Bianchi type-I cosmological model for perfect fluid distribution in Lyra geometry. (English) Zbl 1153.85310

Bali, Raj; Chandnani, Naresh Kumar

J. Math. Phys. 49, No. 3, 032502, 8 p. (2008).

Summary: In this paper, we have investigated Bianchi type-I cosmological model with time dependent gauge function \(\beta\) for perfect fluid distribution within the framework of Lyra geometry. To get the deterministic model of the universe, we have assumed that eigenvalue \((\sigma^1_1)\) of shear tensor \((\sigma^j_i)\) is proportional to the expansion \((\theta)\). This leads to \(A=(BC)^n\), where \(A,B,C\) are metric potentials. The physical and geometrical aspects of the model and singularities in the model are also discussed.

MSC:

83C15	Exact solutions to problems in general relativity and gravitational theory
83F05	Relativistic cosmology
85A40	Astrophysical cosmology

References:

[1]	Raychaudhary A. K., Theoretical Cosmology (1979)
[2]	DOI: 10.1103/PhysRevLett.18.557
[3]	DOI: 10.1063/1.1664720
[4]	DOI: 10.1080/00018736300101283
[5]	DOI: 10.1007/BF01175135 · Zbl 0042.15902
[6]	DOI: 10.1007/BF01333146
[7]	DOI: 10.1063/1.1665623 · Zbl 0211.24804
[8]	DOI: 10.1071/PH700863
[9]	DOI: 10.1007/BF00759100
[10]	DOI: 10.1093/mnras/108.5.372 · Zbl 0031.38304
[11]	DOI: 10.1098/rspa.1963.0072 · Zbl 0116.44601
[12]	DOI: 10.1063/1.529495 · Zbl 0736.76084
[13]	Chakraborty S., Int. J. Mod. Phys. D 9 pp 543– (2000)
[14]	DOI: 10.1142/S0218271801001232 · Zbl 1155.83360
[15]	DOI: 10.1142/S0218271803003104
[16]	Thorne K. S., Astrophys. Space Sci. 148 pp 51– (1967)
[17]	DOI: 10.1063/1.1704952
[18]	DOI: 10.1086/148522
[19]	DOI: 10.1007/BF00763057 · Zbl 0453.53046
[20]	G. F. R. Ellis, in General Relativity and Cosmology, edited by R. K. Sachs (Academic, New York, 1971), p. 117.
[21]	DOI: 10.1007/BF01646733