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We present a new derivation of gravitational entropy functionals in higher-curvature theories of gravity using corner terms that are needed to ensure well-posedness of the variational principle in the presence of corners. This is…

High Energy Physics - Theory · Physics 2024-06-18 Jani Kastikainen , Andrew Svesko

We consider the universal part of entanglement entropy across a plane in flat space for a QFT, giving a non-perturbative expression in terms of a spectral function. We study the change in entanglement entropy under a deformation by a…

High Energy Physics - Theory · Physics 2015-06-22 Vladimir Rosenhaus , Michael Smolkin

We clarify the problem in which occasions can gravitational force be regarded emergent from thermodynamics, by proposing an entropic mechanism that can extract the entropic gradient existing in spacetime, due to the variation of the…

High Energy Physics - Theory · Physics 2021-10-01 Yang An , Peng Cheng

The entanglement entropy of three-dimensional conformal field theories contains a universal contribution coming from corners in the entangling surface. We study these contributions in a holographic framework and, in particular, we consider…

High Energy Physics - Theory · Physics 2015-09-30 Pablo Bueno , Robert C. Myers

We extend the thermodynamic derivation of gravity in the Jacobson framework by generalizing the Clausius relation through a nontrivial entropy functional. We show that entropy deformations appear as modifications of the effective…

General Relativity and Quantum Cosmology · Physics 2026-04-14 H. R. Fazlollahi

We present a canonical formulation of gravity theories whose Lagrangian is an arbitrary function of the Riemann tensor. Our approach allows a unified treatment of various subcases and an easy identification of the degrees of freedom of the…

High Energy Physics - Theory · Physics 2010-04-21 Nathalie Deruelle , Misao Sasaki , Yuuiti Sendouda , Daisuke Yamauchi

We examine holographic entanglement entropy with higher curvature gravity in the bulk. We show that in general Wald's formula for horizon entropy does not yield the correct entanglement entropy. However, for Lovelock gravity, there is an…

High Energy Physics - Theory · Physics 2011-06-01 Ling-Yan Hung , Robert C. Myers , Michael Smolkin

Our main aim in this paper is to promote the coframe variational method as a unified approach to derive field equations for any given gravitational action containing the algebraic functions of the scalars constructed from the Riemann…

General Relativity and Quantum Cosmology · Physics 2015-05-20 Ahmet Baykal , Özgur Delice

We find a covariant expression for the universal part of the holographic entanglement entropy which is valid for CFTs dual to generic higher curvature gravities in up to five bulk dimensions. We use this functional to compute universal…

High Energy Physics - Theory · Physics 2022-11-10 Giorgos Anastasiou , Ignacio J. Araya , Andrés Argandoña , Rodrigo Olea

Entanglement entropy for a spatial partition of a quantum system is studied in theories which admit a dual description in terms of the anti-de Sitter (AdS) gravity one dimension higher. A general proof of the holographic formula which…

High Energy Physics - Theory · Physics 2010-02-03 Dmitri V. Fursaev

In the context of Matrix/light-cone gauge M-theory, we develop a new approach for computing quantum entanglement between a probe gravitating in the vicinity of a source mass and the source mass. We demonstrate that this entanglement is…

High Energy Physics - Theory · Physics 2019-10-30 Vatche Sahakian

We propose a modified gravity theory by extending the Einstein-Hilbert action with an arbitrary function of the Ricci scalar and the Kretschmann scalar invariants. The resulting modified Friedmann equations for a spatially flat FRW universe…

General Relativity and Quantum Cosmology · Physics 2026-05-29 A. Dehyadegari , A. Sheykhi

We present the analytical calculation of entanglement entropy for a class of two dimensional field theories governed by the symmetries of the Galilean conformal algebra, thus providing a rare example of such an exact computation. These…

High Energy Physics - Theory · Physics 2015-03-25 Arjun Bagchi , Rudranil Basu , Daniel Grumiller , Max Riegler

In this paper we use the method of generalized gravitational entropy in \cite{Lewkowycz:2013nqa} to construct the dual bulk geometry for a spherical entangling surface, and calculate the R\'enyi entropy with the dual bulk gravity theory…

General Relativity and Quantum Cosmology · Physics 2015-06-17 Wu-zhong Guo , Miao Li

The aim of this review is to discuss the ways to obtain results based on gravity with higher derivatives in D-dimensional world. We considered the following ways: (1) reduction to scalar tensor gravity, (2) direct solution of the equations…

General Relativity and Quantum Cosmology · Physics 2023-04-20 Sergey G. Rubin , Arkadiy Popov , P. M. Petryakova

Motivated by conventional gauge theories, we consider a theory of gravity in which the Einstein-Hilbert action is replaced by a term that is quadratic in the Riemann tensor. We focus on cosmological solutions to the field equations in flat,…

General Relativity and Quantum Cosmology · Physics 2007-05-23 A. N. Lasenby , C. J. L. Doran , R. Heineke

A definition for the entanglement entropy in a gauge theory was given recently in arXiv:1501.02593. Working on a spatial lattice, it involves embedding the physical state in an extended Hilbert space obtained by taking the tensor product of…

High Energy Physics - Theory · Physics 2016-01-29 Ronak M Soni , Sandip P. Trivedi

We use the replica method to compute the entanglement entropy of a universe without gravity entangled in a thermofield-double-like state with a disjoint gravitating universe. Including wormholes between replicas of the latter gives an…

High Energy Physics - Theory · Physics 2021-03-17 Vijay Balasubramanian , Arjun Kar , Tomonori Ugajin

We derive the non-linear semiclassical equation of motion for a general diffeomorphism-invariant theory of gravity by leveraging the thermodynamic properties of closed causal horizons. Our work employs two complementary approaches. The…

General Relativity and Quantum Cosmology · Physics 2025-01-22 Naman Kumar

We compute the holographic entanglement entropy in the gravity with higher curvature terms dual to d=4 N=2 SCFTs in F-theory using the method proposed in arXiv:1011.5819. The log term of this entanglement entropy reproduces the A-type…

High Energy Physics - Theory · Physics 2012-09-03 Mitsutoshi Fujita