Tractor geometry of asymptotically flat spacetimes

DOI10.1007/s00023-022-01174-0zbMath1501.83004arXiv2103.10405OpenAlexW3136374420MaRDI QIDQ2165070

Yannick Herfray

Publication date: 18 August 2022

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.10405

Mathematics Subject Classification ID

Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35) Applications of differential geometry to physics (53Z05) Asymptotic procedures (radiation, news functions, (mathcal{H} )-spaces, etc.) in general relativity and gravitational theory (83C30) Gravitational waves (83C35) Conformal structures on manifolds (53C18)

Related Items

Higher fundamental forms of the conformal boundary of asymptotically de Sitter spacetimes ⋮ Non-lorentzian spacetimes ⋮ An embedding space approach to Carrollian CFT correlators for flat space holography ⋮ Carrollian and celestial spaces at infinity ⋮ The gauging procedure and Carrollian gravity

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Higher-dimensional supertranslations and Weinberg's soft graviton theorem
• Conformally invariant non-local operators.
• Cauchy problems for the conformal vacuum field equations in general relativity
• Twistor connection and normal conformal Cartan connection
• Nonlinear gravitons and curved twistor theory
• Null infinity, the BMS group and infrared issues
• Finite BMS transformations
• Carroll versus Galilei gravity
• On the symplectic structure of general relativity
• Thomas's structure bundle for conformal, projective and related structures
• The effective action of superrotation modes
• Charge algebra in \(\mathrm{Al}(A)dS_n\) spacetimes
• Lightlike manifolds and Cartan geometries
• Almost Einstein and Poincaré-Einstein manifolds in Riemannian signature
• Aspects of the BMS/CFT correspondence
• Conformal Dirichlet-Neumann maps and Poincaré-Einstein manifolds
• The \(\Lambda- \mathrm{BMS}_4\) charge algebra
• On asymptotic symmetries in higher dimensions for any spin
• Local twistors and the conformal field equations
• Geometry and Physics of Null Infinity
• Conformal Carroll groups
• Dynamics of Carroll particles
• The generalized good cut equation
• Peeling or not peeling—is that the question?
• Gravitational waves in general relativity VIII. Waves in asymptotically flat space-time
• Gravitational waves in general relativity, VII. Waves from axi-symmetric isolated system
• An Approach to Gravitational Radiation by a Method of Spin Coefficients
• The Kähler structure of asymptotic twistor space
• Möbius structures and two dimensional EinsteinWeyl geometry
• Intrinsic geometry of a null hypersurface
• BMS supertranslations and memory in four and higher dimensions
• Twistor theory at fifty: from contour integrals to twistor strings
• Conserved quantities for polyhomogeneous spacetimes
• Gravitational waves in general relativity XIV. Bondi expansions and the ‘polyhomogeneity’ of ℐ
• Comparison of the Bondi-Sachs and Penrose approaches to asymptotic flatness
• Conformal Carroll groups and BMS symmetry
• Einstein gravity as a gauge theory for the conformal group
• Asymptotic shear and the intrinsic conformal geometry of null-infinity
• Embedding Galilean and Carrollian geometries. I. Gravitational waves
• Carrollian conservation laws and Ricci-flat gravity
• Carrollian physics at the black hole horizon
• The Λ-BMS₄ group of dS₄ and new boundary conditions for AdS₄
• Boundary calculus for conformally compact manifolds
• An Introduction to Conformal Geometry and Tractor Calculus, with a view to Applications in General Relativity
• Poincaré–Einstein holography for forms via conformal geometry in the bulk
• Zero rest-mass fields including gravitation: asymptotic behaviour
• Carroll versus Newton and Galilei: two dual non-Einsteinian concepts of time
• Asymptotic Symmetries in Gravitational Theory
• Null geodesic congruences, asymptotically-flat spacetimes and their physical interpretation

This page was built for publication: Tractor geometry of asymptotically flat spacetimes