scholarly journals Comment on the two ‘‘new’’ classes of Bianchi type II solutions

1987 ◽  
Vol 28 (6) ◽  
pp. 1382-1382 ◽  
Author(s):  
Dieter Lorenz‐Petzold
Keyword(s):  
Bianchi Type ◽  
Type Ii

Ricci inheritance collineations in Bianchi type II spacetime

2016 ◽  
Vol 31 (17) ◽  
pp. 1650102 ◽  
Author(s):  
Tahir Hussain ◽  
Sumaira Saleem Akhtar ◽  
Ashfaque H. Bokhari ◽  
Suhail Khan
Keyword(s):  
Lie Algebra ◽  
Ricci Tensor ◽  
Bianchi Type ◽  
Complete Classification ◽  
Type Ii

In this paper, we present a complete classification of Bianchi type II spacetime according to Ricci inheritance collineations (RICs). The RICs are classified considering cases when the Ricci tensor is both degenerate as well as non-degenerate. In case of non-degenerate Ricci tensor, it is found that Bianchi type II spacetime admits 4-, 5-, 6- or 7-dimensional Lie algebra of RICs. In the case when the Ricci tensor is degenerate, majority cases give rise to infinitely many RICs, while remaining cases admit finite RICs given by 4, 5 or 6.

scholarly journals Bianchi Type- II Universe with Anisotropic Dark Energy in Lyra Geometry

2017 ◽  
Vol 2 (4) ◽  
pp. 231-237
Author(s):  
R. K. Dubey ◽  
◽  
Shri Ram ◽  
Neelam Yadav ◽  
Vipendra Dwivedi ◽  
...  
Keyword(s):  
Dark Energy ◽  
Bianchi Type ◽  
Lyra Geometry ◽  
Type Ii ◽  
Anisotropic Dark Energy

scholarly journals Bianchi Type-II, VIII & IX Perfect Fluid Cosmological Models in Brans Dicke Theory of Gravitation

2011 ◽  
Vol 02 (10) ◽  
pp. 1222-1228 ◽  
Author(s):  
Velagapudi Uma Maheswara Rao ◽  
Mandangi Vijaya Santhi
Keyword(s):  
Perfect Fluid ◽  
Bianchi Type ◽  
Cosmological Models ◽  
Type Ii ◽  
Theory Of Gravitation

Anisotropic Bianchi type-II modified holographic Ricci dark energy model in scale-covariant theory of gravitation

2021 ◽  
Author(s):  
Shri Ram ◽  
S. Chandel ◽  
M.K. Verma
Keyword(s):  
Dark Energy ◽  
Bianchi Type ◽  
Covariant Theory ◽  
Type Ii ◽  
Field Equations ◽  
Ricci Dark Energy ◽  
Scale Covariant Theory ◽  
Cosmological Observations ◽  
Negative Constant ◽  
Theory Of Gravitation

In this paper, we obtain an anisotropic Bianchi type-II space-time with dark matter and the modified holographic Ricci dark energy in the scale-covariant theory of gravitation. Exact solutions of the field equations are obtained by assuming (I) a negative constant value of the deceleration parameter (II) the component σ<sup>1</sup><sub>1</sub> of the shear tensor σ<sup>j</sup><sub>i</sub> is proportional to the mean Hubble parameter and (III) the gauge function Φ is proportional to a power function of the average scale factor. We have also discussed some important physical aspects of the model which is in agreement with the modern cosmological observations.

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