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We give a detailed review of construction of conserved quantities in extended theories of gravity for asymptotically maximally symmetric spacetimes and carry out explicit computations for various solutions. Our construction is based on the…

High Energy Physics - Theory · Physics 2019-11-28 Hamed Adami , Mohammad Reza Setare , Tahsin Cagri Sisman , Bayram Tekin

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

The calculation of conserved charges of black holes is a rich problem, for which many methods are known. Until recently, there was some controversy on the proper definition of conserved charges in asymptotically anti-de Sitter (AdS) spaces…

General Relativity and Quantum Cosmology · Physics 2008-12-18 Ella Jamsin

In IIB string theory on AdS$_3$ background with NS-NS fluxes, we show that Brown-Henneaux asymptotic Killing vectors can be derived by requiring both the worldsheet equations of motion and Virasoro constraints are preserved near the…

High Energy Physics - Theory · Physics 2024-03-28 Zhengyuan Du , Kangning Liu , Wei Song

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

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 consider asymptotically anti-de Sitter spacetimes in three-dimensional topologically massive gravity with a negative cosmological constant, for all values of the mass parameter $\mu$ ($\mu\neq0$). We provide consistent boundary…

High Energy Physics - Theory · Physics 2009-08-03 Marc Henneaux , Cristian Martinez , Ricardo Troncoso

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

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

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

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

For spacetimes that are not asymptotic to anti-de Sitter Space (non AAdS), we adapt the Lewkowycz-Maldacena procedure to find the holographic entanglement entropy. The key observation, which to our knowledge is not very well appreciated, is…

High Energy Physics - Theory · Physics 2016-07-08 Wei Song , Qiang Wen , Jianfei Xu

The scalar, vector and tensor spherical harmonics on three-dimensional de Sitter spacetime are defined and analyzed. Each harmonic defines two sets of asymptotic data on the two sphere in the asymptotic expansion close to both the past and…

High Energy Physics - Theory · Physics 2026-04-21 Geoffrey Compère , Sébastien Robert

Unlike three-dimensional Einstein gravity, three-dimensional massive gravity admits asymptotically de Sitter space (dS) black hole solutions. These black holes present interesting features and provide us with toy models to study the dS/CFT…

High Energy Physics - Theory · Physics 2015-06-17 Sophie de Buyl , Stephane Detournay , Gaston Giribet , Gim Seng Ng

The asymptotic structure of AdS spacetimes in the context of General Relativity coupled to the Maxwell field in three spacetime dimensions is analyzed. Although the fall-off of the fields is relaxed with respect to that of Brown and…

High Energy Physics - Theory · Physics 2016-03-23 Alfredo Perez , Miguel Riquelme , David Tempo , Ricardo Troncoso

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

In this paper, the effects of adding spatial conformal symmetry to the asymptotic symmetry group of an asymptotically conformally flat spacetime are studied. It is shown that, in addition to the BMS group, only the dilations of the spatial…

General Relativity and Quantum Cosmology · Physics 2019-12-24 Sepideh Bakhoda , Fatemeh Mahdieh , Hossein Shojaie

Boundary conformal field theories have several additional terms in the trace anomaly of the stress tensor associated purely with the boundary. We constrain the corresponding boundary central charges in three- and four-dimensional conformal…

High Energy Physics - Theory · Physics 2018-01-10 Christopher Herzog , Kuo-Wei Huang , Kristan Jensen

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

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