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In a recent work we derived the kinematic Hamiltonian and primary constraints of the new general relativity class of teleparallel gravity theories and showed that these theories can be grouped in 9 classes, based on the presence or absence…

General Relativity and Quantum Cosmology · Physics 2020-03-18 Manuel Hohmann

Considering Chern-Simons like gravity theories in three dimensions as first order systems, we analyze the Hamiltonian structure of three theories Topological massive gravity, New massive gravity, and Zwei-Dreibein Gravity.We show that these…

High Energy Physics - Theory · Physics 2018-02-06 Mahdi Hajihashemi , Ahmad Shirzad

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

We classify all the first-order vertices of gravity consistently coupled to a system of 2-form gauge fields by computing the local BRST cohomology H(s|d) in ghost number 0 and form degree n. The consistent deformations are at most linear in…

High Energy Physics - Theory · Physics 2009-10-31 Xavier Bekaert , Bernard Knaepen , Christiane Schomblond

We systematically study the most general Lorentz-violating graviton mass invariant under three-dimensional Eucledian group using the explicitly covariant language. We find that at general values of mass parameters the massive graviton has…

High Energy Physics - Theory · Physics 2008-11-26 S. L. Dubovsky

We study the canonical structure of the Bergshoeff-Hohm-Townsend massive gravity, linearized around a maximally symmetric background. At the critical point in the space of parameters, defined by $\Lambda_0/m^2=-1$, we discover an extra…

General Relativity and Quantum Cosmology · Physics 2011-04-05 M. Blagojević , B. Cvetković

Lorentz-invariant massive gravity is usually associated with a strong coupling scale $\Lambda_3$. By including non-trivial effects from the Stueckelberg modes, we show that about these vacua, one can push the strong coupling scale to higher…

High Energy Physics - Theory · Physics 2016-05-11 Claudia de Rham , Andrew J. Tolley , Shuang-Yong Zhou

Massive gravity can be described by adding to the Einstein-Hilbert action a function V of metric components. By using the Hamiltonian canonical analysis, we find the most general form of V such that five degrees of freedom propagate non…

High Energy Physics - Theory · Physics 2015-04-17 Denis Comelli , Fabrizio Nesti , Luigi Pilo

We present a generally-covariant and parity-invariant "zwei-dreibein" action for gravity in three space-time dimensions that propagates two massive spin-2 modes, unitarily, and we use Hamiltonian methods to confirm the absence of unphysical…

High Energy Physics - Theory · Physics 2013-12-18 Eric A. Bergshoeff , Sjoerd de Haan , Olaf Hohm , Wout Merbis , Paul K. Townsend

We propose new version of massive $F(R)$ gravity which is natural generalization of convenient massive ghost-free gravity. Its Hamiltonian formulation in scalar-tensor frame is developed. We show that such $F(R)$ theory is ghost-free. The…

High Energy Physics - Theory · Physics 2015-06-17 Josef Klusoň , Shin'ichi Nojiri , Sergei D. Odintsov

We extend the four-dimensional de Rham-Gabadadze-Tolley (dRGT) massive gravity model to a general scalar massive-tensor theory in arbitrary dimensions, coupling a dRGT massive graviton to multiple scalars and allowing for generic kinetic…

High Energy Physics - Theory · Physics 2013-09-23 Qing-Guo Huang , Ke-Chao Zhang , Shuang-Yong Zhou

We discuss the interplay between direct constraints on non-Newtonian gravity and particle-physics bounds in models with large extra dimensions. Existing and future bounds and the most effective ways of further testing these models in…

High Energy Physics - Phenomenology · Physics 2009-01-07 M. Fabbrichesi , M. Piai , G. Tasinato

We consider some flat space theories for spin 2 gravitons, with less invariance than full diffeomorphisms. For the massless case, classical stability and absence of ghosts require invariance under transverse diffeomorphisms (TDiff). Generic…

High Energy Physics - Theory · Physics 2008-11-26 E. Alvarez , D. Blas , J. Garriga , E. Verdaguer

The theory of nonlinear massive gravity can be extended into the F(R) form as developed in Phys.Rev.D90, 064051 (2014). Being free of the Boulware-Deser ghost, such a construction has the additional advantage of exhibiting no linear…

Cosmology and Nongalactic Astrophysics · Physics 2014-10-08 Yi-Fu Cai , Emmanuel N. Saridakis

We consider the post-Newtonian limit of a general class of bimetric theories of gravity, in which both metrics are dynamical. The established parameterised post-Newtonian approach is followed as closely as possible, although new potentials…

General Relativity and Quantum Cosmology · Physics 2010-12-07 Timothy Clifton , Máximo Bañados , Constantinos Skordis

In this work, we introduce a class of extended Minimal Theories of Massive Gravity (eMTMG), without requiring a priori that the theory should admit the same homogeneous and isotropic cosmological solutions as the de Rham-Gabadadze-Tolley…

General Relativity and Quantum Cosmology · Physics 2022-11-09 Antonio De Felice , Shinji Mukohyama , Masroor C. Pookkillath

The mass of the graviton can be generated using a Brout-Englert-Higgs mechanism with four scalar fields. We show that when one of these fields is costrained as in mimetic gravity, the massive gravity obtained is ghost free and consistent.…

High Energy Physics - Theory · Physics 2018-06-13 Ali H. Chamseddine , Viatcheslav Mukhanov

We construct a Hamiltonian for the nonlocal F(R) theory in the present work. By this construction, we demonstrate the nature of the ghost degrees of freedom. Finally, we find conditions that give rise to ghost-free theories

General Relativity and Quantum Cosmology · Physics 2022-07-27 Pawan Joshi , Sukanta Panda

Generic massive gravity models in the unitary gauge correspond to a self-gravitating medium with six degrees of freedom. It is widely believed that massive gravity models with six degrees of freedom have an unavoidable ghost-like…

High Energy Physics - Theory · Physics 2018-09-19 Marco Celoria , Denis Comelli , Luigi Pilo

The different forms of the Hamiltonian formulations of linearized General Relativity/spin-two theories are discussed in order to show their similarities and differences. It is demonstrated that in the linear model, non-covariant…

General Relativity and Quantum Cosmology · Physics 2011-07-18 K. R. Green , N. Kiriushcheva , S. V. Kuzmin
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