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Partially massless theory in three dimensions is revisited and its relationship with the self-dual massive gravity is considered. The only mode of the partially massless theory is shown explicitly through an action for a scalar field on…

High Energy Physics - Theory · Physics 2022-05-04 Daniel Galviz , Adel Khoudeir

We discuss a very general theory of gravity, of which Lagrangian is an arbitrary function of the curvature invariants, on the brane. In general, the formulation of the junction conditions (except for Euler characteristics such as…

High Energy Physics - Theory · Physics 2014-11-20 Mariusz P. Dabrowski , Adam Balcerzak

We perform the dual transformation of the Yang-Mills theory in d=3 dimensions using the Wilson action on the cubic lattice. The dual lattice is made of tetrahedra triangulating a 3-dimensional curved manifold but embedded into a flat…

High Energy Physics - Theory · Physics 2009-10-31 Dmitri Diakonov , Victor Petrov

There is a great number of higher-spin gravities in $3d$ that can have both finite and infinite spectra of fields and can be formulated as Chern-Simons theories. It was believed that this is impossible in higher dimensions, where…

High Energy Physics - Theory · Physics 2025-05-20 Mattia Serrani

We discuss linearized gravity from the point of view of a gauge theory. In (3+1)-dimensions our analysis allows to consider linearized gravity in the context of the MacDowell-Mansouri formalism. Our observations may be of particular…

High Energy Physics - Theory · Physics 2009-11-10 J. A. Nieto

We propose a formulation of gravity theory in the form of a field theory in a flat space-time with a number of dimensions greater than four. Configurations of the field under consideration describe the splitting of this space-time into a…

General Relativity and Quantum Cosmology · Physics 2015-06-03 S. A. Paston

Two-spinor formalism for Einstein Lagrangian is developed. The gravitational field is regarded as a composite object derived from soldering forms. Our formalism is geometrically and globally well-defined and may be used in virtually any…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Marco Godina , Paolo Matteucci , Lorenzo Fatibene , Mauro Francaviglia

We propose a new theory of massive gravity with only two propagating degrees of freedom. After defining the theory in the unitary gauge in the vielbein language, we shall perform a Hamiltonian analysis to count the number of physical…

High Energy Physics - Theory · Physics 2015-12-17 Antonio De Felice , Shinji Mukohyama

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

The actions of the ``$R=T$'' and string-inspired theories of gravity in (1+1) dimensions are generalized into one single action which is characterized by two functions. We discuss differing interpretations of the matter stress-energy…

General Relativity and Quantum Cosmology · Physics 2010-04-06 J. S. F. Chan , R. B. Mann

We give a novel description of the recently proposed theory of new massive gravity (NMG) in three dimensions. We show that in terms of a Dirac type differential operator acting on the traceless Ricci tensor, the field equations of the…

High Energy Physics - Theory · Physics 2011-02-01 Haji Ahmedov , Alikram N. Aliev

We employ the massive gravity approach to stress-tensor deformations in a variety of scenarios, obtaining novel results and establishing new connections. Starting with perturbation theory, we show that the addition of $\text{tr}…

High Energy Physics - Theory · Physics 2025-12-30 Alexia Nix , Evangelos Tsolakidis

We investigate an emergent gravity in $(4+1)$ dimensions underlying a geometric torsion ${\cal H}_3$ in $1.5$ order formulation. We show that an emergent pair-symmetric $4$th order curvature tensor underlying a NS field theory governs a…

High Energy Physics - Theory · Physics 2016-11-23 Supriya Kar

Drawing an analogy between gravity dynamical equation of motion and that of Maxwell electrodynamics with an electric source we outline a way of appearance of a dual to graviton field. We propose a dimensional reduction ansatz for the field…

High Energy Physics - Theory · Physics 2007-05-23 Alexei J. Nurmagambetov

Any connection between dark matter and extra dimensions can be cognizably evinced from the associated effective energy-momentum tensor. In order to investigate and test such relationship, a higher dimensional spacetime endowed with a…

General Relativity and Quantum Cosmology · Physics 2013-07-17 C. H. Coimbra-Araujo , Roldao da Rocha

The multidimensional gravity on the total space of principal bundle is considered. In this theory the gauge fields arise as nondiagonal components of multidimensional metric. The spherically symmetric and cosmology solutions for gravity on…

General Relativity and Quantum Cosmology · Physics 2015-06-25 V. D. Dzhunushaliev

Following earlier works of Dereli and collaborators, we study a three dimensional toy model where we extend the topologically massive gravity with electrodynamics by the most general $RF^2$-type non-minimal coupling terms. Here $R$ denotes…

General Relativity and Quantum Cosmology · Physics 2022-02-23 Kıvanç İ. Ünlütürk , Cem Yetişmişoğlu

We consider the double copy of massive Yang-Mills theory in four dimensions, whose decoupling limit is a nonlinear sigma model. The latter may be regarded as the leading terms in the low energy effective theory of a heavy Higgs model, in…

High Energy Physics - Theory · Physics 2021-09-09 Arshia Momeni , Justinas Rumbutis , Andrew J. Tolley

The duality between a higher curvature $f(R)$ gravity model and a scalar-tensor theory helps to bring out the role of the additional degree of freedom originating from the higher derivative terms in the gravity action. Such a degree of…

General Relativity and Quantum Cosmology · Physics 2024-06-21 Hitender Kumar , Tanmoy Paul , Soumitra SenGupta

We consider the harmonic gauge condition in linearized gravity, seen as a gauge theory for a symmetric tensor field. Once the harmonic gauge condition is implemented, as customary, according to the Faddeev-Popov procedure, the gauge fixed…

General Relativity and Quantum Cosmology · Physics 2020-06-23 Giulio Gambuti , Nicola Maggiore
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