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A light scalar degree of freedom, as the one possibly responsible for the accelerated expansion of the Universe, could leave observable traces in the inspiral gravitational wave signal of binary systems. In order to study these effects, we…

General Relativity and Quantum Cosmology · Physics 2019-06-26 Adrien Kuntz , Federico Piazza , Filippo Vernizzi

Recently we have presented a new formulation of the theory of gravity based on an implementation of the Einstein Equivalence Principle distinct from General Relativity. The kinetic part of the theory - that describes how matter is affected…

General Relativity and Quantum Cosmology · Physics 2010-10-27 M. Novello

In the last few years we have seen an increase interest on gravitational waves due to recent and striking experimental results confirming Einstein's general relativity once more. From the field theory point of view, gravity describes the…

High Energy Physics - Theory · Physics 2019-02-06 H. G. M. Fortes , D. Dalmazi

We study the first cosmological implications of the mimetic theory of massive gravity recently proposed by Chamseddine and Mukhanov. This is a novel theory of ghost-free massive gravity which additionally contains a mimetic dark matter…

Cosmology and Nongalactic Astrophysics · Physics 2019-06-03 Adam R. Solomon , Valeri Vardanyan , Yashar Akrami

We study the background cosmology of the ghost-free, bimetric theory of gravity. We perform an extensive statistical analysis of the model using both frequentist and Bayesian frameworks and employ the constraints on the expansion history of…

Cosmology and Nongalactic Astrophysics · Physics 2013-03-22 Yashar Akrami , Tomi S. Koivisto , Marit Sandstad

In the context of perturbative quantum field theory, the addition of quadratic-curvature invariants to the Einstein-Hilbert action makes it possible to achieve strict renormalizability in four dimensions. The additional terms $R^2$ and…

High Energy Physics - Theory · Physics 2023-12-12 Luca Buoninfante

Studying the spectrum of (pure) $R^2$ gravity on Minkowski background inevitably results into a Catch-22: any consistent interpretation of its particle dynamics dictates that no accidental gauge symmetries emerge, a requirement that cannot…

High Energy Physics - Theory · Physics 2024-07-16 Georgios K. Karananas

Application of nonlinear symmetry realisation technique to gravity is studied. We identify the simplest extensions of the Poincare group suitable for nonlinear realisation. Among them only one model is suitable for description of massless…

General Relativity and Quantum Cosmology · Physics 2020-01-16 A. B. Arbuzov , B. N. Latosh

Effective field theories describing gravity coupled to matter are investigated, allowing for operators of arbitrary mass dimension. Terms violating local Lorentz and diffeomorphism invariance while preserving internal gauge symmetries are…

General Relativity and Quantum Cosmology · Physics 2021-02-03 Alan Kostelecky , Zonghao Li

We apply the recently developed positivity bounds for particles with spin, applied away from the forward limit, to the low energy effective theories of massive spin-1 and spin-2 theories. For spin-1 theories, we consider the generic Proca…

High Energy Physics - Theory · Physics 2019-04-03 Claudia de Rham , Scott Melville , Andrew J. Tolley , Shuang-Yong Zhou

Some time ago, we showed that a weak (linear) massless spin 2 wave could only propagate on a Ricci-flat or Ricci-constant background: it must necessarily be a perturbation of General Relativity. This was just the continuation of the higher…

General Relativity and Quantum Cosmology · Physics 2023-03-29 S. Deser , M. Henneaux

General Relativity enjoys the freedom of different geometrical interpretations in terms of curvature, torsion or non-metricity. Within this geometrical trinity, a simpler geometrical formulation of General Relativity manifests itself in the…

General Relativity and Quantum Cosmology · Physics 2020-12-30 Fabio D'Ambrosio , Mudit Garg , Lavinia Heisenberg

We consider gravity coupled to a second metric in the strong coupling limit, where the second kinetic term is absent. This system belongs to the recently discussed class of models of "gravity with auxiliary fields" by Pani et al. We prove…

High Energy Physics - Theory · Physics 2015-06-17 Máximo Bañados , Diego Cohen

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

Bimetric gravity is an interesting alternative to standard GR given its potential to provide a concrete theoretical framework for a ghost-free massive gravity theory. Here we investigate a class of Bimetric gravity models for their…

Cosmology and Nongalactic Astrophysics · Physics 2023-07-12 Ajay Bassi , Shahnawaz A. Adil , Manvendra Pratap Rajvanshi , Anjan A. Sen

Massive spin-2 particles has been a subject of great interest in current research. If the graviton has a small mass, the gravitational force at large distances decreases more rapidly, which could contribute to explain the accelerated…

High Energy Physics - Theory · Physics 2017-06-07 Denis Dalmazi , Hemily Gomes Marciano Fortes

We continue our investigation of massive gravity in the massless limit of vanishing graviton mass. From gauge invariance we derive the most general coupling between scalar matter and gravity. We get further couplings beside the standard…

General Relativity and Quantum Cosmology · Physics 2011-04-22 D. R. Grigore , G. Scharf

The bimetric variational principle is a subtle reinterpretation of general relativity that assumes the spacetime connection to be generated by an independent metric. Unlike the so called Palatini formalism that promotes the connection into…

General Relativity and Quantum Cosmology · Physics 2012-10-23 Jose Beltran Jimenez , Alexey Golovnev , Mindaugas Karčiauskas , Tomi S. Koivisto

General Relativity (GR) is an effective field theory valid in the infrared regime. Quadratic curvature extensions intended to probe ultraviolet physics generically propagate a massive spin-$2$ ghost and are therefore non-unitary. One route…

General Relativity and Quantum Cosmology · Physics 2025-10-21 Gaetano Lambiase , Shinji Mukohyama , Tanmay Kumar Poddar , Anna Chiara Rescigno

In this paper we investigate a particular ghost-free bimetric theory that exhibits the partially massless (PM) symmetry at quadratic order. At this order the global SO(1,4) symmetry of the theory is enhanced to SO(1,5). We show that this…

High Energy Physics - Theory · Physics 2017-01-03 Luis Apolo , S. F. Hassan , Anders Lundkvist