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Related papers: Covariant Charges in Chern-Simons AdS_3 Gravity

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The covariant canonical expression for the conserved charges, proposed by Nester, is tested on several solutions in 3D gravity with or without torsion and topologically massive gravity. In each of these cases, the calculated values of…

General Relativity and Quantum Cosmology · Physics 2010-06-11 M. Blagojević , B. Cvetković

We address some issues in higher-derivative gauged supergravity with Chern-Simons terms, focusing on the five-dimensional case. We discuss the variational problem with Dirichlet boundary conditions as well as holographic renormalization in…

High Energy Physics - Theory · Physics 2023-07-26 Davide Cassani , Alejandro Ruipérez , Enrico Turetta

Starting from the SO(2,2n) Chern-Simons form in (2n+1) dimensions we calculate the variation of conserved quantities in Lovelock gravity and Lovelock-Maxwell gravity through the covariant formalism developed in gr-qc/0305047. Despite the…

General Relativity and Quantum Cosmology · Physics 2014-11-17 G. Allemandi , M. Francaviglia , M. Raiteri

This paper deals with the problem of defining off-shell conserved charges in a set of theories known as Chern-Simons-like theories of gravity (CSLTG). The method is derived in a general way, which may find applications in a wide set of…

High Energy Physics - Theory · Physics 2017-11-22 M. R. Setare , H. Adami

In any generally covariant theory of gravity, we show the relationship between the linearized asymptotically conserved current and its non-linear completion through the identically conserved current. Our formulation for conserved charges is…

High Energy Physics - Theory · Physics 2014-07-10 Wontae Kim , Shailesh Kulkarni , Sang-Heon Yi

In the first order formalism of gravity theories, there are some theories which are not Lorentz-diffeomorphism covariant. In the framework of such theories we cannot apply the method of conserved charge calculation used in…

High Energy Physics - Theory · Physics 2015-12-09 M. R. Setare , H. Adami

A construction of conservation laws and conserved quantities for perturbations in arbitrary metric theories of gravity is developed. In an arbitrary field theory, with the use of incorporating an auxiliary metric into the initial Lagrangian…

General Relativity and Quantum Cosmology · Physics 2013-07-02 Alexander N. Petrov , Robert R. Lompay

We extend our recent work on the quasilocal formulation of conserved charges to a theory of gravity containing a gravitational Chern-Simons term. As an application of our formulation, we compute the off-shell potential and quasilocal…

High Energy Physics - Theory · Physics 2013-12-16 Wontae Kim , Shailesh Kulkarni , Sang-Heon Yi

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

We propose a new "Hamiltonian inspired" covariant formula to define (without harmful ambiguities) the superpotential and the physical charges associated to a gauge symmetry. The criterion requires the variation of the Noether current not to…

High Energy Physics - Theory · Physics 2009-10-31 S. Silva

We review the Lagrangian formulation of Noether symmetries (as well as "generalized Noether symmetries") in the framework of Calculus of Variations in Jet Bundles, with a special attention to so-called "Natural Theories" and "Gauge-Natural…

General Relativity and Quantum Cosmology · Physics 2010-01-19 L. Fatibene , M. Francaviglia , S. Mercadante

Restricting the covariant gravitational phase spaces to the manifold of parametrized families of solutions, the mass, angular momenta, entropies, and electric charges can be calculated by a single and simple method. In this method, which…

High Energy Physics - Theory · Physics 2016-12-28 M. Ghodrati , K. Hajian , M. R. Setare

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 provide a general formulation for calculating conserved charges for solutions to generally covariant gravitational theories with possibly other internal gauge symmetries, in any dimensions and with generic asymptotic behaviors. These…

High Energy Physics - Theory · Physics 2024-07-19 K. Hajian , M. M. Sheikh-Jabbari

This paper analyses the Noether symmetries and the corresponding conservation laws for Chern-Simons Lagrangians in dimension $d=3$. In particular, we find an expression for the superpotential of Chern-Simons gravity. As a by-product the…

High Energy Physics - Theory · Physics 2008-11-26 A. Borowiec , M. Ferraris , M. Francaviglia

We examine various methods of constructing conserved quantities in the Teleparallel Equivalent of General Relativity (TEGR). We demonstrate that in the covariant formulation the preferred method are the Noether charges that are true…

General Relativity and Quantum Cosmology · Physics 2021-09-17 E. D. Emtsova , M. Krššák , A. N. Petrov , A. V. Toporensky

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

There exist instances of dynamical systems possessing symmetry transformations of which the conserved Noether charges generating these symmetries feature an explicit time dependence in their functional representation over phase space. The…

High Energy Physics - Theory · Physics 2019-07-02 Jan Govaerts

Recent work has shown that the addition of an appropriate covariant boundary term to the gravitational action yields a well-defined variational principle for asymptotically flat spacetimes and thus leads to a natural definition of conserved…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Robert B. Mann , Donald Marolf , Amitabh Virmani

The covariant Noether charge formalism (also known as the covariant phase method) of Wald and collaborators, including its cohomological extension, is a manifestly covariant Hamiltonian formalism that, in principle, allows one to define and…

High Energy Physics - Theory · Physics 2019-12-04 Óscar J. C. Dias , Gavin S. Hartnett , Jorge E. Santos
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