Construction of vacuum initial data by the conformally covariant split system
DOI10.1088/1361-6382/ab2781zbMath1479.83191arXiv1811.07639OpenAlexW3102493270MaRDI QIDQ5164396
Naqing Xie, Yaohua Wang, Patryk Mach
Publication date: 11 November 2021
Published in: Classical and Quantum Gravity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1811.07639
Lattice gravity, Regge calculus and other discrete methods in general relativity and gravitational theory (83C27) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Analogues of general relativity in lower dimensions (83C80) Constrained dynamics, Dirac's theory of constraints (70H45) Boundary value problems on manifolds (58J32) Propagation of singularities; initial value problems on manifolds (58J47)
Uses Software
Cites Work
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- Bifurcating solutions of the Lichnerowicz equation
- A limit equation associated to the solvability of the vacuum Einstein constraint equations by using the conformal method
- A class of solutions of the vacuum Einstein constraint equations with freely specified mean curvature
- Applications of fixed point theorems to the vacuum Einstein constraint equations with non-constant mean curvature
- Rough solutions of the Einstein constraints on closed manifolds without near-CMC conditions
- Conformal deformation of a Riemannian metric to constant scalar curvature
- The Yamabe problem on manifolds with boundary
- Equations différentielles non linéaires et problème de Yamabe concernant la courbure scalaire
- Initial data for numerical relativity
- Effective multiplicity for the Einstein-scalar field Lichnerowicz equation
- CMC-slicings of Kottler-Schwarzschild-de Sitter cosmologies
- Global aspects of the Cauchy problem in general relativity
- L'intégration des équations de la gravitation relativiste et le problème des \(n\) corps
- A new point of view on the solutions to the Einstein constraint equations with arbitrary mean curvature and small TT-tensor
- Conformally covariant parametrizations for relativistic initial data
- Rotating Bowen–York initial data with a positive cosmological constant
- Rough solutions of the Einstein constraint equations
- Initial data for rotating cosmologies
- Einstein constraints on compact n -dimensional manifolds
- The emergent universe: an explicit construction
- Constant mean curvature solutions of the Einstein constraint equations on closed manifolds
- Near-constant mean curvature solutions of the Einstein constraint equations with non-negative Yamabe metrics
- Conformally invariant orthogonal decomposition of symmetric tensors on Riemannian manifolds and the initial-value problem of general relativity
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