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We show that the ghost-free models of massive gravity and their multi-graviton extensions follow from considering higher dimensional General Relativity in Einstein-Cartan form on a discrete extra dimension, according to the Dimensional…

High Energy Physics - Theory · Physics 2015-06-16 Claudia de Rham , Andrew Matas , Andrew J. Tolley

An auxiliary metric (reference metric) is inevitable in massive gravity theory. In the scenario of gauge/gravity duality, a singular reference metric corresponds to momentum dissipations, which describes the electric and heat conductivity…

General Relativity and Quantum Cosmology · Physics 2016-06-22 Hongsheng Zhang , Xin-Zhou Li

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

Noncommutative gravity, based on a twist-deformation of the differential geometry of spacetime and a first-order formulation of the dynamics, requires additional gravitational degrees of freedom as well as an enlargement of the gauge group…

General Relativity and Quantum Cosmology · Physics 2026-03-13 Marco de Cesare , Mairi Sakellariadou , Araceli Soler Oficial

We study a set of static solutions of the Einstein equations in presence of a massless scalar field and establish their connection to the Kantowski-Sachs cosmological solutions based on some kind of duality transformations. The physical…

General Relativity and Quantum Cosmology · Physics 2009-11-11 M. Gaudin , V. Gorini , A. Kamenshchik , U. Moschella , V. Pasquier

We construct no-ghost theories of analytic mechanics involving arbitrary higher-order derivatives in Lagrangian. It has been known that for theories involving at most second-order time derivatives in the Lagrangian, eliminating linear…

High Energy Physics - Theory · Physics 2018-07-04 Hayato Motohashi , Teruaki Suyama , Masahide Yamaguchi

A classification of bosonic on- and off-shell modes on a cosmological quantum space-time solution of the IIB matrix model is given, which leads to a higher-spin gauge theory. In particular, the no-ghost-theorem is established. The physical…

High Energy Physics - Theory · Physics 2021-06-29 Harold C. Steinacker

We study higher dimensional scenarios of massive bigravity, which is a very interesting extension of nonlinear massive gravity since its reference metric is assumed to be full dynamical. In particular, the Einstein field equations along…

General Relativity and Quantum Cosmology · Physics 2016-08-15 Tuan Q. Do

General aspects of vielbein representation, ADM formulation and canonical quantization of gravity are reviewed using pure gravity in three dimensions as a toy model. The classical part focusses on the role of observers in general…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Hans-Juergen Matschull

A generalization to the theory of massive gravity is presented which includes three dynamical metrics. It is shown that at the linear level, the theory predicts a massless spin-2 field which is decoupled from the other two gravitons which…

High Energy Physics - Theory · Physics 2013-08-13 Nima Khosravi , Nafiseh Rahmanpour , Hamid Reza Sepangi , Shahab Shahidi

We study the origin of dark matter based on the ghost-free bigravity theory with twin matter fluids. The present cosmic acceleration can be explained by the existence of graviton mass, while dark matter is required in several cosmological…

General Relativity and Quantum Cosmology · Physics 2015-01-07 Katsuki Aoki , Kei-ichi Maeda

The consistency of string theory as a theory of gravity does not rely on the presence of spacetime supersymmetry; however, its absence leads to the emergence of tadpole diagrams in the on-shell worldsheet formulation, thus undermining our…

High Energy Physics - Theory · Physics 2024-10-01 Salvatore Raucci

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

We present two different versions of the consistent theory of massive gravitons in arbitrary spacetimes which are simple enough for practical applications. The theory is described by a non-symmetric rank-2 tensor whose equations of motion…

High Energy Physics - Theory · Physics 2017-12-27 Charles Mazuet , Mikhail S. Volkov

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 consider antisymmetric Metric-Affine Theories of Gravity with a Lagrangian containing the most general terms up to dimension four and search for theories that are ghost- and tachyon-free when expanded around flat space. We find new…

General Relativity and Quantum Cosmology · Physics 2024-05-28 Yusuke Mikura , Vincenzo Naso , Roberto Percacci

In this paper we present a very simple and independent argument for the absence of the Boulware-Deser ghost in the recently proposed potentially ghost-free non-linear massive gravity. The limitation is that, in its simple form, the argument…

General Relativity and Quantum Cosmology · Physics 2012-01-11 Alexey Golovnev

We discuss a scale-free model of bigravity, in which the mass parameter of the standard bigravity potential is promoted to a dynamical scalar field. This modification retains the ghost-free bigravity structure, in particular it remains free…

High Energy Physics - Theory · Physics 2017-02-28 Giulia Cusin , Nima Khosravi , Johannes Noller

In this paper, we use a version of the BF formulation of two-dimensional dilaton gravity that allows to define a gauge theory of the two-dimensional Poincar\'e or Maxwell algebras and several of their higher-spin generalisations, both of…

High Energy Physics - Theory · Physics 2026-04-10 Xavier Bekaert , Michel Pannier

We set up a vacuum theory of gravity with an extra dimension of vanishing proper length. The most general solution to the field equations are presented. This formulation is free of Kaluza-Klein modes and does not allow the propagation of…

General Relativity and Quantum Cosmology · Physics 2020-05-26 Sandipan Sengupta