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We formulate new boundary conditions that prove well defined variational principle and finite response functions for conformal gravity (CG). In the Anti--de Sitter/conformal field theory framework, gravity theory that is considered in the…

High Energy Physics - Theory · Physics 2016-12-30 I. Lovrekovic

We revisit the status of asymptotic symmetries in higher even dimensions and propose a definition of superrotation charge beyond linearized gravity. We prove that there is a well-defined spacetime action of the superrotation charge on the…

High Energy Physics - Theory · Physics 2023-01-11 Chandramouli Chowdhury , Anupam A. H. , Arpan Kundu

We construct the conserved charges (mass and angular momentum) of the Chern-Simons modified General Relativity in asymptotically flat and Anti-de Sitter (AdS) spacetimes. Our definition is based on background Killing symmetries and reduces…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Bayram Tekin

This paper studies the reduced phase space formulation (relational formalism) of gravity coupling to the Brown-Kucha\v r dust for asymptotic flat spacetimes. A set of boundary conditions for the asymptotic flatness are formulated for Dirac…

General Relativity and Quantum Cosmology · Physics 2023-09-08 Muxin Han , Zichang Huang , Hongwei Tan

This is a review of selected topics from recent work on symmetry charges in asymptotically flat spacetime done by the author in collaboration with U. Kol and R. Javadinezhad. First we reinterpret the reality constraint on the boundary…

High Energy Physics - Theory · Physics 2021-08-18 M. Porrati

Boundary charges in gauge theories (like the ADM mass in general relativity) can be understood as integrals of linear conserved n-2 forms of the free theory obtained by linearization around the background. These forms are associated…

High Energy Physics - Theory · Physics 2009-11-10 Glenn Barnich

In order to illustrate a recently derived covariant formalism for computing asymptotic symmetries and asymptotically conserved superpotentials in gauge theories, the case of gravity with minimally coupled scalar fields is considered and the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Glenn Barnich

Using the expressions for generalized ADT current and potential in a self consistent manner, we derive the asymptotic symmetry algebra on AdS$_3$ and the near horizon extremal BTZ spacetimes. The structure of symmetry algebra among the…

High Energy Physics - Theory · Physics 2021-09-24 Shailesh Kulkarni

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

The recent introduction of a boundary stress tensor for asymptotically flat spacetimes enabled a new construction of energy, momentum, and Lorentz charges. These charges are known to generate the asymptotic symmetries of the theory, but…

High Energy Physics - Theory · Physics 2008-11-26 Robert B. Mann , Donald Marolf , Robert McNees , Amitabh Virmani

We give a new construction of conserved charges in asymptotically anti-de Sitter spacetimes in Einstein's gravity. The new formula is explicitly gauge-invariant and makes direct use of the linearized curvature tensor instead of the metric…

High Energy Physics - Theory · Physics 2019-02-20 Emel Altas , Bayram Tekin

We provide new formulas for the energy of black hole solutions in the anti-de Sitter (AdS) sector of a generic gravity theory with curvature-squared terms. This is achieved by the addition of counterterms of the extrinsic type…

High Energy Physics - Theory · Physics 2022-09-07 Olivera Miskovic , Rodrigo Olea , Yoel Parra-Cisterna

Since the proposal of the AdS/CFT correspondence, made by Maldacena and Witten, there has been some controversy about the definition of conserved Noether charges associated to asymptotic isometries in asymptotically AdS spacetimes, namely,…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Pedro Lauridsen Ribeiro

Mass and other conserved Noether charges are discussed for solutions of gravity theories with locally Anti-de Sitter asymptotics in 2n dimensions. The action is supplemented with a boundary term whose purpose is to guarantee that it reaches…

High Energy Physics - Theory · Physics 2009-10-31 Rodrigo Aros , Mauricio Contreras , Rodrigo Olea , Ricardo Troncoso , Jorge Zanelli

We construct charges for four-dimensional spacetimes with a non-vanishing cosmological constant, including charges that are not conserved because of a leaky boundary and charges associated with corner terms in the symplectic current. The…

High Energy Physics - Theory · Physics 2025-12-04 Robert McNees , Céline Zwikel

As an alternative to the Dirichlet counterterms prescription, I introduce the concept of Kounterterms as the boundary terms with explicit dependence on the extrinsic curvature K_{ij} that regularize the AdS gravity action. Instead of a…

High Energy Physics - Theory · Physics 2010-10-27 Rodrigo Olea

The mapping between bulk supergravity fields in anti-de Sitter space and operators in the dual boundary conformal field theory usually relies heavily on the available global symmetries. In the present work, we study a generalization of this…

High Energy Physics - Theory · Physics 2009-01-01 David A Lowe , Shubho Roy

A variational principle is constructed for gravity coupled to an asymptotically linear dilaton and a p-form field strength. This requires the introduction of appropriate surface terms -- also known as `boundary counterterms' -- in the…

High Energy Physics - Theory · Physics 2011-08-03 Robert B. Mann , Robert McNees

Motivated by the apparent dependence of string $\sigma$--models on the sum of spacetime metric and antisymmetric tensor fields, we reconsider gravity theories constructed from a nonsymmetric metric. We first show that all such "geometrical"…

General Relativity and Quantum Cosmology · Physics 2008-11-26 T. Damour , S. Deser , J. McCarthy

Based on the recent paper hep-th/0503045, we derive a formula of calculating conserved charges in even dimensional asymptotically {\it locally} anti-de Sitter space-times by using the definition of Wald and Zoupas. This formula generalizes…

High Energy Physics - Theory · Physics 2008-11-26 Rong-Gen Cai , Li-Ming Cao