Characterization of perfect fluid spacetimes admitting gradient η-Ricci and gradient Einstein solitons

2021 ◽  
Vol 162 ◽  
pp. 104069
Author(s):  
Sudhakar K. Chaubey
Keyword(s):  
Perfect Fluid ◽  
Fluid Spacetimes

Perfect fluid spacetimes and Yamabe solitons

2021 ◽  
Vol 62 (3) ◽  
pp. 032501
Author(s):  
U. C. De ◽  
S. K. Chaubey ◽  
S. Shenawy
Keyword(s):  
Perfect Fluid ◽  
Yamabe Solitons ◽  
Fluid Spacetimes

Projective symmetry in perfect fluid spacetimes

2002 ◽  
Vol 19 (8) ◽  
pp. 2319-2322 ◽  
Author(s):  
G S Hall ◽  
M T Patel
Keyword(s):  
Perfect Fluid ◽  
Fluid Spacetimes

scholarly journals Perfect fluid spacetimes with two symmetries

2004 ◽  
Vol 21 (7) ◽  
pp. 1755-1759 ◽  
Author(s):  
A Szereszewski ◽  
J Tafel
Keyword(s):  
Perfect Fluid ◽  
Fluid Spacetimes

scholarly journals Shear-free conditions of a Chaplygin-gas-dominated universe

2021 ◽  
pp. 2150192
Author(s):  
Amare Abebe ◽  
Mudhahir Al Ajmi ◽  
Maye Elmardi ◽  
Hemwati Nandan ◽  
Noor ul Sabah
Keyword(s):  
General Relativity ◽  
Perfect Fluid ◽  
Chaplygin Gas ◽  
Current Investigation ◽  
Free Condition ◽  
General Relativistic ◽  
Relativistic Framework ◽  
Fluid Spacetimes

In this work, we revisit the shear-free conjecture of general relativity and study the well-known shear-free condition in the context of the Chaplygin-gas cosmology. It had been shown in previous investigations that, in the general relativistic framework, the matter congruences of shear-free perfect fluid spacetimes should be either expansion-free or rotation-free. Our current investigation, however, indicates that a universe dominated by a Chaplygin-gas can allow a simultaneous expansion and rotation of the fluid provided that certain non-trivial conditions, which we derive and describe in what follows, are met. We also show that, in the appropriate limiting cases, our results reduce to the expected results of dust spacetimes which can only expand or rotate, but not both, at the same time.

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