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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

We investigate the asymptotia of decelerating and spatially flat FLRW spacetimes at future null infinity. We find that the asymptotic algebra of diffeomorphisms can be enlarged to the recently discovered Weyl-BMS algebra for asymptotically…

General Relativity and Quantum Cosmology · Physics 2023-02-09 Martin Enriquez-Rojo , Till Heckelbacher , Roberto Oliveri

A new formula for the conserved charges in 3+1 gravity for spacetimes with local AdS asymptotic geometry is proposed. It is shown that requiring the action to have an extremum for this class of asymptotia sets the boundary term that must be…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Rodrigo Aros , Mauricio Contreras , Rodrigo Olea , Ricardo Troncoso , Jorge Zanelli

We consider asymtotically anti-de Sitter spacetimes in general dimensions. We review the origin of infrared divergences in the on-shell gravitational action, and the construction of the renormalized on-shell action by the addition of…

High Energy Physics - Theory · Physics 2015-06-25 Kostas Skenderis

Null infinity in asymptotically flat spacetimes posses a rich mathematical structure; including the BMS group and the Bondi news tensor that allow one to study gravitational radiation rigorously. However, FLRW spacetimes are not…

General Relativity and Quantum Cosmology · Physics 2020-11-17 Béatrice Bonga , Kartik Prabhu

We study asymptotic charges associated to a spin-zero analogue of Weinberg's soft photon and graviton theorems in even dimensions. Simple spacetime expressions for the charges are given, but unlike gravity or electrodynamics, the symmetry…

High Energy Physics - Theory · Physics 2018-03-21 Miguel Campiglia , Leonardo Coito

We compute the conserved charges associated with the asymptotic symmetries of massless particles by examining their free theory in Minkowski spacetime. We give a procedure to systematically deduce the fall off of the massless fields at…

High Energy Physics - Theory · Physics 2023-06-21 Kevin Nguyen , Peter West

In this paper we, first, generalize the quasilocal definition of the stress energy tensor of Einstein gravity to the case of Lovelock gravity, by introducing the tensorial form of surface terms that make the action well-defined. We also…

High Energy Physics - Theory · Physics 2009-11-11 M. H. Dehghani , N. Bostani , A. Sheykhi

We present strong evidence that the sub-subleading soft theorem in semi-classical (tree level) gravity discovered by Cachazo and Strominger is equivalent to the conservation of asymptotic charges associated to a new class of vector fields…

General Relativity and Quantum Cosmology · Physics 2017-02-01 Miguel Campiglia , Alok Laddha

We derive hamiltionian generators of asymptotic symmetries for general relativity with asymptotic AdS boundary conditions using the ``covariant phase space'' method of Wald et al. We then compare our results with other definitions that have…

High Energy Physics - Theory · Physics 2009-11-11 S. Hollands , A. Ishibashi , D. Marolf

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

The asymptotic symmetry algebra of four-dimensional Einstein gravity in the asymptotically flat context has been shown recently to be the direct sum of the Poincar\'e algebra and of an infinite-dimensional abelian algebra (with central…

High Energy Physics - Theory · Physics 2024-02-21 Oscar Fuentealba , Marc Henneaux , Cédric Troessaert

A definition of asymptotic flatness at spatial infinity in $d$ dimensions ($d\geq 4$) is given using the conformal completion approach. Then we discuss asymptotic symmetry and conserved quantities. As in four dimensions, in $d$ dimensions…

General Relativity and Quantum Cosmology · Physics 2009-11-19 Kentaro Tanabe , Norihiro Tanahashi , Tetsuya Shiromizu

Recent work has shown that the addition of an appropriate covariant boundary term to the gravitational action yields a well-defined variational principle for asymptotically flat spacetimes and thus leads to a natural definition of conserved…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Robert B. Mann , Donald Marolf , Amitabh Virmani

We further explore the counter-term subtraction definition of charges (e.g., energy) for classical gravitating theories in spacetimes of relevance to gauge/gravity dualities; i.e., in asymptotically anti-de Sitter spaces and their kin. In…

High Energy Physics - Theory · Physics 2011-07-19 S. Hollands , A. Ishibashi , D. Marolf

We propose novel asymptotically locally flat boundary conditions for Einstein Gravity without cosmological constant in four dimensions that are consistent with the variational principle. They allow for complex solutions that are…

High Energy Physics - Theory · Physics 2023-10-31 Nishant Gupta , Partha Paul , Nemani V. Suryanarayana

We study asymptotically flat spacetimes in five spacetime dimensions by Hamiltonian methods, focusing on spatial infinity and keeping all asymptotically relevant nonlinearities in the transformation laws and in the charge-generators.…

High Energy Physics - Theory · Physics 2022-02-16 Oscar Fuentealba , Marc Henneaux , Javier Matulich , Cédric Troessaert

We argue that a natural boundary condition for gravity in asymptotically AdS spaces is to hold the {\em renormalized} boundary stress tensor density fixed, instead of the boundary metric. This leads to a well-defined variational problem, as…

High Energy Physics - Theory · Physics 2016-12-28 Chethan Krishnan , Avinash Raju , P. N. Bala Subramanian

In this paper, we provide a comprehensive study of asymptotically flat spacetime in even dimensions $d\geq 4$. We analyze the most general boundary condition and asymptotic symmetry compatible with Penrose's definition of asymptotic null…

General Relativity and Quantum Cosmology · Physics 2024-10-18 Laurent Freidel , Aldo Riello

Within the framework of the Lovelock gravity theory, we propose a new rank-four divergenceless tensor consisting of the Riemann curvature tensor and inheriting its algebraic symmetry characters. Such a tensor can be adopted to define…

General Relativity and Quantum Cosmology · Physics 2023-05-23 Jun-Jin Peng , Hui-Fa Liu