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We study several aspects of higher-order gravities constructed from general contractions of the Riemann tensor and the metric in arbitrary dimensions. First, we use the fast-linearization procedure presented in arXiv:1607.06463 to obtain…

High Energy Physics - Theory · Physics 2017-02-15 Pablo Bueno , Pablo A. Cano , Vincent S. Min , Manus R. Visser

We drastically simplify the problem of linearizing a general higher-order theory of gravity. We reduce it to the evaluation of its Lagrangian on a particular Riemann tensor depending on two parameters, and the computation of two derivatives…

High Energy Physics - Theory · Physics 2016-11-09 Pablo Bueno , Pablo A. Cano

We construct cubic gravity and its $f(P)$ extension and we investigate their early- and late-time cosmological applications. Cubic gravity is based on a particular invariant $P$, constructed from cubic contractions of the Riemann tensor,…

General Relativity and Quantum Cosmology · Physics 2019-07-08 Cristian Erices , Eleftherios Papantonopoulos , Emmanuel N. Saridakis

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 develop techniques of analyzing the unitarity of general Born-Infeld (BI) gravity actions in D-dimensional spacetimes. Determinantal form of the action allows us to find a compact expression quadratic in the metric fluctuations around…

High Energy Physics - Theory · Physics 2011-01-06 Ibrahim Gullu , Tahsin Cagri Sisman , Bayram Tekin

We construct all the bulk and boundary unitary cubic curvature parity invariant gravity theories in three dimensions in (anti)-de Sitter spaces. For bulk unitarity, our construction is based on the principle that the free theory of the…

High Energy Physics - Theory · Physics 2011-02-28 Ibrahim Gullu , Tahsin Cagri Sisman , Bayram Tekin

We study the condition that the theory is unitary and stable in three-dimensional gravity with most general quadratic curvature, Lorentz-Chern-Simons and cosmological terms. We provide the complete classification of the unitary theories…

High Energy Physics - Theory · Physics 2015-05-30 Nobuyoshi Ohta

In this article we will construct the most general torsion-free parity-invariant covariant theory of gravity that is free from ghost-like and tachyonic nstabilities around constant curvature space-times in four dimensions. Specifically,…

High Energy Physics - Theory · Physics 2016-02-29 Tirthabir Biswas , Alexey S. Koshelev , Anupam Mazumdar

We discuss quadratic gravity where terms quadratic in the curvature tensor are included in the action. After reviewing the corresponding field equations, we analyze in detail the physical propagating modes in some specific backgrounds.…

High Energy Physics - Theory · Physics 2016-12-21 Luis Alvarez-Gaume , Alex Kehagias , Costas Kounnas , Dieter Lust , Antonio Riotto

The metric tensor field equations for the general quadratic curvature gravity in four spacetime dimensions are derived by making use of the algebra of the exterior forms defined on pseudo-Riemannian manifolds and the identities satisfied by…

General Relativity and Quantum Cosmology · Physics 2025-05-26 Metin Arık , Ahmet Baykal , Tekin Dereli , Taner Tanrıverdi

We construct the AdS-plane wave solutions of generic gravity theory built on the arbitrary powers of the Riemann tensor and its derivatives in analogy with the pp-wave solutions. In constructing the wave solutions of the generic theory, we…

High Energy Physics - Theory · Physics 2014-12-10 Metin Gurses , Tahsin Cagri Sisman , Bayram Tekin

A special class of higher curvature theories of gravity, Ricci Cubic Gravity (RCG), in general d dimensional space-time has been investigated in this paper. We have used two different approaches, the linearized equations of motion and…

High Energy Physics - Theory · Physics 2017-09-13 Ahmad Ghodsi , Farzaneh Najafi

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 various aspects of higher-curvature theories of gravity built from contractions of the metric, the Riemann tensor and the covariant derivative, $\mathcal{L}(g^{ab},R_{abcd},\nabla_a)$. We characterise the linearized spectrum of…

High Energy Physics - Theory · Physics 2023-10-24 Sergio E. Aguilar-Gutierrez , Pablo Bueno , Pablo A. Cano , Robie A. Hennigar , Quim Llorens

The paper studies different observational features in the case of a specific cubic gravity theory, based on third order contractions of the Riemann tensor. Considering viable cosmic chronometers data, baryon acoustic oscillations, and…

General Relativity and Quantum Cosmology · Physics 2023-11-21 Mihai Marciu , Dana Maria Ioan , Mihai Dragomir

In this paper we study the most general covariant action of gravity up to terms that are quadratic in curvature. In particular this includes non-local, infinite derivative theories of gravity which are ghost-free and exhibit asymptotic…

High Energy Physics - Theory · Physics 2015-06-16 Tirthabir Biswas , Aindriú Conroy , Alexey S. Koshelev , Anupam Mazumdar

We present cosmological perturbation theory based on generalized gravity theories including string theory correction terms and a tachyonic complication. The classical evolution as well as the quantum generation processes in these variety of…

General Relativity and Quantum Cosmology · Physics 2009-11-10 J. Hwang , H. Noh

We present a simple unifying gauge theoretical formulation of gravitational theories in two dimensional spacetime. This formulation includes the effects of a novel matter-gravity coupling which leads to an extended de Sitter symmetry…

High Energy Physics - Theory · Physics 2009-10-22 Daniel Cangemi , Gerald Dunne

Completing earlier work on three dimensional (3D) N=1 supergravity with curvature-squared terms, we construct the general supergravity extension of cosmological massive gravity theories. We expand about supersymmetric anti-de Sitter vacua,…

High Energy Physics - Theory · Physics 2010-12-17 Eric A. Bergshoeff , Olaf Hohm , Jan Rosseel , Ergin Sezgin , Paul K. Townsend

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
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