Reduction of the \(n\)-dimensional static vacuum Einstein equation and generalized Schwarzschild solutions
From MaRDI portal
Publication:1799163
DOI10.1016/j.jmaa.2018.09.042zbMath1400.83020OpenAlexW2892531593MaRDI QIDQ1799163
Benedito Leandro, João Paulo Dos Santos
Publication date: 18 October 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.2018.09.042
Black holes (83C57) Applications of differential geometry to physics (53Z05) Kaluza-Klein and other higher-dimensional theories (83E15) Exact solutions to problems in general relativity and gravitational theory (83C15)
Related Items (4)
An analysis of symmetry groups of generalized $m$-quasi-Einstein manifolds ⋮ A result of rigidity for Ricci-flat warped products ⋮ Vanishing conditions on Weyl tensor for Einstein-type manifolds ⋮ Static Einstein-Maxwell space-time invariant by translation
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The symmetry group of Lamé's system and the associated Guichard nets for conformally flat hypersurfaces
- Nonexistence of multiple black holes in static space-times and weakly harmonic curvature
- A family of warped product semi-Riemannian Einstein metrics
- Isoparametric functions on Riemannian manifolds. I
- Submanifolds of constant sectional curvature in pseudo-Riemannian manifolds
- A simple proof of the generalization of Israel's theorem
- On new exact blow-up solutions for nonlinear heat conduction equations with source and applications
- On the reduction of the nonlinear multi-dimensional wave equations and compatibility of the d'Alembert-Hamilton system
- On the topology of black holes
- A precise definition of reduction of partial differential equations
- On gradient Yamabe solitons conformal to a pseudo-Euclidian space
- Transnormal functions on a Riemannian manifold
- Scalar curvature, metric degenerations and the static vacuum Einstein equations on 3-manifolds. I
- On gradient Ricci solitons conformal to a pseudo-Euclidean space
- A note on nonexistence of multiple black holes in static vacuum Einstein space-times
- On the symmetry groups of the intrinsic generalized wave and sine–Gordon equations
- On gradient Ricci solitons with constant scalar curvature
- Non-classical symmetry reduction: example of the Boussinesq equation
- New similarity reductions of the Boussinesq equation
- Direct reduction and differential constraints
- Invariant solutions for the static vacuum equation
- The Large Scale Structure of Space-Time
- Schwarzschild field inn dimensions and the dimensionality of space problem
- On the structure of solutions to the static vacuum Einstein equations
This page was built for publication: Reduction of the \(n\)-dimensional static vacuum Einstein equation and generalized Schwarzschild solutions
