A positive energy theorem for fourth-order gravity
From MaRDI portal
Publication:2113297
DOI10.1007/s00526-021-02152-wzbMath1490.35487arXiv2102.00522OpenAlexW4210417847WikidataQ113904948 ScholiaQ113904948MaRDI QIDQ2113297
Rodrigo Avalos, Jorge H. Lira, Paul Laurain
Publication date: 14 March 2022
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2102.00522
Gravitational energy and conservation laws; groups of motions (83C40) PDEs in connection with relativity and gravitational theory (35Q75) Geometric theory, characteristics, transformations in context of PDEs (35A30) Time-dependent Schrödinger equations and Dirac equations (35Q41) PDEs on manifolds (35R01)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Localizing solutions of the Einstein constraint equations
- Making the case for conformal gravity
- The \(Q\)-curvature on a 4-dimensional Riemannian manifold \((M,g)\) with \(\int_M QdV_g = 8\pi^2\)
- Large outlying stable constant mean curvature spheres in initial data sets
- Deformations of \(Q\)-curvature. I
- Foliations by stable spheres with constant mean curvature for isolated systems with general asymptotics
- Foliations by stable spheres with constant mean curvature for isolated systems without asymptotic symmetry
- A strong maximum principle for the Paneitz operator and a non-local flow for the \(\mathcal Q\)-curvature
- Positive mass theorem for the Paneitz-Branson operator
- Conformal deformation of a Riemannian metric to constant scalar curvature
- Conformally flat manifolds, Kleinian groups and scalar curvature
- Proof of the positive mass theorem. II
- On the proof of the positive mass conjecture in general relativity
- Yamabe classification and prescribed scalar curvature in the asymptotically Euclidean setting
- Solutions of the Einstein constraint equations with apparent horizon boundaries
- Quantum gravity in everyday life: general relativity as an effective field theory
- Extremal metrics of zeta function determinants on 4-manifolds
- Definition of center of mass for isolated physical systems and unique foliations by stable spheres with constant mean curvature
- Large isoperimetric surfaces in initial data sets
- The principal eigenvalue of a conformally invariant differential operator, with an application to semilinear elliptic PDE
- Existence of conformal metrics with constant \(Q\)-curvature
- A new type of isotropic cosmological models without singularity
- Constant \(Q\)-curvature metrics in arbitrary dimension
- Effective versions of the positive mass theorem
- Rigidity of stable minimal hypersurfaces in asymptotically flat spaces
- Conformal deformation on manifolds with boundary
- Riemannian Manifolds with Positive Yamabe Invariant and Paneitz Operator
- QCurvature on a Class of 3-Manifolds
- Q-Curvature on a Class of Manifolds with Dimension at Least 5
- Coordinate Invariance and Energy Expressions in General Relativity
- Reduced thin-sandwich equations on manifolds Euclidean at infinity and on closed manifolds: Existence and multiplicity
- On positive solutions to semilinear conformally invariant equations on locally conformally flat manifolds
- Sign of Green's Function of Paneitz Operators and theQCurvature
- The mass of an asymptotically flat manifold
- The Yamabe problem
- Some regularity theorems in riemannian geometry
- Geometric Relativity
- Geometric invariance of mass-like asymptotic invariants
