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Related papers: Chiral description of ghost-free massive gravity

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We perform the complete canonical analysis of the tetrad formulation of bimetric gravity and confirm that it is ghost-free describing the seven degrees of freedom of a massless and a massive gravitons. In particular, we find explicit…

High Energy Physics - Theory · Physics 2014-09-04 Sergei Alexandrov

We complete the Hamiltonian analysis of specific model of non-linear massive gravity that was started in arXiv:1112.5267. We identify the primary constraint and corresponding secondary constraint. We show that they are the second class…

High Energy Physics - Theory · Physics 2015-06-04 J. Kluson

We present a new unification of the electro-weak and gravitational interactions based on the joining the weak SU(2) gauge fields with the left handed part of the space-time connection, into a single gauge field valued in the…

High Energy Physics - Theory · Physics 2014-03-26 Stephon Alexander , Antonino Marciano , Lee Smolin

We study SO(4) BF theory plus a general quadratic potential, which describes a bi- metric theory of gravity. We identify the profile of the potential leading to a Pauli-Fierz mass term for the massive graviton, thereby avoiding the…

High Energy Physics - Theory · Physics 2015-06-03 David Beke , Giovanni Palmisano , Simone Speziale

Performing Hamiltonian analysis of the massive gravity [9] in full phase space, we see that the theory is ghost free. We also see in a more clear way that this result is intrinsic of the interaction term and does not depend on the variables…

High Energy Physics - Theory · Physics 2018-08-01 Zahra Molaee , Ahmad Shirzad

In this paper we investigate possible consistent ghost-free models containing massive spin 2 particles in three dimensions. We work in a constructive approach based on the frame-like gauge invariant description for such massive spin 2…

High Energy Physics - Theory · Physics 2015-06-05 Yu. M. Zinoviev

We construct a chiral theory of gravity in 7 and 8 dimensions, which are equivalent to Einstein-Cartan theory using less variables. In these dimensions, we can construct such higher dimensional chiral gravity because of the existence of…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Takayoshi Ootsuka , Erico Tanaka , Kousuke Ura

This thesis studies general relativity (GR) using chiral formulations, which take advantage of the decomposition of the four-dimensional Lorentz group into self-dual and anti-self-dual sectors. Within this framework, GR can be expressed…

General Relativity and Quantum Cosmology · Physics 2026-04-23 Adam Shaw

We consider a new form of theories of gravity in which the action is written in terms of the Ricci scalar and its first and second derivatives. Despite the higher derivative nature of the action, the theory is free from ghost under an…

General Relativity and Quantum Cosmology · Physics 2019-04-24 Atsushi Naruko , Daisuke Yoshida , Shinji Mukohyama

We propose two new versions of ghost-free generalized $F(R)$ gravity with Lagrange multiplier constraint. The first version of such theory for a particular degenerate choice of the Lagrange multiplier, corresponds to mimetic $F(R)$ gravity.…

General Relativity and Quantum Cosmology · Physics 2017-11-22 S. Nojiri , S. D. Odintsov , V. K. Oikonomou

We perform the Hamiltonian analysis of minimal massive gravity coupled to the Galileon tadpole term. We determine all constraints and we argue that the physical degrees of freedom correspond to ten modes of the massive gravity together with…

High Energy Physics - Theory · Physics 2015-06-16 J. Kluson

We study a modification of the Plebanski action for general relativity, which leads to a modified theory of gravity with eight degrees of freedom. We show how the action can be recasted as a bi-metric theory of gravity, and expanding around…

High Energy Physics - Theory · Physics 2011-02-28 Simone Speziale

We explore the possibility of parity-violating, nonminimally coupled 2-form field theories that retain the same dynamical degrees of freedom as a massive 2-form and thus are ghost-free. Starting from the most general kinetic terms and…

General Relativity and Quantum Cosmology · Physics 2025-12-22 Yuki Horii , Tomoaki Murata , Tsutomu Kobayashi

It is shown that conformal matter with $c_{\ssc L}\not=c_{\ssc R}$ can be consistently coupled to two-dimensional `frame' gravity. The theory is quantized, following David, and Distler and Kawai, using the derivation of their {\it ansatz}…

High Energy Physics - Theory · Physics 2009-10-22 R. C. Myers , V. Periwal

We analyze the Hamiltonian structure of an extended chiral bosons theory in which the self-dual constraint is introduced via a control $\alpha$-parameter. The system has two second-class constraints in the non-critical regime and an…

High Energy Physics - Theory · Physics 2024-01-15 Gabriella V. Ambrosio , Cleber N. Costa , Paulo R. F. Alves , Jorge Ananias Neto , Ronaldo Thibes

We present the Hamiltonian formulation of the Ghost Free Mimetic Massive Gravity theory. The linearized theory is studied and the Hamiltonian equations of motion are analyzed. Poisson brackets are computed and closure is proved. To prove…

General Relativity and Quantum Cosmology · Physics 2019-09-04 O. Malaeb , C. Saghir

We present a formulation of ghost-free massive gravity with flat reference metric that exhibits the full non-linear constraint algebraically, in a way that can be directly implemented for numerical simulations. Motivated by the presence of…

High Energy Physics - Theory · Physics 2023-02-13 Claudia de Rham , Jan Kożuszek , Andrew J. Tolley , Toby Wiseman

Recently, a class of theories of massive gravity has been shown to be ghost-free. We study the spherically symmetric solutions in the bigravity formulation of such theories. In general, the solutions admit both a Lorentz invariant and a…

High Energy Physics - Theory · Physics 2013-05-30 D. Comelli , M. Crisostomi , F. Nesti , L. Pilo

The Hamiltonian analysis for the linearized $\lambda R$ gravity plus a Chern-Simons term is performed. The first-class and second-class constraints for arbitrary values of $\lambda$ are presented, and one physical degree of freedom is…

General Relativity and Quantum Cosmology · Physics 2024-08-15 Alberto Escalante , J. Aldair Pantoja-Gonzalez , Victor Julian Pérez-Aquino

A detailed Gitman-Lyakhovich-Tyutin analysis for higher-order topologically massive gravity is performed. The full structure of the constraints, the counting of physical degrees of freedom, and the Dirac algebra among the constraints are…

General Relativity and Quantum Cosmology · Physics 2021-08-18 A. Escalante , Jorge Hernández Aguilar
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