The Ricci soliton equation and the structure of homogeneous Gödel-type spacetimes
From MaRDI portal
Publication:1650513
DOI10.1016/j.jmaa.2018.05.051zbMath1393.83007OpenAlexW2804686225MaRDI QIDQ1650513
Publication date: 4 July 2018
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2018.05.051
Applications of differential geometry to physics (53Z05) Soliton equations (35Q51) Exact solutions to problems in general relativity and gravitational theory (83C15)
Related Items
A Ricci soliton characterization of pure radiation metrics conformal to a vacuum space-time ⋮ Totally geodesic and parallel hypersurfaces of Gödel-type spacetimes ⋮ Solutions of the Ricci soliton equation for a large class of Siklos spacetimes ⋮ Ricci bi-conformal vector fields on homogeneous Gödel-type spacetimes ⋮ Homogeneous geodesics and natural reductivity of homogeneous Gödel-type spacetimes ⋮ On semi-direct extensions of the Heisenberg group ⋮ Siklos spacetimes as homogeneous Ricci solitons ⋮ The Ricci soliton equation for homogeneous Siklos spacetimes
Cites Work
- Unnamed Item
- Oscillator spacetimes are Ricci solitons
- On some structure results for Gödel-type spacetimes
- Locally conformally flat Lorentzian gradient Ricci solitons
- A note on geodesic connectedness of Gödel type spacetimes
- On solutions of the Ricci curvature equation and the Einstein equation
- Three-dimensional Lorentzian homogeneous Ricci solitons
- Singularity theorems and the Lorentzian splitting theorem for the Bakry-Emery-Ricci tensor
- A complete classification of Ricci and Yamabe solitons of non-reductive homogeneous 4-spaces
- Towards physically motivated proofs of the Poincaré and geometrization conjectures
- Homogeneity of Riemannian space-times of Gödel type
- Ricci Solitons and Geometry of Four-dimensional Non-reductive Homogeneous Spaces
- Potentials and point symmetries of Klein–Gordon equations in space-time homogenous Gödel-type metrics
- The lightcone of Gödel-like spacetimes
- Ricci solitons on Lorentzian manifolds with large isometry groups
- Recent Progress on Ricci Solitons
- Ricci solitons and Einstein-scalar field theory
- On gradient Ricci solitons with symmetry
- Notes on a class of homogeneous space-times
- Collineations of Godel-type space-times
- Matter collineations of spacetime homogeneous G del-type metrics
- Computer-aided study of a class of Riemannian space-times
- ENERGY AND MOMENTUM IN SPACETIME HOMOGENEOUS GÖDEL-TYPE METRICS
- Four-dimensional pseudo-Riemannian homogeneous Ricci solitons
- Closed timelike curves and geodesics of Gödel-type metrics
- An Example of a New Type of Cosmological Solutions of Einstein's Field Equations of Gravitation
