On the non-linear stability of the Cosmological region of the Schwarzschild-de Sitter spacetime
DOI10.1088/1361-6382/acdb3fzbMath1526.83009arXiv2302.04004OpenAlexW4379113160MaRDI QIDQ6105108
Marica Minucci, Juan Antonio Valiente Kroon
Publication date: 26 June 2023
Published in: Classical and Quantum Gravity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2302.04004
partial differential equationsnon-linear stabilityWeyl connectionconformal geodesicsSchwarzschild-de Sitter spacetimeconformal Einstein field equationsconformal Gaussian gauge
Black holes (83C57) Stability in context of PDEs (35B35) Conformal metrics (hyperbolic, Poincaré, distance functions) (30F45) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Geodesics in global differential geometry (53C22) Yang-Mills and other gauge theories in mechanics of particles and systems (70S15) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20) Approximation procedures, weak fields in general relativity and gravitational theory (83C25) Hypersurfaces and algebraic geometry (14J70) Probabilistic methods, particle methods, etc. for initial value and initial-boundary value problems involving PDEs (65M75)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Decay of linear waves on higher-dimensional Schwarzschild black holes
- Perturbations of the asymptotic region of the Schwarzschild-de Sitter spacetime
- On the existence of \(n\)-geodesically complete or future complete solutions of Einstein's field equations with smooth asymptotic structure
- On the global existence and the asymptotic behavior of solutions to the Einstein-Maxwell-Yang-Mills equations
- Gravitational fields near space-like and null infinity
- Conformal geodesics on vacuum space-times
- The global non-linear stability of the Kerr-de Sitter family of black holes
- Non-linear stability of the Kerr-Newman-de Sitter family of charged black holes
- KIDs are non-generic
- Elliptic functions and applications
- Einstein equations and conformal structure: Existence of anti-de Sitter-type space-times
- Decay of the Weyl curvature in expanding black hole cosmologies
- Improved existence for the characteristic initial value problem with the conformal Einstein field equations
- Global results for linear waves on expanding Kerr and Schwarzschild de Sitter cosmologies
- A perturbative approach to the construction of initial data on compact manifolds
- Perturbative solutions of the extended constraint equations in general relativity
- Conformal Methods in General Relativity
- On de Sitter-like and Minkowski-like spacetimes
- Conformal geodesics in general relativity
- On the Local Existence for the Characteristic Initial Value Problem in General Relativity
- A conformal approach to the stability of Einstein spaces with spatial sections of negative scalar curvature
- Lectures on black holes and linear waves
- Exact Space-Times in Einstein's General Relativity
This page was built for publication: On the non-linear stability of the Cosmological region of the Schwarzschild-de Sitter spacetime
