On some locally symmetric embedded spaces with non-negative scalar curvature and their characterization
DOI10.1142/S0219887822500517MaRDI QIDQ6492645
Abbas Mohamed Sherif, Peter K. S. Dunsby, Rituparno Goswami
Publication date: 25 April 2024
Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)
Ricci solitonslocally rotationally symmetric spacetimesmarginally trapped tube\(1+1+2\) spacetime decomposition
Differential geometry of homogeneous manifolds (53C30) Applications of differential geometry to physics (53Z05) General relativity (83C99) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Differential geometry of symmetric spaces (53C35) Applications of local differential geometry to the sciences (53B50) Local submanifolds (53B25) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Classification of expanding and steady Ricci solitons with integral curvature decay
- Expanding Ricci solitons asymptotic to cones
- Steady gradient Ricci soliton with curvature in \(L^1\)
- Expanding Ricci solitons with pinched Ricci curvature
- On the classification of gradient Ricci solitons
- On a classification of gradient shrinking solitons
- Nonlinear models in \(2+\epsilon\) dimensions
- Ricci solitons on compact three-manifolds
- Curvature tensors and covariant derivatives
- Isolated and dynamical horizons and their applications
- Three-manifolds with positive Ricci curvature
- Rigidity of gradient Ricci solitons
- Some uniqueness results for dynamical horizons
- Rotational symmetry of Ricci solitons in higher dimensions
- The general theory of space-like congruences with an application to vorticity in relativistic hydrodynamics
- Dynamical Horizons: Energy, Angular Momentum, Fluxes, and Balance Laws
- Horizon energy and angular momentum from a Hamiltonian perspective
- Marginally trapped tubes and dynamical horizons
- Ricci solitons and Einstein-scalar field theory
- Exact Solutions of Einstein's Field Equations
- Covariant perturbations of Schwarzschild black holes
- Scalar field and electromagnetic perturbations on locally rotationally symmetric spacetimes
- Classification and conformal symmetry in three-dimensional space–times
- The covariant approach to LRS perfect fluid spacetime geometries
- Some results on cosmological and astrophysical horizons and trapped surfaces
- Two-Dimensional Gradient Ricci Solitons Revisited
- Equivalence of three-dimensional spacetimes
- Second-order symmetric Lorentzian manifolds: I. Characterization and general results
- A THEOREM ON CURVATURE TENSOR FIELDS
- The Large Scale Structure of Space-Time
This page was built for publication: On some locally symmetric embedded spaces with non-negative scalar curvature and their characterization
