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The conserved charges associated to gauge symmetries are defined at a boundary component of space-time because the corresponding Noether current can be rewritten on-shell as the divergence of a superpotential. However, the latter is…

General Relativity and Quantum Cosmology · Physics 2011-07-19 B. Julia , S. Silva

We consider critical gravity in three dimensions; that is, the New Massive Gravity theory formulated about Anti-de Sitter (AdS) space with the specific value of the graviton mass for which it results dual to a two-dimensional conformal…

High Energy Physics - Theory · Physics 2014-05-08 Alan Garbarz , Gaston Giribet , Andrés Goya , Mauricio Leston

We derived local boundary counterterms in massive gravity theory with a negative cosmological constant in four dimensions. With these counterterms at hand we analyzed the properties of the boundary field theory in the context of AdS/CFT…

High Energy Physics - Theory · Physics 2015-12-30 Li-Ming Cao , Yuxuan Peng

We construct charged AdS black hole solutions in four dimensional Einstein Gauss Bonnet gravity coupled to Euler Heisenberg nonlinear electrodynamics and investigate their physical properties. The modified field equations admit black hole…

General Relativity and Quantum Cosmology · Physics 2026-02-24 Bilel Hamil , Faisal Javed

We show that Schwarzschild black hole solutions in asymptotically Anti-de Sitter (AdS) and de Sitter (dS) spaces may, up to a conformal factor, be reproduced in the framework of analogue gravity. The aforementioned derivation is performed…

General Relativity and Quantum Cosmology · Physics 2016-12-01 Ramit Dey , Stefano Liberati , Rodrigo Turcati

The Gauss-Bonnet Theorem is studied for edge metrics as a renormalized index theorem. These metrics include the Poincar\'e-Einstein metrics of the AdS/CFT correspondence. Renormalization is used to make sense of the curvature integral and…

Differential Geometry · Mathematics 2010-12-30 Pierre Albin

We discuss a localization formula for certain integrals on odd-dimensional manifolds with boundaries, equipped with a Killing vector, and employ this to localize the regularised on-shell action of a large class of supersymmetric solutions…

High Energy Physics - Theory · Physics 2026-01-27 Edoardo Colombo , Vasil Dimitrov , Dario Martelli , Alberto Zaffaroni

We derive the holographic entanglement entropy contribution from pure and mixed gravitational Chern-Simons(CS) terms in AdS$_{2k+1}$. This is done through two different methods : first, by a direct evaluation of CS action in a holographic…

High Energy Physics - Theory · Physics 2017-02-08 Tatsuo Azeyanagi , R. Loganayagam , Gim Seng Ng

We construct higher-derivative gravity theories in three dimensions that admit holographic $c$-theorems and exhibit a unique maximally symmetric vacuum, at arbitrary order $n$ in the curvature. We show that these theories exhibit special…

High Energy Physics - Theory · Physics 2024-07-02 Mariano Chernicoff , Gaston Giribet , Javier Moreno , Julio Oliva , Raul Rojas , Cielo Ramirez de Arellano Torres

We consider four-dimensional general relativity with a negative cosmological constant in the presence of a finite size boundary, $\Gamma$, for both Euclidean and Lorentzian signature. As our boundary condition, we consider the `conformal'…

High Energy Physics - Theory · Physics 2025-08-14 Dionysios Anninos , Raúl Arias , Damián A. Galante , Chawakorn Maneerat

In arbitrary dimension D, we consider a self-interacting scalar field nonminimally coupled with a gravity theory given by a particular Lovelock action indexed by an integer k. To be more precise, the coefficients appearing in the Lovelock…

High Energy Physics - Theory · Physics 2023-06-14 Moises Bravo Gaete , Mokhtar Hassaine

We develop the holographic renormalization of AdS_2 gravity systematically. We find that a bulk Maxwell term necessitates a boundary mass term for the gauge field and verify that this unusual term is invariant under gauge transformations…

High Energy Physics - Theory · Physics 2008-12-18 Alejandra Castro , Daniel Grumiller , Finn Larsen , Robert McNees

We study the quantum gravitational corrections to the geometry of a four-dimensionalcharged (Reissner-Nordstr\"om) Anti de Sitter black hole starting from an effective field theory approach to quantum gravity. We use the expression of the…

High Energy Physics - Theory · Physics 2025-02-11 Behnam Pourhassan , Ruben Campos Delgado , Sudhaker Upadhyay , Hoda Farahani , Himanshu Kumar

ADER schemes are numerical methods, which can reach an arbitrary order of accuracy in both space and time. They are based on a reconstruction procedure and the solution of generalized Riemann problems. However, for general boundary…

Numerical Analysis · Computer Science 2016-06-10 Gino I. Montecinos

We calculate the singular field of an accelerated point particle (scalar charge, electric charge or small gravitating mass) moving on an accelerated (non-geodesic) trajectory in a generic background spacetime. Using a mode-sum…

General Relativity and Quantum Cosmology · Physics 2015-06-19 Thomas M. Linz , John L. Friedman , Alan G. Wiseman

We discuss the quasi-normal modes of massive scalar perturbations of black holes in AdS_5 in conjunction with the AdS/CFT correspondence. On the gravity side, we solve the wave equation and obtain an expression for the asymptotic form of…

High Energy Physics - Theory · Physics 2009-11-10 George Siopsis

A geometric torsion dynamics leading to an effective curvature in a second order formalism on a D4-brane is revisited with a renewed interest. We obtain two effective $AdS_4$ brane geometries on a vacuum created pair of $(D{\bar…

High Energy Physics - Theory · Physics 2014-07-28 K. Priyabrat Pandey , Abhishek K. Singh , Sunita Singh , Supriya Kar

In this work it is introduced an extension of the study of the first law of thermodynamics of black holes based on the geometry of the extended phase space for AdS Lovelock gravities which includes changes of scales. As expected, the result…

General Relativity and Quantum Cosmology · Physics 2022-08-31 Rodrigo Aros , Milko Estrada , Pablo Pereira

The addition of boundary counterterms to the gravitational action of asymptotically anti-de Sitter spacetimes permits us to define the partition function unambiguously without background subtraction. We show that the inclusion of p-form…

High Energy Physics - Theory · Physics 2007-05-23 Marika Taylor-Robinson

Initial conditions given on a spacelike, static slice of a non-globally hyperbolic spacetime may not define the fates of classical and quantum fields uniquely. Such lack of global hyperbolicity is a well-known property of the anti-de Sitter…

General Relativity and Quantum Cosmology · Physics 2020-04-15 Vitor S. Barroso , J. P. M. Pitelli