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Related papers: Asymptotic Limit of Null Hypersurfaces

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We characterize the null energy condition for an $(n+1)$-dimensional Lorentzian manifold in terms of convexity of the relative $(n-1)$-Renyi entropy along displacement interpolations on null hypersurfaces. More generally, we also consider…

Differential Geometry · Mathematics 2023-04-12 Christian Ketterer

The asymptotic group of symmetries at null infinity of flat spacetimes in three and four dimensions is the infinite dimensional Bondi-Metzner-Sachs (BMS) group. This has recently been shown to be isomorphic to non-relativistic conformal…

High Energy Physics - Theory · Physics 2014-08-05 Arjun Bagchi , Reza Fareghbal

We consider a recently proposed extension of the Bondi-Metzner-Sachs algebra to include arbitrary infinitesimal diffeomorphisms on a (2)-sphere. To realize this extended algebra as asymptotic symmetries, we work with an extended class of…

General Relativity and Quantum Cosmology · Physics 2020-01-06 Éanna É. Flanagan , Kartik Prabhu , Ibrahim Shehzad

We prove that the imaginary parts of scattering resonances for negatively curved asymptotically hyperbolic surfaces are uniformly bounded away from zero and provide a resolvent bound in the resulting resonance-free strip. This provides an…

Spectral Theory · Mathematics 2026-02-13 Zhongkai Tao

We re-express the Kerr metric in standard Bondi-Saches' coordinate near null infinity ${\cal I}^+$. Using the uniqueness result of characteristic initial value problem, we prove the Kerr metric is the only asymptotic flat, stationary, axial…

General Relativity and Quantum Cosmology · Physics 2008-12-30 Xiaoning Wu , Shan Bai

The Bondi-Metzner-Sachs-van der Burg (BMS) group is the asymptotic symmetry group of radiating asymptotically flat spacetimes. It has recently received renewed interest in the context of the flat holography and the infrared structure of…

High Energy Physics - Theory · Physics 2020-09-07 Romain Ruzziconi

We consider three dimensional $N=4$ flat supergravity, with an abelian R-symmetry enhancing the gravitational phase space. We obtain the field configuration whose asymptotic symmetries at null infinity coincide with the centrally extended…

High Energy Physics - Theory · Physics 2018-01-09 Nabamita Banerjee , Ivano Lodato , Turmoli Neogi

We extend the restricted phase space formalism for spherically symmetric black hole solutions of Einstein-Maxwell theory to the quasi-local regime, with the static observers located at a finite radial distance. The first law and Euler…

General Relativity and Quantum Cosmology · Physics 2026-05-11 Bai-Hao Huang , Liu Zhao

We study gravitational radiation for a positive value of the cosmological constant $\Lambda$. We rely on two battle-tested procedures: (i) We start from the same null coordinate system used by Bondi and Sachs for $\Lambda = 0$, but,…

General Relativity and Quantum Cosmology · Physics 2023-09-11 Béatrice Bonga , Claudio Bunster , Alfredo Pérez

In this brief note, we show that the residual symmetries that arise in the analysis of the tensionless superstrings in the equivalent of the conformal gauge is (a trivial extension of) the recently discovered 3d Super Bondi-Metzner-Sachs…

High Energy Physics - Theory · Physics 2016-11-23 Arjun Bagchi , Shankhadeep Chakrabortty , Pulastya Parekh

For spaces which are not asymptotically anti-de Sitter where the asymptotic behavior is deformed by replacing the cosmological constant by a dilaton scalar potential, we show that it is possible to have well-defined boundary stress-energy…

High Energy Physics - Theory · Physics 2009-10-31 Rong-Gen Cai , Nobuyoshi Ohta

We analyze the asymptotic symmetries and their associated charges at spatial infinity in $4$-dimensional asymptotically-flat spacetimes. We use the covariant formalism of Ashtekar and Hansen where the asymptotic fields and symmetries live…

General Relativity and Quantum Cosmology · Physics 2020-08-05 Kartik Prabhu , Ibrahim Shehzad

A field theory on a three-dimensional manifold is introduced, whose field equations are the constraint equations for general relativity on a three-dimensional null hypersurface. The underlying boundary action consists of two copies of the…

General Relativity and Quantum Cosmology · Physics 2019-12-23 Wolfgang Wieland

We consider the question whether a static potential on an asymptotically flat 3-manifold can have nonempty zero set which extends to the infinity. We prove that this does not occur if the metric is asymptotically Schwarzschild with nonzero…

Differential Geometry · Mathematics 2015-10-28 Pengzi Miao , Luen-fai Tam

We establish that boundary degrees of freedom associated with a generic co-dimension one null surface in $D$ dimensional pure Einstein gravity naturally admit a thermodynamical description. We expect the $\textit{null surface…

High Energy Physics - Theory · Physics 2022-03-23 H. Adami , M. M. Sheikh-Jabbari , V. Taghiloo , H. Yavartanoo

We present a comprehensive non-perturbative study of the phase structure of the asymptotically safe Standard Model. The physics scales included range from the asymptotically safe trans-Planckian regime in the ultraviolet, the intermediate…

High Energy Physics - Theory · Physics 2023-09-20 Álvaro Pastor-Gutiérrez , Jan M. Pawlowski , Manuel Reichert

A quantum theory of asymptotically flat space-times is presented using the solutions of the Null Surface Formulation (NSF) field equations in a perturbative scheme. Free-field commutation relations are given for the null free data of NSF at…

High Energy Physics - Theory · Physics 2025-06-30 Carlos N. Kozameh , Lautaro Zapata-Altuna

The asymptotic symmetry analysis of Maxwell theory at spatial infinity of Minkowski space with $d\geq 3$ is performed. We revisit the action principle in de Sitter slicing and make it well-defined by an asymptotic gauge fixing. In…

High Energy Physics - Theory · Physics 2020-01-08 Erfan Esmaeili

Four-dimensional asymptotically flat spacetimes have been central to recent developments in infrared physics. Gravitational waves reaching the asymptotic boundary reveal an infinite-dimensional symmetry group known as the…

General Relativity and Quantum Cosmology · Physics 2025-12-19 Florian Girelli , Jianhui Qiu , Céline Zwikel

Boundaries in gauge theory and gravity give rise to symmetries and charges at both finite and asymptotic distance. Due to their structural similarities, it is often held that soft modes are some kind of asymptotic limit of edge modes. Here,…

High Energy Physics - Theory · Physics 2025-08-29 Goncalo Araujo-Regado , Philipp A. Hoehn , Francesco Sartini , Bilyana Tomova
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