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We consider conformal gravity boundary conditions and outline the highest dimensional non-trivial asymptotic symmetry algebras of conformal gravity. The highest among them is five dimensional and leads to a global geon solution.

High Energy Physics - Theory · Physics 2017-09-26 I. Lovrekovic

Motivated by connections with observable phenomena, in particular with soft factorization theorems for scattering amplitudes and with memory effects, renewed interest has been recently shown in the subject of asymptotic symmetries at null…

High Energy Physics - Theory · Physics 2019-11-28 Carlo Heissenberg

We show that the asymptotic charges associated with Lorentz symmetries on past and future null infinity match in the limit to spatial infinity in a class of asymptotically-flat spacetimes. These are spacetimes that obey the Ashtekar-Hansen…

General Relativity and Quantum Cosmology · Physics 2022-08-08 Kartik Prabhu , Ibrahim Shehzad

The purpose of this note is to characterize the asymptotic dimension $asdim(X)$ of metric spaces $X$ in terms similar to Property A of Yu: If $(X,d)$ is a metric space and $n\ge 0$, then the following conditions are equivalent: [a.]…

Metric Geometry · Mathematics 2019-11-18 M. Cencelj , J. Dydak , A. Vavpetic

We propose a definition of asymptotic flatness at timelike infinity in four spacetime dimensions. We present a detailed study of the asymptotic equations of motion and the action of supertranslations on asymptotic fields. We show that the…

High Energy Physics - Theory · Physics 2022-02-15 Sumanta Chakraborty , Debodirna Ghosh , Sk Jahanur Hoque , Aniket Khairnar , Amitabh Virmani

A nonnegative number d_infinity, called asymptotic dimension, is associated with any metric space. Such number detects the asymptotic properties of the space (being zero on bounded metric spaces), fulfills the properties of a dimension, and…

Differential Geometry · Mathematics 2007-05-23 Daniele Guido , Tommaso Isola

This thesis is divided in two parts. The first part contains the study of some properties of the electromagnetic duality in 4 dimensions. An extended double potential formalism for linearized gravity is introduced which allows to write an…

High Energy Physics - Theory · Physics 2013-12-23 Cedric Troessaert

A construction of conformal infinity in null and spatial directions is constructed for the Rainbow-flat space-time corresponding to doubly special relativity. From this construction a definition of asymptotic DSRness is put forward which is…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Jonathan Hackett

We show that the symmetry algebra of asymptotically flat four dimensional spacetimes at null infinity in the sense of Newman and Unti is isomorphic to the direct sum of the abelian algebra of infinitesimal conformal rescalings with bms4. We…

General Relativity and Quantum Cosmology · Physics 2013-01-30 Glenn Barnich , Pierre-Henry Lambert

We show that the BMS-supertranslations and their associated supermomenta on past null infinity can be related to those on future null infinity, proving the conjecture of Strominger for a class of spacetimes which are asymptotically-flat in…

General Relativity and Quantum Cosmology · Physics 2019-04-02 Kartik Prabhu

Two different realizations of a symmetry principle that impose a zero cosmological constant in an extra-dimensional set-up are studied. The symmetry is identified by multiplication of the metric by minus one. In the first realization of the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Recai Erdem

The asymptotic symmetry group (ASG) at future null infinity (I^+) of four-dimensional de Sitter spacetimes is defined and shown to be given by the group of three-dimensional diffeomorphisms acting on I^+. Finite charges are constructed for…

General Relativity and Quantum Cosmology · Physics 2011-08-22 Dionysios Anninos , Gim Seng Ng , Andrew Strominger

We investigate the behavior of null geodesics near future null infinity in asymptotically flat spacetimes. In particular, we focus on the asymptotic behavior of null geodesics that correspond to worldlines of photons initially emitted in…

General Relativity and Quantum Cosmology · Physics 2021-09-13 Masaya Amo , Keisuke Izumi , Yoshimune Tomikawa , Hirotaka Yoshino , Tetsuya Shiromizu

We report that a class of three-dimensional bimetric theories contain asymptotically flat solutions. These spacetimes can be cast in a set of asymptotic conditions at null infinity which are preserved under the infinite dimensional BMS…

General Relativity and Quantum Cosmology · Physics 2015-06-05 Hernan A. Gonzalez , Miguel Pino

Asymptotic symmetries of electric and magnetic Carrollian gravitational theories with a negative cosmological constant $\Lambda$ are analyzed in 3+1 space-time dimensions. In the magnetic theory, the asymptotic symmetry algebra is given by…

High Energy Physics - Theory · Physics 2022-09-28 Alfredo Pérez

In this paper we investigate the manner in which the internal spin angular momentum of a spinor field is encoded in the gravitational field at asymptotic infinity. The inclusion of internal spin requires us to re-analyze our notion of…

General Relativity and Quantum Cosmology · Physics 2013-05-29 Andrew Randono , David Sloan

We study higher dimensional field theories with extra dimensions from a 4d spectrum point of view. It is shown that 4d mass spectra of spinor, gauge and gravity field theories are governed by quantum-mechanical supersymmetry. The 4d…

High Energy Physics - Theory · Physics 2012-01-13 Makoto Sakamoto

The asymptotic structure of gravity in $D=6$ spacetime dimensions is described at spatial infinity in the asymptotically flat context through Hamiltonian (ADM) methods. Special focus is given on the BMS supertranslation subgroup. It is…

High Energy Physics - Theory · Physics 2023-12-21 Oscar Fuentealba , Marc Henneaux

We develop the analysis of the asymptotic properties of gravity in higher spacetime dimensions $D$, with a particular emphasis on the case $D=5$. Our approach deals with spatial infinity and is Hamiltonian throughout. It is shown that the…

High Energy Physics - Theory · Physics 2022-08-10 Oscar Fuentealba , Marc Henneaux , Javier Matulich , Cédric Troessaert

The asymptotic structure of three-dimensional hypergravity without cosmological constant is analyzed. In the case of gravity minimally coupled to a spin-$5/2$ field, a consistent set of boundary conditions is proposed, being wide enough so…

High Energy Physics - Theory · Physics 2015-11-05 Oscar Fuentealba , Javier Matulich , Ricardo Troncoso