Generalized Robertson–Walker spacetimes—a survey

CA Mantica, LG Molinari - … Journal of Geometric Methods in Modern …, 2017 - World Scientific
Generalized Robertson–Walker spacetimes extend the notion of Robertson–Walker
spacetimes, by allowing for spatial non-homogeneity. A survey is presented, with main focus …

Cosmological perfect-fluids in gravity

S Capozziello, CA Mantica… - International Journal of …, 2019 - World Scientific
We show that an n-dimensional generalized Robertson–Walker (GRW) space-time with
divergence-free conformal curvature tensor exhibits a perfect fluid stress–energy tensor for …

On the Weyl and Ricci tensors of Generalized Robertson-Walker space-times

CA Mantica, LG Molinari - Journal of Mathematical Physics, 2016 - pubs.aip.org
We prove theorems about the Ricci and the Weyl tensors on Generalized Robertson-Walker
space-times of dimension n≥ 3. In particular, we show that the concircular vector introduced …

Perfect-fluid, generalized Robertson-Walker space-times, and Gray's decomposition

CA Mantica, LG Molinari, YJ Suh… - Journal of Mathematical …, 2019 - pubs.aip.org
We give new necessary and sufficient conditions on the Weyl tensor for generalized
Robertson-Walker (GRW) space-times to be perfect-fluid space-times. For GRW space …

Symmetry and pseudosymmetry properties of Vaidya-Bonner-de Sitter spacetime

AA Shaikh, SK Hui, M Sarkar, VA Babu - Journal of Geometry and Physics, 2024 - Elsevier
The primary focus of the current study is to explore the geometrical properties of the Vaidya-
Bonner-de Sitter (briefly, VBdS) spacetime, which is a generalization of Vaidya-Bonner …

A study of generalized quasi Einstein spacetimes with applications in general relativity

S Güler, SA Demirbağ - International Journal of Theoretical Physics, 2016 - Springer
The aim of this paper is to investigate some geometric and physical properties of the
generalized quasi Einstein spacetime G (QE) 4 under certain conditions. Firstly, we prove …

On curvature related geometric properties of Hayward black hole spacetime

AA Shaikh, SK Hui, BR Datta, M Sarkar - New Astronomy, 2024 - Elsevier
This paper is devoted to the study of curvature properties of Hayward black hole (briefly,
HBH) spacetime, which is a solution of Einstein field equations (briefly, EFE) having non …

Curvature properties of Gödel metric

R Deszcz, M Hotloś, J Jełowicki, H Kundu… - International Journal of …, 2014 - World Scientific
Curvature properties of Gödel metric Page 1 International Journal of Geometric Methods in
Modern Physics Vol. 11, No. 3 (2014) 1450025 (20 pages) c© World Scientific Publishing …

Curvature related geometrical properties of topologically charged EiBI-gravity spacetime

AA Shaikh, F Ahmed, M Sarkar - New Astronomy, 2024 - Elsevier
The objective of this article is to study topologically charged Eddington-inspired Born–Infeld
(briefly, EiBI) gravity spacetime. It is proved that the topologically charged EiBI spacetime …

Curvature properties of Kantowski–Sachs metric

AA Shaikh, D Chakraborty - Journal of Geometry and Physics, 2021 - Elsevier
In this paper we have investigated the curvature restricted geometric properties of the
generalized Kantowski–Sachs (briefly, GK–S) spacetime metric, a warped product of 2 …