J A Frieman et al, Phys. Rev. Lett. 75, 2077 (1995)
K Coble, S Dodelson and J A Frieman, Phys. Rev. D55, 1851 (1997)
P A M Dirac, Proc. R. Soc. London A165, 199 (1938)
A-M M Abdel-Rahman, Nuovo Cimento B102, 225 (1988)
A-M M Abdel-Rahman, Phys. Rev. D45, 3497 (1992)
J D Barrow, Phys. Lett. B180, 335 (1986)
J D Barrow and P Parsons, Phys. Rev. D55, 1906 (1997)
A Beesham, Gen. Relativ. Gravit. 26, 159 (1994)
M S Berman, Phys. Rev. D43, 1075 (1991)
J C Carvalho, J A S Lima and I Waga, Phys. Rev. D46, 2404 (1992)
W Chen and Y S Wu, Phys. Rev. D41, 695 (1990)
D Kalligas, P S Wesson and C W F Everitt, Gen. Relativ. Gravit. 24, 351 (1992)
D Kalligas, P S Wesson and C W F Everitt, Gen. Relativ. Gravit. 27, 645 (1995)
Y K Lau, Aust. J. Phys. 38, 547 (1985)
Y K Lau and S J Prokhovnik, Aust. J. Phys. 39, 339 (1986)
J A S Lima and M Trodden, Phys. Rev. D53, 4280 (1996)
J A S Lima and J M F Maia, Phys. Rev. D49, 5597 (1994)
Bijan Saha, Int. J. Theor. Phys. 45, 983 (2006)
Bijan Saha, Astrophys. Space Sci. 302, 83 (2006)
A Pradhan and P Pandey, Astrophys. Space Sci. 301, 221 (2006)
A Pradhan and S K Singh, Int. J. Mod. Phys. D13, 503 (2004)
O Bertolami, Nuovo Cimento B93, 36 (1986)
C W Misner, Ap. J. 151, 431 (1968)
W Huang, J. Math. Phys. 31, 1456 (1990)
L P Chimento et al, Class. Quantum Gravit. 14, 3363 (1997)
S R Roy, S Narain and J P Singh, Aust. J. Phys. 38, 239 (1985)
R G Vishwakarma, Gen. Relativ. Gravit. 37, 1305 (2005)
L M Salim and I Waga, Class. Quantum Gravit. 10, 1767 (1993)
A I Arbab and A-M M Abdel-Rahman, Phys. Rev. D50, 7725 (1994)
C Wetterich, Astron. Astrophys. 301, 321 (1995)
A I Arbab, Gen. Relativ. Gravit. 29, 61 (1994)
R G Vishwakarma, Class. Quantum Gravit. 18, 1159 (2001)
M S Berman and M M Som, Int. J. Theor. Phys. 29, 1411 (1990)
A I Arbab, Class. Quantum Gravit. 20, 93 (2003)
M S Berman, Int. J. Theor. Phys. 29, 571 (1990)
B M S Hansen et al, Astrophys. J. 574, L155 (2002)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Singh, J.P., Tiwari, R.K. Perfect fluid bianchi Type-I cosmological models with time varying G and Λ. Pramana - J Phys 70, 565–574 (2008). https://doi.org/10.1007/s12043-008-0019-y
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s12043-008-0019-y