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We study Einstein gravity in dimensions $D\geq 4$ modified by curvature squared at critical point where the theory contains only massless gravitons. We show that at the critical point a new mode appears leading to a logarithmic gravity in…

High Energy Physics - Theory · Physics 2011-05-12 Mohsen Alishahiha , Reza Fareghbal

The two-dimensional theory of gravity describing a graviton-dilaton system is considered. The graviton-dilaton coupling can be fixed such that the quantum theory remains free of the conformal anomaly for any conformal dimension of the…

High Energy Physics - Theory · Physics 2009-10-22 T. T. Burwick , A. H. Chamseddine

We construct the non-linear realisation of the semi-direct product of the very extended algebra A1+++ and its vector representation. This theory has an infinite number of fields that depend on a spacetime with an infinite number of…

High Energy Physics - Theory · Physics 2020-06-10 Keith Glennon , Peter West

We study some universal features of gravity in higher dimensions and by universal we mean a feature that remains true in all dimensions $\geq4$. They include: (a) the gravitational dynamics always follows from the Bianchi derivative of a…

General Relativity and Quantum Cosmology · Physics 2011-05-06 Naresh Dadhich

We present a systematic exposition of the Lagrangian field theory for the massive spin-two field generated in higher-derivative gravity. It has been noticed by various authors that this nonlinear field overcomes the well known inconsistency…

General Relativity and Quantum Cosmology · Physics 2009-11-07 G. Magnano , L. M. Sokolowski

We introduce a new class of two dimensional gravity models using ideas motivated by the Teleparallel Equivalent of General Relativity. This leads to a rather natural formulation of a theory that has close links with Jackiw-Teitelboim…

General Relativity and Quantum Cosmology · Physics 2024-09-13 Christian G. Boehmer , Rafael Ferraro , Franco Fiorini

Multidimensional theories still remain attractive from the point of view of better understanding fundamental interactions. In this paper a six-dimensional Kaluza-Klein type model at the classical, Einstein's gravity formulation is…

General Relativity and Quantum Cosmology · Physics 2015-04-06 Jacek Syska

We study the parameter space of D-dimensional cosmological Einstein gravity together with quadratic curvature terms. In D>4 there are in general two distinct (anti)-de Sitter vacua. We show that for appropriate choice of the parameters…

High Energy Physics - Theory · Physics 2011-03-22 S. Deser , Haishan Liu , H. Lu , C. N. Pope , Tahsin Cagri Sisman , Bayram Tekin

We study a deSitter/Anti-deSitter/Poincare Yang-Mills theory of gravity in d-space-time dimensions in an attempt to retain the best features of both general relativity and Yang-Mills theory: quadratic curvature, dimensionless coupling and…

General Relativity and Quantum Cosmology · Physics 2015-05-01 Jack Gegenberg , Gabor Kunstatter

We formulate and analyze the Hamiltonian dynamics of a pair of massive spinless point particles in (2+1)-dimensional Einstein gravity by anchoring the system to a conical infinity, isometric to the infinity generated by a single massive but…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Jorma Louko , Hans-Juergen Matschull

We show that, in four-dimensional spacetimes with an arbitrary Einstein metric, with and without a cosmological constant, perturbative dynamical degrees of freedom in generic quadratic-curvature gravity can be decoupled into massless and…

General Relativity and Quantum Cosmology · Physics 2019-07-01 Yuki Niiyama , Yuya Nakamura , Ryosuke Zaimokuya , Yu Furuya , Yuuiti Sendouda

A four-dimensional regularization of Lovelock-Lanczos gravity up to an arbitrary curvature order is considered. We show that Lovelock-Lanczos terms can provide a non-trivial contribution to the Einstein field equations in four dimensions,…

General Relativity and Quantum Cosmology · Physics 2021-01-12 Alessandro Casalino , Aimeric Colleaux , Massimiliano Rinaldi , Silvia Vicentini

We study higher dimensional scenarios of massive bigravity, which is a very interesting extension of nonlinear massive gravity since its reference metric is assumed to be full dynamical. In particular, the Einstein field equations along…

General Relativity and Quantum Cosmology · Physics 2016-08-15 Tuan Q. Do

The field equations of the recent nonlocal generalization of Einstein's theory of gravitation are presented in a form that is reminiscent of general relativity. The implications of the nonlocal field equations are studied in the case of…

General Relativity and Quantum Cosmology · Physics 2016-05-24 Donato Bini , Bahram Mashhoon

The study of general two dimensional models of gravity allows to tackle basic questions of quantum gravity, bypassing important technical complications which make the treatment in higher dimensions difficult. As the physically important…

High Energy Physics - Theory · Physics 2010-11-19 D. Grumiller , W. Kummer , D. V. Vassilevich

A model of two--dimensional gravity with an action depending only on a linear connection is considered. This model is a topological one, in the sense that the classical action does not contain a metric or zweibein at all. A metric and an…

General Relativity and Quantum Cosmology · Physics 2019-08-17 M. Ferraris , M. Francaviglia , I. Volovich

We consider a theory of gravity with a hidden extra-dimension and metric-dependent torsion. A set of physically motivated constraints are imposed on the geometry so that the torsion stays confined to the extra-dimension and the…

General Relativity and Quantum Cosmology · Physics 2013-05-30 Karthik H. Shankar , Anand Balaraman , Kameshwar C. Wali

We propose an explicit non-linear realization of massive gravity, which relies on the introduction of a spurious compact extra dimension, on which we impose half-Newmann and half-Dirichlet boundary conditions. At the linearized level, we…

High Energy Physics - Theory · Physics 2010-05-12 Claudia de Rham

In this paper, we use a version of the BF formulation of two-dimensional dilaton gravity that allows to define a gauge theory of the two-dimensional Poincar\'e or Maxwell algebras and several of their higher-spin generalisations, both of…

High Energy Physics - Theory · Physics 2026-04-10 Xavier Bekaert , Michel Pannier

A discussion of the number of degrees of freedom, and their dynamical properties, in higher derivative gravitational theories is presented. The complete non-linear sigma model for these degrees of freedom is exhibited using the method of…

High Energy Physics - Theory · Physics 2011-04-15 Ahmed Hindawi , Burt A. Ovrut , Daniel Waldram