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We investigate a recent proposal for defining a conserved mass in asymptotically de Sitter spacetimes that is based on a conjectured holographic duality between such spacetimes and Euclidean conformal field theory. We show that an algorithm…

高能物理 - 理论 · 物理学 2007-05-23 A. M. Ghezelbash , R. B. Mann

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…

高能物理 - 理论 · 物理学 2019-02-20 Emel Altas , Bayram Tekin

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…

高能物理 - 理论 · 物理学 2013-06-06 Miok Park , Robert B. Mann

Four-dimensional asymptotically flat spacetimes at spatial infinity are defined from first principles without imposing parity conditions or restrictions on the Weyl tensor. The Einstein-Hilbert action is shown to be a correct variational…

高能物理 - 理论 · 物理学 2015-05-28 Geoffrey Compère , François Dehouck

We extend the Abbott-Deser-Tekin procedure of defining conserved quantities of asymptotically constant-curvature spacetimes, and give an analogous expression for the conserved charges of geometries that are solutions of quadratic curvature…

高能物理 - 理论 · 物理学 2011-02-25 Deniz Olgu Devecioglu , Ozgur Sarioglu

A background-independent, Lorentz-covariant approach to compute conserved charges in odd-dimensional AdS gravity, alternative to the standard counterterms method, is presented. A set of boundary conditions on the asymptotic extrinsic and…

高能物理 - 理论 · 物理学 2007-05-23 P. Mora , R. Olea , R. Troncoso , J. Zanelli

We revisit the Dirac-Born-Infeld--like boundary counter-term for four dimensional theory of gravity. We show that it correctly executes complete background subtraction for both asymptotically AdS and asymptotically flat geometries. With an…

高能物理 - 理论 · 物理学 2023-08-23 Dileep P. Jatkar , Upamanyu Moitra

We provide a simple method to compute the energy in higher curvature gravity in asymptotically AdS spacetimes in even dimensions. It follows from the combined use of topological terms added to the gravity action, and the Wald charges…

高能物理 - 理论 · 物理学 2020-03-25 Gaston Giribet , Olivera Miskovic , Rodrigo Olea , David Rivera-Betancour

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…

高能物理 - 理论 · 物理学 2010-10-27 Rodrigo Olea

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…

广义相对论与量子宇宙学 · 物理学 2009-11-19 Kentaro Tanabe , Norihiro Tanahashi , Tetsuya Shiromizu

Asymptotically anti-de Sitter space-times are considered in a general dimension $d\ge 4$. As one might expect, the boundary conditions at infinity ensure that the asymptotic symmetry group is the anti-de Sitter group (although there is an…

高能物理 - 理论 · 物理学 2010-04-06 Abhay Ashtekar , Saurya Das

Using the Wald formalism, we investigate the thermodynamics of charged black holes in D-dimensional stationary spacetimes with or without rotations in Einstein-\ae ther-Maxwell theory. In particular, assuming the existence of a scaling…

广义相对论与量子宇宙学 · 物理学 2018-06-29 Fei-hung Ho , Shao-Jun Zhang , Hai-Shan Liu , Anzhong Wang

It is argued that the symmetry algebra of asymptotically flat spacetimes at null infinity in 4 dimensions should be taken as the semi-direct sum of supertranslations with infinitesimal local conformal transformations and not, as usually…

广义相对论与量子宇宙学 · 物理学 2014-11-20 Glenn Barnich , Cedric Troessaert

We consider the thermodynamic properties of $(d+1)$-dimensional spacetimes with NUT charges. Such spacetimes are asymptotically locally anti de Sitter (or flat), with non-trivial topology in their spatial sections, and can have fixed point…

高能物理 - 理论 · 物理学 2010-04-05 R. Clarkson , L. Fatibene , R. B. Mann

By assuming a certain localized energy estimate, we prove the existence portion of the Strauss conjecture on asymptotically flat manifolds, possibly exterior to a compact domain, when the spatial dimension is 3 or 4. In particular, this…

偏微分方程分析 · 数学 2018-02-13 Jason Metcalfe , Chengbo Wang

The effective action for quantum fields on a $d$-dimensional spacetime can be computed using a non local expansion in powers of the curvature. We show explicitly that, for conformal fields and up to quadratic order in the curvature, the non…

高能物理 - 理论 · 物理学 2009-10-31 Ezequiel Alvarez , Francisco D. Mazzitelli

We numerically simulate gravitational collapse in asymptotically anti-de Sitter spacetimes away from spherical symmetry. Starting from initial data sourced by a massless real scalar field, we solve the Einstein equations with a negative…

高能物理 - 理论 · 物理学 2017-11-08 Hans Bantilan , Pau Figueras , Markus Kunesch , Paul Romatschke

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…

高能物理 - 理论 · 物理学 2019-11-28 Hamed Adami , Mohammad Reza Setare , Tahsin Cagri Sisman , Bayram Tekin

We define spacetimes that are asymptotically flat, except for a deficit solid angle $\alpha$, and present a definition of their ``ADM'' mass, which is finite for this class of spacetimes, and, in particular, coincides with the value of the…

广义相对论与量子宇宙学 · 物理学 2009-10-28 Ulises Nucamendi , Daniel Sudarsky

We propose to compute the action and global charges of the asymptotically de Sitter solutions in Einstein-Gauss-Bonnet theory by using the counterterms method in conjunction with the quasilocal formalism. The general expression of the…

广义相对论与量子宇宙学 · 物理学 2009-12-04 Y. Brihaye , E. Radu