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Motivated by establishing holographic renormalization for gravitational theories with non-metricity and torsion, we present a new and efficient general method for calculating Gibbons-Hawking-York (GHY) terms. Our method consists of…

High Energy Physics - Theory · Physics 2023-05-03 Johanna Erdmenger , Bastian Heß , Ioannis Matthaiakakis , René Meyer

We propose a procedure for computing the boundary stress tensor associated with a gravitating system in asymptotically anti-de Sitter space. Our definition is free of ambiguities encountered by previous attempts, and correctly reproduces…

High Energy Physics - Theory · Physics 2009-10-31 Vijay Balasubramanian , Per Kraus

We first clarify the relation between boundary perturbations of AdS3 in general relativity, and exactly marginal worldsheet vertex operators in AdS3 string theory with Neveu-Schwarz Neveu-Schwarz flux. The latter correspond to solutions of…

High Energy Physics - Theory · Physics 2014-11-21 Jan Troost

We revisit the covariant phase space formalism applied to gravitational theories with null boundaries, utilizing the most general boundary conditions consistent with a fixed null normal. To fix the ambiguity inherent in the Wald-Zoupas…

High Energy Physics - Theory · Physics 2021-04-21 Venkatesa Chandrasekaran , Antony J. Speranza

A variational principle is constructed for gravity coupled to an asymptotically linear dilaton and a p-form field strength. This requires the introduction of appropriate surface terms -- also known as `boundary counterterms' -- in the…

High Energy Physics - Theory · Physics 2011-08-03 Robert B. Mann , Robert McNees

We obtain holographically renormalized boundary stress tensors with the emphasis on a special point in the parameter space of three dimensional new massive gravity, using the so-called Fefferman-Graham coordinates with relevant counter…

High Energy Physics - Theory · Physics 2015-05-28 Yongjoon Kwon , Soonkeon Nam , Jong-Dae Park , Sang-Heon Yi

We find a simple relation between the first subleading terms in the asymptotic expansion of the metric field in AdS$_3$, obeying the Brown-Henneaux boundary conditions, and the stress tensor of the underlying Liouville theory on the…

High Energy Physics - Theory · Physics 2016-09-06 J. Navarro-Salas , P. Navarro

We study dilaton-gravity theories in 2-dimensions obtained by dimensional reduction of higher dimensional nonrelativistic theories. Focussing on certain families of extremal charged hyperscaling violating Lifshitz black branes in…

High Energy Physics - Theory · Physics 2018-08-22 Kedar S. Kolekar , K. Narayan

We carry out the holographic renormalization of Einstein-Maxwell theory with curvature-squared corrections. In particular, we demonstrate how to construct the generalized Gibbons-Hawking surface term needed to ensure a perturbatively…

High Energy Physics - Theory · Physics 2010-03-19 Sera Cremonini , James T. Liu , Phillip Szepietowski

Using the AdS/CFT duality, we study the expectation value of stress tensor in $2+1$-dimensional quantum critical theories with a general dynamical scaling $z$, and explore various constrains on negative energy density for strongly coupled…

High Energy Physics - Theory · Physics 2016-10-12 Da-Shin Lee , Chen-Pin Yeh

We generalize the local surface counterterm prescription suggested in Einstein gravity for higher derivative (HD) and Weyl gravities. Explicitly, the surface counterterm is found for three- and five-dimensional HD gravities. As a result,…

High Energy Physics - Theory · Physics 2009-09-17 Shin'ichi Nojiri , Sergei D. Odintsov

We derive the most general junction conditions for the fourth-order brane gravity constructed of arbitrary functions of curvature invariants. We reduce these fourth-order theories to second order theories at the expense of introducing new…

High Energy Physics - Theory · Physics 2010-12-09 Adam Balcerzak , Mariusz P. Dabrowski

A generalization to the Gibbons-Hawking-York boundary term for metric $f(R)$ gravity theories is introduced. A redefinition of the Gibbons-Hawking-York term is proposed. The proposed new definition is used to derive a consistent set of…

General Relativity and Quantum Cosmology · Physics 2014-05-13 Ahmed Alhamzawi , Rahim Alhamzawi

In this paper, we consider the bulk plus boundary phase space for three-dimensional gravity with negative cosmological constant for a particular choice of conformal boundary conditions: the conformal class of the induced metric at the…

General Relativity and Quantum Cosmology · Physics 2020-04-22 Jeevan Chandra Namburi , Wolfgang Wieland

Chern-Simons modified gravity comprises the Einstein-Hilbert action and a higher-derivative interaction containing the Chern-Pontryagin density. We derive the analog of the Gibbons-Hawking-York boundary term required to render the Dirichlet…

General Relativity and Quantum Cosmology · Physics 2008-11-26 D. Grumiller , R. Mann , R. McNees

Pure three-dimensional gravity is a renormalizable theory with two free parameters labelled by $G$ and $\Lambda$. As a consequence, correlation functions of the boundary stress tensor in AdS$_3$ are uniquely fixed in terms of one…

High Energy Physics - Theory · Physics 2022-08-31 Stephen Ebert , Eliot Hijano , Per Kraus , Ruben Monten , Richard M. Myers

The on-shell gravitational action and the boundary stress tensor are essential ingredients in the study of black hole thermodynamics. We employ the Hamilton-Jacobi method to calculate the boundary counterterms necessary to remove the…

High Energy Physics - Theory · Physics 2014-11-18 James T. Liu , Wafic A. Sabra

Via the AdS/CFT correspondence, ground states of field theories at finite charge density are mapped to extremal black brane solutions. Studies of simple gravity + matter systems in this context have uncovered wide new classes of extremal…

High Energy Physics - Theory · Physics 2012-03-06 Sarah Harrison , Shamit Kachru , Huajia Wang

In this paper, we investigate AdS/BCFT for curvature-squared gravity. To warm up, we start with Gauss-Bonnet gravity. We derive the one point function of stress tensor and show that the central charge related to the norm of displacement…

High Energy Physics - Theory · Physics 2022-09-21 Qi-Lin Hu , Dongqi Li , Rong-Xin Miao , Yu-Qian Zeng

The Gibbons-Hawking-York (GHY) boundary term makes the Dirichlet problem for gravity well defined, but no such general term seems to be known for Neumann boundary conditions. In this paper, we view Neumann {\em not} as fixing the normal…

High Energy Physics - Theory · Physics 2017-05-24 Chethan Krishnan , Avinash Raju