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An extension of the bimetric theory of gravity is considered that includes quadratic Ricci curvature terms associated with each metric. The issue of the Boulware-Deser ghost is analyzed. The Hamiltonian constraint is derived and the…

General Relativity and Quantum Cosmology · Physics 2025-01-23 Ioannis D. Gialamas , Kyriakos Tamvakis

A Galileon field is one which obeys a spacetime generalization of the non-relativistic Galilean invariance. Such a field may possess non-canonical kinetic terms, but ghost-free theories with a well-defined Cauchy problem exist, constructed…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-21 Clare Burrage , David Seery

Interactions in bimetric theory, which can describe gravity in the presence of an extra spin-2 field, are severely constrained by the requirement of the absence of the Boulware-Deser ghost instability. Recently an interesting new matter…

High Energy Physics - Theory · Physics 2014-09-08 S. F. Hassan , Mikica Kocic , Angnis Schmidt-May

The study of linear perturbation theory for general functions of the Ricci and Gauss-Bonnet scalars is done over an empty anisotropic universe, i.e. the Kasner-type background, in order to show that an anisotropic background in general has…

Cosmology and Nongalactic Astrophysics · Physics 2010-10-27 Antonio De Felice , Takahiro Tanaka

Galileon models arise in certain braneworld scenarios as modifications to General Relativity, and are also interesting as field theories in their own right. We show how the galileon model can be naturally generalized to include local gauge…

High Energy Physics - Theory · Physics 2012-03-05 Shuang-Yong Zhou , Edmund J. Copeland

We study spatially flat bouncing cosmologies and models with the early-time Genesis epoch in a popular class of generalized Galileon theories. We ask whether there exist solutions of these types which are free of gradient and ghost…

High Energy Physics - Theory · Physics 2016-08-31 M. Libanov , S. Mironov , V. Rubakov

Could a conformal Galileon be describing a gauge mode of a broader diffeomorphism invariant theory? We answer this question affirmatively in 3D by using a coset construction for a nonlinearly realized conformal symmetry. In particular, we…

High Energy Physics - Theory · Physics 2019-05-31 Gregory Gabadadze , Giorgi Tukhashvili

In Einstein's general relativity, gravity is mediated by a massless metric field. The extension of general relativity to consistently include a mass for the graviton has profound implications for gravitation and cosmology. Salient features…

General Relativity and Quantum Cosmology · Physics 2020-07-24 Lijing Shao , Norbert Wex , Shuang-Yong Zhou

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

A general approach to description of multigravity models in D-dimensional space-time is presented. Different possibilities of generalization of the invariant volume are given. Then a most general form of the interaction potential is…

High Energy Physics - Theory · Physics 2014-08-26 Steven Duplij , Albert Kotvytskiy

Massive Gravity in four dimensions has been shown to be free of the Boulware-Deser (BD) ghost in the ADM language for a specific choice of mass terms. We show here how this is consistent with the St\"uckelberg language beyond the decoupling…

High Energy Physics - Theory · Physics 2012-04-10 Claudia de Rham , Gregory Gabadadze , Andrew Tolley

We study general Lorentz invariant theories of massive gravitons. We show that, contrary to the standard lore, there exist consistent theories where the graviton mass term violates Pauli-Fierz structure. For theories where the graviton is a…

High Energy Physics - Theory · Physics 2008-11-26 Gia Dvali , Oriol Pujolas , Michele Redi

We linearize the field equations for higher order theories that contain scalar invariants other than the Ricci scalar. We find that besides a massless spin-2 field (the standard graviton), the theory contains also spin-0 and spin-2 massive…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Charalampos Bogdanos , Salvatore Capozziello , Mariafelicia De Laurentis , Savvas Nesseris

This note is devoted to the Hamiltonian analysis of extension of quasidilaton massive gravity as was proposed recently in [arXiv:1306.5502]. We show that for given formulation of the theory the additional primary constraint that is…

High Energy Physics - Theory · Physics 2013-09-16 J. Kluson

Scalar effective field theories with enhanced soft limits behave in many ways like gauge theories and gravity. In particular, symmetries fix the structure of interactions and the tree-level S-matrix in both types of theories. We explore how…

High Energy Physics - Theory · Physics 2020-10-08 James Bonifacio , Kurt Hinterbichler , Laura A. Johnson , Austin Joyce , Rachel A. Rosen

We analyse scale invariant quadratic quantum gravity incorporating non-minimal coupling to a multiplet of scalar fields in a gauge theory, with particular emphasis on the consequences for its interpretation resulting from a transformation…

High Energy Physics - Theory · Physics 2018-03-07 Martin B. Einhorn , D. R. Timothy Jones

We study how massive ghost-free gravity $f(R)$-modified theories, MGFTs, can be encoded into generic off-diagonal Einstein spaces. Using "auxiliary" connections completely defined by the metric fields and adapted to nonholonomic frames with…

General Physics · Physics 2017-06-13 Sergiu I. Vacaru

We construct a fully covariant theory of massive gravity which does not require the introduction of an external reference metric, and overcomes the usual problems of massive gravity theories (fatal ghosts instabilities, acausality and/or…

High Energy Physics - Theory · Physics 2015-06-15 Maud Jaccard , Michele Maggiore , Ermis Mitsou

We present a new model of gravity which explicitly breaks Lorentz-invariance by the introduction of a unit time-like vector field, thereby giving rise to an extra (scalar) degree of freedom. We discuss its cosmology, exact solutions and the…

General Relativity and Quantum Cosmology · Physics 2013-01-18 Flavio S. Coelho , Carlos Herdeiro , Shinji Hirano , Yuki Sato

We consider various decoupling limits of ghost-free massive gravity on (A)dS. The first is a decoupling limit on AdS space where the mass goes to zero while the AdS radius is held fixed. This results in an interacting massive Proca vector…

High Energy Physics - Theory · Physics 2018-10-05 Claudia de Rham , Kurt Hinterbichler , Laura A. Johnson
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