Noether symmetries and anisotropic universe in energy-momentum squared gravity

2021 ◽  
Vol 96 (12) ◽  
pp. 125007
Author(s):  
M Sharif ◽  
M Zeeshan Gul
Keyword(s):  
Anisotropic Universe ◽  
Noether Symmetries

Noether symmetries and anisotropic universe models in f(R, T) gravity

2017 ◽  
Vol 32 (26) ◽  
pp. 1750136 ◽  
Author(s):  
M. Sharif ◽  
Iqra Nawazish
Keyword(s):  
Cosmological Parameters ◽  
Graphical Analysis ◽  
Momentum Tensor ◽  
Anisotropic Universe ◽  
Conserved Quantities ◽  
Noether Symmetries ◽  
Exponential Expansion ◽  
Symmetry Generators ◽  
Dust Distribution ◽  
Universe Models

This paper investigates the existence of Noether symmetries of some anisotropic homogeneous universe models in non-minimally coupled f(R, T) gravity (R and T represent Ricci scalar and trace of the energy–momentum tensor). We evaluate symmetry generators and the corresponding conserved quantities for two models of this theory admitting direct and indirect non-minimal curvature–matter coupling. We also discuss exact solutions for dust as well as non-dust matter distribution and study the physical behavior of some cosmological parameters through these solutions. For dust distribution, the exact solution corresponds to power-law expansion and Einstein universe while exponential expansion appears for non-dust matter. The graphical analysis of these solutions and cosmological parameters provide consistent results with recent observations about accelerated cosmic expansion. We conclude that Noether symmetry generators and conserved quantities exist for both models.

scholarly journals Noether symmetries in symmetric teleparallel cosmology

2019 ◽  
Vol 79 (7) ◽  
Author(s):  
Konstantinos F. Dialektopoulos ◽  
Tomi S. Koivisto ◽  
Salvatore Capozziello
Keyword(s):  
Noether Symmetries

Classification of Static Spherically Symmetric Spacetimes by Noether Symmetries

2013 ◽  
Vol 52 (10) ◽  
pp. 3534-3542 ◽  
Author(s):  
Ashfaque H. Bokhari ◽  
A. G. Johnpillai ◽  
A. H. Kara ◽  
F. M. Mahomed ◽  
F. D. Zaman
Keyword(s):  
Spherically Symmetric ◽  
Noether Symmetries ◽  
Symmetric Spacetimes ◽  
Spherically Symmetric Spacetimes ◽  
Static Spherically Symmetric Spacetimes

scholarly journals Killing and Noether Symmetries of Plane Symmetric Spacetime

2013 ◽  
Vol 52 (9) ◽  
pp. 3106-3117 ◽  
Author(s):  
M. Farasat Shamir ◽  
Adil Jhangeer ◽  
Akhlaq Ahmad Bhatti
Keyword(s):  
Noether Symmetries ◽  
Plane Symmetric ◽  
Symmetric Spacetime

Effect of modified Chaplygin gas in anisotropic universe

2009 ◽  
Vol 321 (1) ◽  
pp. 53-56 ◽  
Author(s):  
Shuvendu Chakraborty ◽  
Ujjal Debnath
Keyword(s):  
Chaplygin Gas ◽  
Anisotropic Universe ◽  
Modified Chaplygin Gas
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