Dynamics of the anisotropic Kantowsky–Sachs geometries in Rn gravity

G Leon, EN Saridakis - Classical and Quantum Gravity, 2011 - iopscience.iop.org
We construct general anisotropic cosmological scenarios governed by an f (R) gravitational
sector. Focusing then on Kantowski–Sachs geometries in the case of R n-gravity, and …

Matter collineations of spacetime homogeneous Gödel-type metrics

U Camci, M Sharif - Classical and Quantum Gravity, 2003 - iopscience.iop.org
The spacetime homogeneous Gödel-type spacetimes which have four classes of metrics are
studied according to their matter collineations. The results obtained are compared with …

Ricci Bi-Conformal Vector Fields on Homogeneous Gödel-Type Spacetimes

S Azami, M Jafari - Journal of Nonlinear Mathematical Physics, 2023 - Springer
In this paper, we consider the homogeneous Gödel-type spacetimes and we completely
classify the Ricci bi-conformal vector fields on these spaces. Also, we show that all Ricci bi …

Qualitative analysis of Kantowski-Sachs metric in a generic class of f (R) models

G Leon, AA Roque - Journal of Cosmology and Astroparticle …, 2014 - iopscience.iop.org
In this paper we investigate, from the dynamical systems perspective, the evolution of a
Kantowski-Sachs metric in a generic class of f (R) models. We present conditions (ie …

Matter collineations in Kantowski-Sachs, Bianchi types I and III spacetimes

U Camci, M Sharif - General Relativity and Gravitation, 2003 - Springer
The matter collineation classifications of Kantowski-Sachs, Bianchi types I and III space
times are studied according to their degenerate and non-degenerate energy-momentum …

Ricci collineations in perfect fluid Bianchi V spacetime

U Camci, I Türkyilmaz - General Relativity and Gravitation, 2004 - Springer
The Bianchi V spacetimes with perfect-fluid matter are classified according to their Ricci
collineations. We have found that in the degenerate case there are infinitely many Ricci …

Conformal Ricci collineations of static spherically symmetric spacetimes

U Camci, A Qadir, K Saifullah - Communications in Theoretical …, 2008 - iopscience.iop.org
Conformal Ricci collineations of static spherically symmetric spacetimes are studied. The
general form of the vector fields generating conformal Ricci collineations is found when the …

Ricci inheritance collineations in Kantowski–Sachs spacetimes

T Hussain, A Musharaf, S Khan - International Journal of Geometric …, 2016 - World Scientific
In this paper, we investigate Ricci Inheritance Collineations (RICs) in Kantowski–Sachs
spacetimes. RICs are discussed in detail when Ricci tensor is degenerate and …

Classifications of Kantowski–Sachs, Bianchi types I and III spacetimes according to Ricci collineations

U Camci, İ YAVUZ - International Journal of Modern Physics D, 2003 - World Scientific
The Ricci collineation classifications of Kantowski–Sachs, Bianchi types I and III spacetimes
are studied according to their degenerate and non-degenerate Ricci tensor. When the Ricci …

Ricci inheritance collineation in Bianchi type I spacetimes

T Hussain, SS Akhtar, S Khan - The European Physical Journal Plus, 2015 - Springer
In this article we explored the Ricci inheritance collineations (RICs) for Bianchi type I
spacetimes. When the Ricci tensor is non-degenerate, the general form of vector fields …