New Proposal for Renormalisation Group Equations on Curved Spacetimes
Explore new renormalisation group equations for curved spacetimes, focusing on perturbative algebraic quantum field theory and flow equations applicable to arbitrary globally hyperbolic spacetimes.
Obstruction-Free Gluing for the Einstein Equations
Explore a novel approach to gluing solutions of Einstein equations, removing obstructions and utilizing nonlinearity of constraint equations in General Relativity.
Semi-Classical Analysis of Strong Cosmic Censorship - Lecture
Explore semi-classical analysis of strong cosmic censorship in General Relativity. Delve into quantum effects on Cauchy horizons and their implications for determinism in black hole spacetimes.
Elements of General Relativity - Lecture 2
Explore advanced concepts in general relativity, focusing on geometry beyond Riemann and examining curvature and rigidity in spacetime.
Elements of General Relativity - Lecture 3
Explore advanced concepts in general relativity, focusing on geometry beyond Riemann and examining curvature and rigidity in spacetime.
Lorentzian Length Spaces: An Introduction to Synthetic Lorentzian Geometry
Explore synthetic Lorentzian geometry foundations, focusing on time separation functions, curvature bounds, and applications in General Relativity, including recent developments in singularity theorems.
C^0-Inextendibility of FLRW Spacetimes Without Particle Horizons - Mathematical Relativity
Explore C^0-inextendibility of FLRW spacetimes without particle horizons, focusing on positive and negative spatial sectional curvature cases and scale factor implications.
On the Classification Problem for Static Metrics with Positive Cosmological Constant
Explore recent advances in classifying static solutions to vacuum Einstein field equations with positive cosmological constant and related mass concepts in general relativity.
A Quiescent Regime for Big Bang Formation
Explore stable big bang formation in general relativity, covering recent results and a new condition for big bang formation in Einstein-non-linear scalar field settings.
Mathematical General Relativity: Seventy-Two Years After Yvonne Bruhat's Foundational Acta Paper
Explore key achievements in mathematical general relativity since Y.C Bruhat's foundational Acta paper, reviewing 72 years of progress in the field.
The Nonlinear Stability of Kerr for Small Angular Momentum
Explore the black hole stability conjecture and its recent developments, focusing on the Kerr family of metrics and their stability in Einstein's vacuum equations.
Mass Aspect Function for Weakly Regular Asymptotically Hyperbolic Manifolds
Explore mass aspect function definition for weakly regular asymptotically hyperbolic manifolds, extending Wang's work to low regularity settings using cut-off functions and distribution theory.
How Minimal Hypersurface and MOTS Singularities Affect Relativity Theorems
Explore how singularities in minimal hypersurfaces and MOTS impact key theorems in relativity, focusing on challenges and solutions in different dimensions.
Gluing Black Holes Along Timelike Geodesics
Explore the construction of metrics describing Kerr black holes traveling along timelike geodesics in smooth globally hyperbolic spacetimes, with applications to extreme mass ratio mergers.
Memory Effect and Carroll Symmetry for Gravitational Waves
Explore gravitational wave detection through particle displacement, integrating geodesic equations using plane wave isometries and Carroll group symmetry to determine particle trajectories.
Definition of Spin Charge in Asymptotically-Flat Spacetimes
Explore a novel approach to defining spin charge in asymptotically-flat spacetimes using generalized-BMS algebra, coadjoint orbits, and vorticity concepts.
BMS-Supertranslation Charges at the Critical Sets of Null Infinity
Explore BMS-supertranslation charges in asymptotically flat spacetimes, analyzing Strominger's conjecture and its validity using Friedrich's formulation of spatial infinity.
Oppenheimer-Snyder Type Collapse for the Einstein-Vlasov System
Explore gravitational collapse approximation using Einstein-Vlasov system, extending Oppenheimer-Snyder's work on dust balls to understand black holes and cosmic censorship.
Late Time Tail of Waves on Dynamic Asymptotically Flat Spacetimes of Odd Space Dimensions
Explore late time asymptotic behavior of wave equations in odd spatial dimensions, uncovering new insights for dynamic backgrounds and nonlinear cases. Gain understanding of black hole interiors.
Extremal Critical Collapse in Gravitational Systems
Explore the formation of extremal black holes in gravitational collapse, challenging the third law of black hole thermodynamics and introducing the concept of extremal critical collapse.
Formation of Quiescent Big Bang Singularities
Explore general relativity's big bang singularities, recent stability results, and a new condition for big bang formation in Einstein-non-linear scalar field settings.