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We study asymptotically flat space-times in 3 dimensions for Einstein gravity near future null infinity and show that the boundary is described by Carrollian geometry. This is used to add sources to the BMS gauge corresponding to a…

High Energy Physics - Theory · Physics 2017-01-06 Jelle Hartong

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

For complete spin initial data sets with an asymptotically anti--de Sitter end, we introduce a charged energy--momentum defined as a linear functional arising from the Einstein--Maxwell constraints. Under a dominant energy condition adapted…

Differential Geometry · Mathematics 2026-01-21 Simon Raulot

The requirements of conformal invariance for the two point function of the energy momentum tensor in the neighbourhood of a plane boundary are investigated, restricting the conformal group to those transformations leaving the boundary…

High Energy Physics - Theory · Physics 2009-10-22 D. M. McAvity , H. Osborn

This is the first of three papers on the short-distance properties of the energy-momentum tensor in field theory. We study the energy-momentum tensor for renormalized field theory in curved space. We postulate an exact Ward identity of the…

High Energy Physics - Theory · Physics 2007-05-23 Hidenori Sonoda

We argue that already at classical level the energy-momentum tensor for a scalar field on manifolds with boundaries in addition to the bulk part contains a contribution located on the boundary. Using the standard variational procedure for…

High Energy Physics - Theory · Physics 2009-11-10 Aram A. Saharian

A major issue in general relativity, from its earliest days to the present, is how to extract physical information from any solution or class of solutions to the Einstein equations. Though certain information can be obtained for arbitrary…

General Relativity and Quantum Cosmology · Physics 2008-11-26 C. Kozameh , E. T. Newman , G. Silva-Ortigoza

In this paper, we define an energy-momentum vector at the spatial infinity of either asymptotically flat or asymptotically hyperbolic initial data sets carrying a non-compact boundary. Under suitable dominant energy conditions (DECs)…

Differential Geometry · Mathematics 2021-03-11 Sergio Almaraz , Levi Lopes de Lima , Luciano Mari

We reexamine the energy-momentum tensor in classical electrodynamics from the perspective of spacetime-dependent translations, i.e., diffeomorphism invariance in flat spacetime. When energy-momentum is identified through local translations…

High Energy Physics - Theory · Physics 2026-01-26 Taeseung Choi

This work considers positive energy theorems in asymptotically, locally AdS spacetimes. Particular attention is given to spacetimes where conformal infinity has compact, Einstein cross-sections admitting Killing or parallel spinors; a…

General Relativity and Quantum Cosmology · Physics 2025-12-19 Virinchi Rallabhandi

A new local, covariant ``counter-term'' is used to construct a variational principle for asymptotically flat spacetimes in any spacetime dimension $ d \ge 4$. The new counter-term makes direct contact with more familiar background…

High Energy Physics - Theory · Physics 2009-11-11 Robert B. Mann , Donald Marolf

The energy-momentum tensor for a massless conformally coupled scalar field in the region between two curved boundaries in $k=-1$ static Robertson--Walker spacetime is investigated. We assume that the scalar field satisfies the Dirichlet…

High Energy Physics - Theory · Physics 2009-08-21 M R Setare , J Sadeghi

We present an explicit momentum space computation of the four-point function of the energy-momentum tensor in 4 spacetime dimensions for the free and conformally invariant theory of a scalar field. The result is obtained by explicit…

High Energy Physics - Theory · Physics 2020-08-26 Mirko Serino

In a previous paper, field theory in curved space was considered, and a formula that expresses the first order variation of correlation functions with respect to the external metric was postulated. The formula is given as an integral of the…

High Energy Physics - Theory · Physics 2007-05-23 Hidenori Sonoda

We explore an unusual symmetry in a field theory on a specific (1+1)-dimensional curved spacetime, which has an interesting interpretation as an approximate asymptotic Weyl symmetry. Unlike the conventional Weyl symmetry, the boundary term…

High Energy Physics - Theory · Physics 2025-12-09 Jeongwon Ho , O-Kab Kwon , Sang-A Park , Sang-Heon Yi

Using the Brown-York prescription for the definition of quasilocal gravitational energy-momentum tensor on a boundary and also complete canonical structure on a null boundary which has been found recently \cite{Aghapour:2018icu}, we propose…

High Energy Physics - Theory · Physics 2019-05-22 Ghadir Jafari

We compute the boundary stress tensor associated with Mann-Marolf counterterm in asymptotic flat and static spacetime for cylindrical boundary surface as $r \rightarrow \infty$, and find that the form of the boundary stress tensor is the…

High Energy Physics - Theory · Physics 2013-06-06 Miok Park , Robert B. Mann

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

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

A finite action principle for Einstein-Gauss-Bonnet AdS gravity is presented. The boundary term, which is different for even and odd dimensions, is a functional of the boundary metric, intrinsic curvature and extrinsic curvature. For even…

High Energy Physics - Theory · Physics 2009-11-11 Georgios Kofinas , Rodrigo Olea
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