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In order to get a better understanding of holographic properties of gravitational theories with a vanishing cosmological constant, we analyze in detail the relation between asymptotically anti-de Sitter and asymptotically flat spacetimes in…

General Relativity and Quantum Cosmology · Physics 2013-05-30 Glenn Barnich , Andrés Gomberoff , Hernán A. González

In General Relativity, the issue of defining the gravitational energy contained in a given spatial region is still unresolved, except for particular cases of localized objects where the asymptotic flatness holds for a given spacetime. In…

General Relativity and Quantum Cosmology · Physics 2023-06-06 Salvatore Capozziello , Maurizio Capriolo , Gaetano Lambiase

These are the lectures notes of the course given at the Eleventh Modave Summer School in Mathematical Physics, 2015, aimed at PhD candidates and junior researchers in theoretical physics. We review in details the result of…

High Energy Physics - Theory · Physics 2016-03-01 Laura Donnay

2+1-dimensional Anti-deSitter gravity is quantized in the presence of an external scalar field. We find that the coupling between the scalar field and gravity is equivalently described by a perturbed conformal field theory at the boundary…

High Energy Physics - Theory · Physics 2009-10-31 Roberto Emparan , Ivo Sachs

Asymptotically anti-de Sitter space-times in pure gravity with negative cosmological constant are described, in all space-time dimensions greater than two, by classical degrees of freedom on the conformal boundary at space-like infinity.…

High Energy Physics - Theory · Physics 2009-10-31 K. Bautier , F. Englert , M. Rooman , Ph. Spindel

The defining properties of Yano tensors naturally generalize those of Killing vectors to anti-symmetric tensor fields of arbitrary rank. We show how the Yano tensors of flat spacetime can be used to construct new, conserved gravitational…

High Energy Physics - Theory · Physics 2010-02-03 David Kastor , Jennie Traschen

We generalize the local surface counterterm prescription suggested in Einstein gravity for higher derivative (HD) and Weyl gravities. Explicitly, the surface counterterm is found for three- and five-dimensional HD gravities. As a result,…

High Energy Physics - Theory · Physics 2009-09-17 Shin'ichi Nojiri , Sergei D. Odintsov

We sketch the main features of the Noether Symmetry Approach, a method to reduce and solve dynamics of physical systems by selecting Noether symmetries, which correspond to conserved quantities. Specifically, we take into account the…

General Relativity and Quantum Cosmology · Physics 2023-08-24 Francesco Bajardi , Salvatore Capozziello , Tiziana Di Salvo , Francesca Spinnato

We show that the recently proposed DBI extension of new massive gravity emerges naturally as a counterterm in AdS$_4$. The resulting on-shell Euclidean action is independent of the cut-off at zero temperature. We also find that the same…

High Energy Physics - Theory · Physics 2011-05-09 Dileep P. Jatkar , Aninda Sinha

Three dimensional Einstein gravity with negative cosmological constant -1/\ell^2 deformed by a gravitational Chern-Simons action with coefficient 1/\mu is studied in an asymptotically AdS_3 spacetime. It is argued to violate unitary or…

High Energy Physics - Theory · Physics 2010-04-06 Wei Li , Wei Song , Andrew Strominger

We study asymptotic symmetry algebras for classes of three dimensional supergravities with and without cosmological constant. In the first part we generalise some of the non-Dirichlet boundary conditions of $AdS_3$ gravity to extended…

High Energy Physics - Theory · Physics 2018-09-05 Rohan R. Poojary , Nemani V. Suryanarayana

We study 3-dimensional gravity on a spacetime bounded by a generic 2-dimensional causal surface. We review the solution phase space specified by 4 generic functions over the causal boundary, construct the symplectic form over the solution…

High Energy Physics - Theory · Physics 2023-07-26 H. Adami , A. Parvizi , M. M. Sheikh-Jabbari , V. Taghiloo , H. Yavartanoo

The purpose of this article is to compute the asymptotic charges of a vacuum solution to the Einstein field equations describing a naked singularity with a non-vanishing quadrupole moment, known in the literature as the Zipoy-Voorhees…

General Relativity and Quantum Cosmology · Physics 2026-05-15 Edgar Gasperin , Mariem Magdy

Using the {\it off-shell} Noether current and potential we compute the entropy for the AdS black holes in new massive gravity. For the non-extremal BTZ black holes by implementing the so-called stretched horizon approach we reproduce the…

High Energy Physics - Theory · Physics 2013-05-16 Wontae Kim , Shailesh Kulkarni , Sang-Heon Yi

The divergences of the gravitational action are analyzed for spacetimes that are asymptotically anti-de Sitter and asymptotically flat. The gravitational action is rendered finite using a local counterterm prescription, and the relation of…

High Energy Physics - Theory · Physics 2009-10-31 Per Kraus , Finn Larsen , Ruud Siebelink

We propose a version of the Weak Gravity Conjecture that applies to AdS spacetime. We find that the condition on the charge-to-mass ratio of a charged particle in AdS$_D$ spacetime is corrected compared to the one in Minkowski spacetime by…

High Energy Physics - Theory · Physics 2025-05-15 Puxin Lin , Alessandro Mininno , Gary Shiu

A decade ago, a Lagrangian density has been proposed by the author where only the local symmetries of the Lorentz subgroup of (A)ds group is retained. This formalism has been found to produce some results encompassing that of standard…

General Relativity and Quantum Cosmology · Physics 2012-09-25 Prasanta Mahato

Recent derivations of Cardy-like formulae in higher dimensional field theories have opened up a way of computing, via AdS/CFT, universal contributions to black hole entropy from gravitational Chern-Simons terms. Based on the manifestly…

High Energy Physics - Theory · Physics 2015-10-28 Tatsuo Azeyanagi , R. Loganayagam , Gim Seng Ng

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

We derive the field equations for topologically massive gravity coupled with the most general quadratic curvature terms using the language of exterior differential forms and a first order constrained variational principle. We find…

General Relativity and Quantum Cosmology · Physics 2016-09-28 T. Dereli , C. Yetismisoglu
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