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Related papers: Aspects of Quadratic Gravity

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In the general relativity theory the basic ingredient to describe gravity is the geometry, which interacts with all forms of matter and energy, and as such, the metric could be interpreted as a true physical quantity. However the metric is…

General Relativity and Quantum Cosmology · Physics 2025-03-19 Mario Novello , Júnior D. Toniato

In this thesis massive higher derivative gravity theories are analyzed in some detail. One-particle scattering amplitude between two covariantly conserved sources mediated by a graviton exchange is found at tree-level in $D$ dimensional…

General Relativity and Quantum Cosmology · Physics 2012-02-01 Ibrahim Gullu

A discussion of an extended class of higher-derivative classical theories of gravity is presented. A procedure is given for exhibiting the new propagating degrees of freedom, at the full non-linear level, by transforming the…

High Energy Physics - Theory · Physics 2011-09-09 Ahmed Hindawi , Burt A. Ovrut , Daniel Waldram

The effective action for gravity at high curvatures is likely to contain higher derivative terms. These corrections may have profound consequences for the singularity structure of space-time and for early Universe cosmology. In this…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Robert H. Brandenberger

The existence of gravitational radiation is a natural prediction of any relativistic description of the gravitational interaction. In this chapter, we focus on gravitational waves, as predicted by Einstein's general theory of relativity.…

General Relativity and Quantum Cosmology · Physics 2017-04-26 Alexandre Le Tiec , Jérôme Novak

Several recent papers discuss gravitational corrections to gauge couplings that depend quadratically on the energy. In the framework of the background-field approach, these correspond in general to adding to the effective action terms…

High Energy Physics - Theory · Physics 2015-05-20 John Ellis , Nick E. Mavromatos

We study the beta functions for the dimensionless couplings in quadratic curvature gravity, and find that there is a simple argument to restrict the possible form of the beta functions as derived from the counterterms at an arbitrary loop.…

High Energy Physics - Theory · Physics 2024-07-12 Hikaru Kawai , Nobuyoshi Ohta

We present the most general quadratic curvature action with torsion including infinite covariant derivatives and study its implications around the Minkowski background via the Palatini approach. Provided the torsion is solely given by the…

General Relativity and Quantum Cosmology · Physics 2019-05-22 Álvaro de la Cruz-Dombriz , Francisco José Maldonado Torralba , Anupam Mazumdar

We study structure of solutions of the recently constructed minimal extensions of Einstein's gravity in four dimensions at the quartic curvature level. The extended higher derivative theory, just like Einstein's gravity, has only a massless…

High Energy Physics - Theory · Physics 2016-04-25 Atalay Karasu , Esin Kenar , Bayram Tekin

We address the stability issue of Ricci-flat and maximally symmetric spacetimes in nonlocal gravity to all perturbative orders in the gravitational perturbation. Assuming a potential at least cubic in curvature tensors but quadratic in the…

General Relativity and Quantum Cosmology · Physics 2019-05-01 Fabio Briscese , Gianluca Calcagni , Leonardo Modesto

The geometrical nature of gravity emerges from the universality dictated by the equivalence principle. In the usual formulation of General Relativity, the geometrisation of the gravitational interaction is performed in terms of the…

High Energy Physics - Theory · Physics 2019-03-19 Jose Beltran Jimenez , Lavinia Heisenberg , Tomi S. Koivisto

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 formulate quantum field theory in triangulated spacetime using compositional quantum field theory and tensor network methods. We show that gravitational interactions emerge as a low-energy effective phenomenon in this framework. For…

High Energy Physics - Theory · Physics 2025-05-13 Matti Raasakka

An example of a higher spin gravity in four-dimensional flat space has recently been constructed in arXiv:1609.04655 [hep-th]. This theory is chiral and the action is written in the light-cone gauge. The theory has certain stringy features,…

High Energy Physics - Theory · Physics 2018-07-25 Evgeny D. Skvortsov , Tung Tran , Mirian Tsulaia

The main obstacle in attempts to construct a consistent quantum gravity is the absence of independent flat time. This can in principle be cured by going out to higher dimensions. The modern paradigm assumes that the fundamental theory of…

High Energy Physics - Theory · Physics 2008-11-26 A. V. Smilga

We develop a purely quantum theory based on the novel principle of relativity, termed the quantum principle of relativity, instead of directly applying the diffeomorphism invariance. We demonstrate that the essence of the principle can be…

High Energy Physics - Theory · Physics 2026-02-06 Jinsu Kim , Dongok Kim

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

In this paper we study long distance modifications of gravity obtained by considering actions that are singular in the limit of vanishing curvature. In particular, we showed in a previous publication that models that include inverse powers…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Ignacio Navarro , Karel Van Acoleyen

We consider conformal and scale-invariant gravities in d dimensions, with a special focus on pure $R^2$ gravity in the scale-invariant case. In four dimensions, the structure of these theories is well known. However, in dimensions larger…

High Energy Physics - Theory · Physics 2025-06-24 Anamaria Hell , Dieter Lust

In this letter we consider the Einsteinian strengths and dynamical degrees of freedom for quadratic gravity. We show that purely metric quadratic gravity theories are much stronger in Einsteinian sense than the competitive quadratic gravity…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Janusz Garecki