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In the AdS/CFT correspondence one encounters theories that are not invariant under diffeomorphisms. In the boundary theory this is a gravitational anomaly, and can arise in 4k+2 dimensions. In the bulk, there can be gravitational…

High Energy Physics - Theory · Physics 2010-04-06 Per Kraus , Finn Larsen

A recent analysis of real general relativity based on multisymplectic techniques has shown that boundary terms may occur in the constraint equations, unless some boundary conditions are imposed. This paper studies the corresponding form of…

General Relativity and Quantum Cosmology · Physics 2010-04-06 Giampiero Esposito , Cosimo Stornaiolo

We study a conformally coupled scalar-tensor theory with a quartic potential possessing local conformal symmetry up to a boundary term. We show that requiring the restoration of the full local conformal symmetry fixes the counterterms that…

High Energy Physics - Theory · Physics 2023-05-25 Giorgos Anastasiou , Ignacio J. Araya , Mairym Busnego-Barrientos , Cristobal Corral , Nelson Merino

In this paper, we consider vacuum asymptotically anti-de Sitter spacetimes $( \mathscr{M}, g )$ with conformal boundary $( \mathscr{I}, \mathfrak{g} )$. We establish a correspondence, near $\mathscr{I}$, between such spacetimes and their…

General Relativity and Quantum Cosmology · Physics 2023-06-14 Gustav Holzegel , Arick Shao

We argue that already at classical level the energy-momentum tensor for a scalar field on manifolds with boundaries in addition to the bulk part contains a contribution located on the boundary. Using the standard variational procedure for…

High Energy Physics - Theory · Physics 2009-11-10 Aram A. Saharian

We study generic two-dimensional dilaton gravity with a Maxwell field and prove its triviality for constant dilaton boundary conditions, despite of the appearance of a Virasoro algebra with non-zero central charge. We do this by calculating…

High Energy Physics - Theory · Physics 2015-12-04 Daniel Grumiller , Jakob Salzer , Dmitri Vassilevich

Three-dimensional Einstein-Maxwell theory with non trivial asymptotics at null infinity is solved. The symmetry algebra is a Virasoro-Kac-Moody type algebra that extends the bms3 algebra of the purely gravitational case. Solution space…

General Relativity and Quantum Cosmology · Physics 2015-11-26 Glenn Barnich , Pierre-Henry Lambert , Pujian Mao

We show that the solution of the free-boundary incompressible ideal magnetohydrodynamic (MHD) equations with surface tension converges to that of the free-boundary incompressible ideal MHD equations without surface tension given the…

Analysis of PDEs · Mathematics 2022-11-03 Xumin Gu , Chenyun Luo , Junyan Zhang

We establish an inequality relating the surface gravity and topology of a horizon in a $3$-dimensional asymptotically locally hyperbolic static space with the geometry at infinity. Equality is achieved only by the Kottler black holes, and…

Differential Geometry · Mathematics 2025-09-23 Brian Harvie , Ye-Kai Wang

Motivated by a desire to understand quantum fluctuation energy densities and stress within a spatially varying dielectric medium, we examine the vacuum expectation value for the stress tensor of a scalar field with arbitrary conformal…

High Energy Physics - Theory · Physics 2016-05-17 Kimball A. Milton , Stephen A. Fulling , Prachi Parashar , Pushpa Kalauni , Taylor Murphy

We investigate the effects of an analytic boundary metric for smooth asymptotically anti-de Sitter gravitational solutions. The boundary dynamics is then completely determined by the initial data due to corner conditions that all smooth…

General Relativity and Quantum Cosmology · Physics 2021-01-13 Gary T. Horowitz , Diandian Wang

We discuss the calculation of the field theory stress tensor from the dual geometry for two recent proposals for gravity duals of non-relativistic conformal field theories. The first of these has a Schrodinger symmetry including Galilean…

High Energy Physics - Theory · Physics 2009-09-28 Simon F. Ross , Omid Saremi

We derive exact magnetically charged, static and spherically symmetric black hole solutions of the four-dimensional Einstein-Born-Infeld-dilaton gravity. These solutions are neither asymptotically flat nor (anti)-de Sitter. The properties…

High Energy Physics - Theory · Physics 2009-11-11 Stoytcho S. Yazadjiev

A strongly well-posed initial boundary value problem based upon constraint-preserving boundary conditions of the Sommerfeld type has been established for the harmonic formulation of the vacuum Einstein's equations. These Sommerfeld…

General Relativity and Quantum Cosmology · Physics 2010-01-07 Jeffrey Winicour

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 use the counterterm subtraction method to calculate the action and stress-energy-momentum tensor for the (Kerr) rotating black holes in AdS_{n+1}, for n=2, 3 and 4. We demonstrate that the expressions for the total energy for the…

High Energy Physics - Theory · Physics 2009-10-31 Adel M. Awad , Clifford V. Johnson

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

We construct an infinite family of smooth asymptotically-flat supergravity solutions that have the same charges and angular momenta as general supersymmetric D1-D5-P black holes, but have no horizon. These solutions resemble the…

High Energy Physics - Theory · Physics 2018-02-07 Iosif Bena , Stefano Giusto , Emil J. Martinec , Rodolfo Russo , Masaki Shigemori , David Turton , Nicholas P. Warner

Using the simple setting of 3D N=1 supergravity, we show how the tensor calculus of supergravity can be extended to manifolds with boundary. We present an extension of the standard F-density formula which yields supersymmetric…

High Energy Physics - Theory · Physics 2008-11-26 Dmitry V. Belyaev , Peter van Nieuwenhuizen

A new version of tetrad gravity in globally hyperbolic, asymptotically flat at spatial infinity spacetimes with Cauchy surfaces diffeomorphic to $R^3$ is obtained by using a new parametrization of arbitrary cotetrads to define a set of…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Luca Lusanna , Stefano Russo