Cover Image

Horizon Data: Existence Results and a Near-Horizon Equation on General Null Hypersurfaces

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Manzano, Miguel, Mars, Marc
Format:	Preprint
Published:	2025
Subjects:	General Relativity and Quantum Cosmology Differential Geometry
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Null hypersurface data and ambient vector fields: Killing horizons of order zero/one
by: Manzano, Miguel, et al.
Published: (2024)

Horizons that Gyre and Gimble: A Differential Characterization of Null Hypersurfaces
by: Blitz, Samuel, et al.
Published: (2023)

Hypersurface data: General properties and Birkhoff theorem in spherical symmetry
by: Mars, Marc
Published: (2024)

The constraint tensor for null hypersurfaces
by: Manzano, Miguel, et al.
Published: (2023)

Transverse expansion of the metric at null hypersurfaces II. Existence results and application to Killing horizons
by: Mars, Marc, et al.
Published: (2025)

Existence and uniqueness of compact rotating configurations in GR in second order perturbation theory
by: Mars, Marc, et al.
Published: (2020)

Dynamics of Apparent Horizon and a Null Comparison Principle
by: An, Xinliang, et al.
Published: (2023)

Horizons in noncompact fill-ins of nonnegative scalar curvature
by: Miao, Pengzi, et al.
Published: (2025)

Conformal characterization of the Fefferman-Graham ambient metric
by: Mars, Marc, et al.
Published: (2025)

Killing and homothetic initial data for general hypersurfaces
by: Mars, Marc, et al.
Published: (2025)

Transverse expansion of the metric at null infinity
by: Mars, Marc, et al.
Published: (2026)

Transverse expansion of the metric at null hypersurfaces I. Uniqueness and application to Killing horizons
by: Mars, Marc, et al.
Published: (2024)

Gauge fixing and regularity of axially symmetric and axistationary second order perturbations around spherical backgrounds
by: Mars, Marc, et al.
Published: (2020)

Marginally outer trapped tubes in de Sitter spacetime
by: Mars, Marc, et al.
Published: (2024)

Horizon classification via Riemannian flows
by: Hounnonkpe, R. A., et al.
Published: (2024)

Metric Convergence of Sequences of Static Spacetimes with the Null Distance
by: Allen, Brian
Published: (2025)

Regularity of the Future Event Horizon in Perturbations of Kerr
by: Chen, Xuantao, et al.
Published: (2024)

Cosmological Spacetimes with Sign-Changing Spatial Curvature and Topological Transitions
by: García-Moreno, Gerardo, et al.
Published: (2026)

Existence of static vacuum extensions for Bartnik boundary data near Schwarzschild spheres
by: Alexakis, Spyros, et al.
Published: (2024)

Near horizon limit of the Wang--Yau quasi-local mass
by: Chen, Po-Ning
Published: (2024)

Naked Singularity Censoring with Anisotropic Apparent Horizon
by: An, Xinliang
Published: (2024)

A Phase Space Approach to the Conformal Construction of Non-Vacuum Initial Data Sets in General Relativity
by: Isenberg, James, et al.
Published: (2021)

Wind Finslerian structures: from Zermelo's navigation to the causality of spacetimes
by: Caponio, Erasmo, et al.
Published: (2014)

On the formulations of the Fermat principle in general relativity and beyond
by: Caponio, Erasmo, et al.
Published: (2026)

Lorentzian Cheeger-Gromov convergence and temporal functions
by: Burgos, Saúl, et al.
Published: (2025)

Lorentzian-Euclidean black holes and Lorentzian to Riemannian metric transitions
by: Bartolo, Rossella, et al.
Published: (2025)

Genericity of singularities in spacetimes with weakly trapped submanifolds
by: Silva, Ivan Pontual Costa e, et al.
Published: (2023)

Extremal and weakly trapped submanifolds in Generalized Robertson-Walker spacetimes
by: Pelegrín, José A. S.
Published: (2024)

On a Rigidity Result in Positive Scalar Curvature Geometry
by: Mondal, Puskar
Published: (2024)

On a Variant of the Penrose Conjecture
by: Hirsch, Sven, et al.
Published: (2026)

A simplified proof of a cosmological singularity theorem
by: Galloway, Gregory J., et al.
Published: (2025)

Geodesic causality in Kerr spacetimes with $|a|\geq M$
by: Sanzeni, Giulio, et al.
Published: (2025)

Curvature equations coupling symmetric tensors with a metric
by: Fox, Daniel J. F.
Published: (2021)

Maximum capacity of Bartnik data and a generalization of static metrics
by: Jauregui, Jeffrey L.
Published: (2026)

Static vacuum extensions with prescribed Bartnik boundary data near a general static vacuum metric
by: An, Zhongshan, et al.
Published: (2022)

On a Class of Exact Arbitrarily Differentiable de Sitter Cores with Kerr Exteriors: Possible gravastar or regular black hole mimickers
by: Ilijic, Sasa, et al.
Published: (2023)

Lagrangian Formulation of the Raychaudhuri Equation in Non-Riemannian Geometry
by: Agashe, Anish
Published: (2023)

Area-charge inequalities and rigidity of time-symmetric initial data sets
by: Cruz, Tiarlos, et al.
Published: (2025)

Compact Cauchy horizons admit constant surface gravity
by: Hounnonkpe, Raymond A., et al.
Published: (2025)

Foliations by critical surfaces of the Hawking energy in asymptotically flat initial data sets
by: Diaz, Alejandro Peñuela
Published: (2025)