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Generalizations of GL(n) abelian Toda and $\widetilde{GL}(n)$ abelian affine Toda field theories to the noncommutative plane are constructed. Our proposal relies on the noncommutative extension of a zero-curvature condition satisfied by…

High Energy Physics - Theory · Physics 2009-11-11 I. Cabrera-Carnero

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 with assumptions both simple and natural from "physical" point of view we present a direct construction of transformations preserving wide class of (anti)commutation relations which describe Euclidean/Minkowski superspace…

High Energy Physics - Theory · Physics 2015-06-03 C. Gonera , M. Wodzislawski

We present a comprehensive study of gravitational exciton dynamics arising from higher-dimensional theories, with a focus on establishing a robust effective framework that incorporates self-interactions, higher-derivative corrections, and…

General Relativity and Quantum Cosmology · Physics 2025-03-04 Swapnil Kumar Singh

We aim to analyze the consistency of the deformation of the Heisenberg algebra in the setting of constrained Hamiltonian systems, providing a procedure to induce the deformation on the Poisson algebra after symplectic reduction. We…

Mathematical Physics · Physics 2026-03-12 Matteo Bruno , Sebastiano Segreto

The evolution of linear cosmological perturbations in modified theories of gravity is investigated assuming the Palatini formalism. It has been discussed about the stability problem in this model based on the equivalence between f(R)…

General Relativity and Quantum Cosmology · Physics 2008-06-18 Seokcheon Lee

We study the cosmology of a quadratic metric-compatible torsionful gravity theory in the presence of a perfect hyperfluid. The gravitational action is an extension of the Einstein-Cartan theory given by the usual Einstein-Hilbert…

General Relativity and Quantum Cosmology · Physics 2021-10-07 Damianos Iosifidis , Lucrezia Ravera

Motivated by an inclination for symmetry and possible extension of the General Theory of Relativity within the framework of Scalar Theory, we investigate the Bekenstein's disformal transformation of the Einstein-Hilbert action. Owing to the…

General Relativity and Quantum Cosmology · Physics 2025-03-05 Allan L. Alinea , Joshwa DJ. Ordonez

We develop the Palatini formalism within the framework of generalized Riemannian geometry of Courant algebroids. In this context, the Palatini variation of a generalized Einstein-Hilbert-Palatini action - formed using a generalized metric,…

High Energy Physics - Theory · Physics 2023-07-19 Branislav Jurco , Filip Moucka , Jan Vysoky

We argue that the presence of conformal anomalies in gravitational theories can lead to observable modifications to Einstein's equations via the induced anomalous effective actions, whose non-localities can overwhelm the smallness of the…

General Relativity and Quantum Cosmology · Physics 2017-06-21 Krzysztof A. Meissner , Hermann Nicolai

We analyze non-linear interactions of 2N-form Maxwell fields in a space-time of dimension D=4N. Based on the Pasti-Sorokin-Tonin (PST) method, we derive the general consistency condition for the dynamics to respect both manifest…

High Energy Physics - Theory · Physics 2019-10-02 Ginevra Buratti , Kurt Lechner , Luca Melotti

It is proposed that a non-Abelian adjoint two-form in BF type theories transform inhomogeneously under the gauge group. The resulting restrictions on invariant actions are discussed. The auxiliary one-form which is required for maintaining…

High Energy Physics - Theory · Physics 2008-11-26 Amitabha Lahiri

We study the Hamiltonian formulation of Plebanski theory in both the Euclidean and Lorentzian cases. A careful analysis of the constraints shows that the system is non regular, i.e. the rank of the Dirac matrix is non-constant on the…

General Relativity and Quantum Cosmology · Physics 2014-11-17 E. Buffenoir , M. Henneaux , K. Noui , Ph. Roche

We present for the first time an explicit exposition of quantum corrections within the cubic Galileon theory including the effect of quantum gravity, in a background- and gauge-invariant manner, employing the field-reparametrisation…

High Energy Physics - Theory · Physics 2017-05-17 Ippocratis D. Saltas , Vincenzo Vitagliano

We study modified theories of gravity of the f(R) type in Palatini formalism. We first consider the stability of atoms when the Palatini gravitational interaction is taken into account in the derivation of the non-relativistic Schrodinger…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Gonzalo J. Olmo

In this paper, the hybrid metric-Palatini gravity is an approach to modified gravity in which is added to the usual Einstein-Hilbert action a supplementary term containing a Palatini-type correction of the form $f({\cal R},T)$. Here, ${\cal…

General Relativity and Quantum Cosmology · Physics 2022-03-30 J. S. Gonçalves , A. F. Santos

Einsteinian cubic gravity provides a holographic toy model of a nonsupersymmetric CFT in three dimensions, analogous to the one defined by Quasi-topological gravity in four. The theory admits explicit non-hairy AdS$_4$ black holes and…

High Energy Physics - Theory · Physics 2018-06-18 Pablo Bueno , Pablo A. Cano , Alejandro Ruiperez

We present the $d+1$ formulation of Einstein-scalar-Gauss-Bonnet (ESGB) theories in dimension $D=d+1$ and for arbitrary (spacelike or timelike) slicings. We first build an action which generalizes those of Gibbons-Hawking-York and Myers to…

General Relativity and Quantum Cosmology · Physics 2020-07-01 Félix-Louis Julié , Emanuele Berti

It is known that one can formulate an action in teleparallel gravity which is equivalent to general relativity, up to a boundary term. In this geometry we have vanishing curvature, and non-vanishing torsion. The action is constructed by…

General Relativity and Quantum Cosmology · Physics 2022-07-07 Daniel Blixt , Manuel Hohmann , Martin Krššák , Christian Pfeifer

The current paper is dedicated to developing a (3+1) decomposition for the minimal gravitational Standard-Model Extension. Our setting is explicit diffeomorphism violation and we focus on the background fields known in the literature as $u$…

General Relativity and Quantum Cosmology · Physics 2022-01-05 Carlos M. Reyes , Marco Schreck