Static space‐time in general scalar tensor theory

1984 ◽  
Vol 25 (11) ◽  
pp. 3299-3302 ◽  
Author(s):  
N. Banerjee ◽  
S. B. Dutta Choudhury ◽  
A. Banerjee
1984 ◽  
Vol 102 (2) ◽  
pp. 223-228
Author(s):  
Tarkeshwar Singh ◽  
T. Singh

1980 ◽  
Vol 21 (12) ◽  
pp. 2799-2801 ◽  
Author(s):  
A. Banerjee ◽  
S. B. Duttachoudhury

2004 ◽  
Vol 13 (06) ◽  
pp. 1073-1083
Author(s):  
ASIT BANERJEE ◽  
UJJAL DEBNATH ◽  
SUBENOY CHAKRABORTY

The generalized Szekeres family of solution for quasi-spherical space–time of higher dimensions are obtained in the scalar tensor theory of gravitation. Brans–Dicke field equations expressed in Dicke's revised units are exhaustively solved for all the subfamilies of the said family. A particular group of solutions may also be interpreted as due to the presence of the so-called C-field of Hoyle and Narlikar and for a chosen sign of the coupling parameter. The models show either expansion from a big bang type of singularity or a collapse with the turning point at a lower bound. There is one particular case which starts from the big bang, reaches a maximum and collapses with the in course of time to a crunch.


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