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We calculate canonical charges in four dimensional conformal gravity using the generalised boundary conditions presented in \cite{Grumiller:2013mxa}. We show that the charges are finite and conserved. The asymptotic symmetry algebras…

High Energy Physics - Theory · Physics 2016-01-05 I. Lovrekovic

Boundary charges in gauge theories (like the ADM mass in general relativity) can be understood as integrals of linear conserved n-2 forms of the free theory obtained by linearization around the background. These forms are associated…

High Energy Physics - Theory · Physics 2009-11-10 Glenn Barnich

We consider 3D and 4D asymptotically flat spacetimes near future null infinity endowed with the most general allowed Carroll geometry. We define a boundary energy-momentum tensor by varying the on-shell action with respect to the Carroll…

High Energy Physics - Theory · Physics 2025-06-06 Jelle Hartong , Emil Have , Vijay Nenmeli , Gerben Oling

These lecture notes are a contribution to the proceedings of the school "Geometric, Algebraic and Topological Methods for Quantum Field Theory", held in Villa de Leyva, Colombia, from 31st of July to 9th of August 2023. Its intention is to…

High Energy Physics - Theory · Physics 2026-01-01 Marcela Cárdenas

Employing two classes of nonlinear electrodynamics, we obtain topological black hole solutions of Gauss-Bonnet gravity. We investigate geometric properties of the solutions and find that there is an intrinsic singularity at the origin. We…

General Relativity and Quantum Cosmology · Physics 2015-07-13 S. H. Hendi , S. Panahiyan , E. Mahmoudi

We reconsider formulating $D$ dimensional gauge theories, with the focus on the case of gravity theories, in spacetimes with boundaries. We extend covariant phase space formalism to the cases in which boundaries are allowed to fluctuate. We…

High Energy Physics - Theory · Physics 2024-07-04 H. Adami , M. Golshani , M. M. Sheikh-Jabbari , V. Taghiloo , M. H. Vahidinia

This work introduces a novel family of boundary conditions for AdS$_3$ General Relativity, constructed through a polynomial expansion in negative integer powers of the Brown-Henneaux central charge. The associated dynamics is governed by…

High Energy Physics - Theory · Physics 2024-11-13 Kristiansen Lara , Miguel Pino , Francisco Reyes

We study the thermodynamical properties of a one-dimensional gas with one-dimensional gravitational interactions, and placed in a uniform mass background. Periodic boundary conditions are implemented as a modification of the potential…

Statistical Mechanics · Physics 2017-02-22 Pankaj Kumar , Bruce N. Miller , Dan Pirjol

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

This paper considers diffeomorphism invariant theories of gravity coupled to matter, with second order equations of motion. This includes Einstein-Maxwell and Einstein-scalar field theory with (after field redefinitions) the most general…

General Relativity and Quantum Cosmology · Physics 2021-04-21 Harvey S. Reall

In this work we construct holographic boundary theories for linearized 3D gravity, for a general family of finite or quasi-local boundaries. These boundary theories are directly derived from the dynamics of 3D gravity by computing the…

General Relativity and Quantum Cosmology · Physics 2019-05-28 Seth K. Asante , Bianca Dittrich , Florian Hopfmueller

Gravitational thermodynamics and gravitoscalar thermodynamics with $S^2 \times \mathbb{R}$ boundary geometry are investigated through the partition function, assuming that all Euclidean saddle point geometries contribute to the path…

General Relativity and Quantum Cosmology · Physics 2021-09-28 Shoichiro Miyashita

We consider the 3D compressible isentropic Euler equations describing the motion of a liquid in an unbounded initial domain with a moving boundary and a fixed flat bottom at finite depth. The liquid is under the influence of gravity and…

Analysis of PDEs · Mathematics 2026-05-08 Chenyun Luo , Junyan Zhang

A finite action principle for Chern-Simons AdS gravity is presented. The construction is carried out in detail first in five dimensions, where the bulk action is given by a particular combination of the Einstein-Hilbert action with negative…

High Energy Physics - Theory · Physics 2010-02-03 P. Mora , R. Olea , R. Troncoso , J. Zanelli

Resorting to the notion of a stress tensor induced on the boundary of a spacetime, we compute the conserved charges associated to exact solutions of New Massive Gravity that obey weakened versions of AdS_3 asymptotic boundary conditions.…

High Energy Physics - Theory · Physics 2011-08-08 Gaston Giribet , Mauricio Leston

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…

High Energy Physics - Theory · Physics 2007-05-23 P. Mora , R. Olea , R. Troncoso , J. Zanelli

The action for a class of three-dimensional dilaton-gravity theories with a cosmological constant can be recast in a Brans-Dicke type action, with its free $\omega$ parameter. These theories have static spherically symmetric black holes.…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Gonçalo A. S. Dias , José P. S. Lemos

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 discuss recent developments in the hydrodynamic description of strongly coupled conformal field theories using the AdS/CFT correspondence. In particular, we review aspects of the fluid-gravity correspondence which provides a map between…

High Energy Physics - Theory · Physics 2009-11-09 Mukund Rangamani

We study regular spacelike warped black holes in the three dimensional general massive gravity model, which contains both the gravitational Chern-Simons term and the linear combination of curvature squared terms characterizing the new…

High Energy Physics - Theory · Physics 2010-09-01 Erik Tonni