Anisotropic string cosmological model in Brans–Dicke theory of gravitation with time-dependent deceleration parameter

2016 ◽  
Vol 123 (4) ◽  
pp. 617-622 ◽  
Author(s):  
D. Ch. Maurya ◽  
R. Zia ◽  
A. Pradhan
Keyword(s):  
Cosmological Model ◽  
Deceleration Parameter ◽  
Time Dependent ◽  
String Cosmological Model ◽  
Theory Of Gravitation

scholarly journals The Large Number Hypothesis and Einstein's Theory of Gravitation

1985 ◽  
Vol 38 (4) ◽  
pp. 547 ◽  
Author(s):  
Yun-Kau Lau
Keyword(s):  
Cosmological Model ◽  
Cosmological Constant ◽  
Matter Density ◽  
Time Dependent ◽  
Field Equations ◽  
Large Number Hypothesis ◽  
Theory Of Gravitation ◽  
The Mean ◽  
Limiting Case ◽  
The Universe

In an attempt to reconcile the large number hypothesis (LNH) with Einstein's theory of gravitation, a tentative generalization of Einstein's field equations with time-dependent cosmological and gravitational constants is proposed. A cosmological model consistent with the LNH is deduced. The coupling formula of the cosmological constant with matter is found, and as a consequence, the time-dependent formulae of the cosmological constant and the mean matter density of the Universe at the present epoch are then found. Einstein's theory of gravitation, whether with a zero or nonzero cosmological constant, becomes a limiting case of the new generalized field equations after the early epoch.

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