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In three spacetime dimensions, general relativity becomes a topological field theory, whose dynamics can be largely described holographically by a two-dimensional conformal field theory at the ``boundary'' of spacetime. I review what is…

General Relativity and Quantum Cosmology · Physics 2010-04-28 S. Carlip

Many theories of gravity admit formulations in different, conformally related manifolds, known as the Jordan and Einstein conformal frames. Among them are various scalar-tensor theories of gravity and high-order theories with the Lagrangian…

General Relativity and Quantum Cosmology · Physics 2007-05-23 K. A. Bronnikov , M. S. Chernakova

We compute the entropies for general curvature squared gravities in arbitrary dimensions using the conserved charge and Virasoro algebra from surface term. We introduce an auxiliary tensor field in order to obtain the boundary action which…

High Energy Physics - Theory · Physics 2013-04-29 Kyosuke Hirochi

Canonical formulation of higher order theory of gravity can only be accomplished associating additional degrees of freedom, which are extrinsic curvature tensor. Consequently, to match Cauchy data with the boundary data, terms in addition…

General Relativity and Quantum Cosmology · Physics 2018-08-16 Ranajit Mandal , Abhik Kumar Sanyal

We give an alternative description of the physical content of general relativity that does not require a Lorentz invariant spacetime. Instead, we find that gravity admits a dual description in terms of a theory where local size is…

General Relativity and Quantum Cosmology · Physics 2011-03-30 Henrique Gomes , Sean Gryb , Tim Koslowski

Starting from the weak field limit, we discuss astrophysical applications of Extended Theories of Gravity where higher order curvature invariants and scalar fields are considered by generalizing the Hilbert-Einstein action linear in the…

General Relativity and Quantum Cosmology · Physics 2015-02-25 A. Stabile , S. Capozziello

We find constant scalar curvature Type-N and Type-D solutions in all higher curvature gravity theories with actions of the form f(Ricci) that are built on the Ricci tensor, but not on its derivatives. In our construction, these higher…

High Energy Physics - Theory · Physics 2012-07-17 Metin Gurses , Tahsin Cagri Sisman , Bayram Tekin

We consider the entanglement entropy in the dS/CFT correspondence.In Einstein gravity on de Sitter spacetime we propose the holographic entanglement entropy as the analytic continuation of the extremal surface in Euclidean anti-de Sitter…

High Energy Physics - Theory · Physics 2015-04-29 Yoshiki Sato

We consider various mechanisms of modifying the effect of intrinsic curvature in gravity with respect to general relativity. Two primary approaches are studied. First, by considering a Lagrange multiplier or an auxiliary field. Second, by…

General Relativity and Quantum Cosmology · Physics 2025-07-08 Ido Ben-Dayan , Elena Emtsova

For the BTZ black hole in the Einstein gravity, a statistical entropy has been calculated. It is equal to the Bekenstein-Hawking entropy. In this article, its statistical entropy in the higer curvature gravity is calculated and shown to be…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Hiromi Saida , Jiro Soda

We study the structure of the higher-curvature gravitational densities that are induced from holographic renormalization in AdS$_{d+1}$. In a braneworld construction, such densities define a d-dimensional higher-curvature gravitational…

High Energy Physics - Theory · Physics 2023-02-02 Pablo Bueno , Roberto Emparan , Quim Llorens

We study the holographic entanglement entropy for singular surfaces in theories described holographically by hyperscaling violating backgrounds. We consider singular surfaces consisting of cones or creases in diverse dimensions. The…

High Energy Physics - Theory · Physics 2015-10-28 Mohsen Alishahiha , Amin Faraji Astaneh , Piermarco Fonda , Farzad Omidi

It is well-known that $f(R)$ gravity models formulated in Einstein conformal frame are equivalent to Einstein gravity together with a minimally coupled scalar field. In this case, the scalar field couples with the matter sector and the…

General Relativity and Quantum Cosmology · Physics 2015-05-30 Yousef Bisabr

We study the condensation of a charged scalar field in a $(3+1)$-dimensional asymptotically AdS background in the context of Einsteinian cubic gravity, featuring a holographic superconductor with higher curvature corrections corresponding…

High Energy Physics - Theory · Physics 2022-06-14 José D. Edelstein , Nicolás Grandi , Alberto Rivadulla Sánchez

In gravitational theories involving higher curvature corrections the metric describes additional degrees of freedom beyond the graviton. Holographic duality maps these to operators in the dual CFT. We identify infinite families of theories…

High Energy Physics - Theory · Physics 2016-04-20 Steffen Aksteiner , Yegor Korovin

We perform a detailed analysis of holographic entanglement R\'enyi entropy in some modified theories of gravity with four dimensional conformal field theory duals. First, we construct perturbative black hole solutions in a recently proposed…

High Energy Physics - Theory · Physics 2017-07-25 Anshuman Dey , Pratim Roy , Tapobrata Sarkar

Entanglement entropy in a field theory, with a holographic dual, may be viewed as a quantity which encodes the diffeomorphism invariant bulk gravity dynamics. This, in particular, indicates that the bulk Einstein equations would imply some…

High Energy Physics - Theory · Physics 2014-10-31 Jyotirmoy Bhattacharya , Tadashi Takayanagi

A generic spacetime topology contains timelike boundaries. Making use of two such boundaries, we formulate a microscopic holographic dual that captures cosmological spacetime beyond the cosmic horizon patch, including the future wedge. We…

High Energy Physics - Theory · Physics 2026-04-14 Batoul Banihashemi , Gauri Batra , Albert Y. T. Law , Eva Silverstein , Gonzalo Torroba

We propose massive gravity as a holographic framework for describing a class of strongly interacting quantum field theories with broken translational symmetry. Bulk gravitons are assumed to have a Lorentz-breaking mass term as a substitute…

High Energy Physics - Theory · Physics 2013-01-16 David Vegh

We have extended the results of arXiv:1704.06076 upto second subleading order in an expansion around large dimension D. Unlike the previous case, there are non-trivial metric corrections at this order. Due to our `background-covariant'…

High Energy Physics - Theory · Physics 2018-11-14 Sayantani Bhattacharyya , Parthajit Biswas , Yogesh Dandekar