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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 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

We undertake a general study of the boundary (or edge) modes that arise in gauge and gravitational theories defined on a space with boundary, either asymptotic or at finite distance, focusing on efficient techniques for computing the…

High Energy Physics - Theory · Physics 2023-05-17 Seolhwa Kim , Per Kraus , Richard M. Myers

Under suitable assumptions on the boundary conditions, it is shown that there is a bijective correspondence between equivalence classes of asymptotic reducibility parameters and asymptotically conserved n-2 forms in the context of…

High Energy Physics - Theory · Physics 2011-07-19 Glenn Barnich , Friedemann Brandt

We discuss two dimensional string theories containing gauge fields introduced either via coupling to open strings, in which case we get a Born-Infeld type action, or via heterotic compactification. The solutions to the modified background…

High Energy Physics - Theory · Physics 2011-07-19 Michael D. McGuigan , Chiara R. Nappi , Scott A. Yost

The connection between bulk and boundary thermodynamics in Einstein-Maxwell theory is well established using AdS/CFT correspondence. In the context of general higher derivative gravity coupled to a U(1) gauge field, we examine the…

High Energy Physics - Theory · Physics 2024-05-08 Gurmeet Singh Punia

The free graviton theory given by linearising Einstein's theory has a dual formulation in terms of a dual graviton field. The dual graviton theory has two gauge invariances giving rise to two conserved charges, while the ADM charges of the…

High Energy Physics - Theory · Physics 2025-08-07 Chris Hull , Ulf Lindström , Maxwell L. Velásquez Cotini Hutt

The gravitational charge algebra of generic asymptotically locally (A)dS spacetimes is derived in $n$ dimensions. The analysis is performed in the Starobinsky/Fefferman-Graham gauge, without assuming any further boundary condition than the…

High Energy Physics - Theory · Physics 2023-01-11 Adrien Fiorucci , Romain Ruzziconi

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 variational problem of gravity theories is directly related to black hole thermodynamics. For asymptotically locally AdS backgrounds it is known that holographic renormalization results in a variational principle in terms of equivalence…

High Energy Physics - Theory · Physics 2016-04-20 Ok Song An , Mirjam Cvetič , Ioannis Papadimitriou

An interesting question is to characterize the general class of allowed boundary conditions for gauge theories, including gravity, at spatial and null infinity. This has played a role in discussions of soft charges, where antipodal symmetry…

High Energy Physics - Theory · Physics 2020-01-08 Steven B. Giddings

Mass and other conserved Noether charges are discussed for solutions of gravity theories with locally Anti-de Sitter asymptotics in 2n dimensions. The action is supplemented with a boundary term whose purpose is to guarantee that it reaches…

High Energy Physics - Theory · Physics 2009-10-31 Rodrigo Aros , Mauricio Contreras , Rodrigo Olea , Ricardo Troncoso , Jorge Zanelli

In all 2d theories of gravity a conservation law connects the (space-time dependent) mass aspect function at all times and all radii with an integral of the matter fields. It depends on an arbitrary constant which may be interpreted as…

General Relativity and Quantum Cosmology · Physics 2014-11-17 D. Grumiller , W. Kummer

We first recall a covariant formalism used to compute conserved charges in gauge invariant theories. We then study the case of gravity for two different boundary conditions, namely spatial infinity and a Brane-World boundary. The new…

High Energy Physics - Theory · Physics 2007-05-23 Sebastian Silva

We present the Lagrangian whose corresponding action is the trace K action for General Relativity. Although this Lagrangian is second order in the derivatives, it has no second order time derivatives and its behaviour at space infinity in…

General Relativity and Quantum Cosmology · Physics 2014-11-17 J. M. Pons

We construct the first binary black hole solutions of Einstein-Maxwell theory in asymptotically anti-de Sitter space. The attractive force between the two black holes is balanced by the addition of a background electric field, sourced at…

High Energy Physics - Theory · Physics 2025-06-09 William D. Biggs , Jorge E. Santos

We propose an integral formulation of the equations of motion of a large class of field theories which leads in a quite natural and direct way to the construction of conservation laws. The approach is based on generalized non-abelian Stokes…

High Energy Physics - Theory · Physics 2015-05-30 L. A. Ferreira , G. Luchini

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

We study some of the novel properties of conformal field theories with noncompact target spaces as applied to string theory. Standard CFT results get corrected by boundary terms in the target space in a way consistent with the expected…

High Energy Physics - Theory · Physics 2009-11-07 Per Kraus , Anton Ryzhov , Masaki Shigemori

We derive formulas for variations of mass, angular momentum and canonical energy in Einstein (n-2)-gauge form field theory by means of the ADM formalism. Considering the initial data for the manifold with an interior boundary which has the…

High Energy Physics - Theory · Physics 2009-11-11 Marek Rogatko
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